Is (1,-4) a solution to the equation y=-2x?
Yes or no? Please help /:

Answers

Answer 1

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

Answer 2

A solution means that it will make the statement true. Let substitute this in:

y = -2x
-4 = -2(1)
-4 = -2

-4 obviously isn't equal to -2, so it is not a solution to the equation.

Hope this helps!

Related Questions

Summer paints a room that has 400 square feet of wall space in 2.5 hours. at this rate, how long will it take her to paint a room with 720 square feet of wall space?

Answers

400/2.5 = 160 sq feet every hour

720 sq ft/160 sq ft = 4.5 hours

What is 19.2×108 minutes in hours? 1.152×1011 h 3.200×109 h 1.152×107 h 3.200×107 h

Answers

The answer to this question would be: 3.2 x 10^7 hours

To answer this question, you need to know how many minutes in an hour is, then convert the minutes into hours. To do this, you just need to divide the number with 60 minutes/hour. The calculation would be:

19.2×10^8 minutes / (60 minutes/hour) = 0.32 x 10^8= 3.2 x 10^7 hours

Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?

A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units

Answers

we know that

If Triangle MRN is created when an equilateral triangle is folded in half

then

[tex]RM=\frac{1}{2}*MN[/tex]

[tex]MN=6+2=8\ units[/tex]

[tex]RM=\frac{1}{2}*8=4\ units[/tex]

Applying the Pythagorean Theorem in triangle MRN

[tex]MN^{2}=NR^{2}+RM^{2}[/tex]

we have

[tex]MN=8\ units[/tex]

[tex]RM=x=4\ units[/tex]

[tex]NR=y[/tex]

substitute

[tex]8^{2}=y^{2}+4^{2}[/tex]

solve for y

[tex]y^{2}=8^{2}-4^{2}[/tex]

[tex]y^{2}=48[/tex]

[tex]y=\sqrt{48}=4\sqrt{3}\ units[/tex]

therefore

the answer is the option C

[tex]4\sqrt{3}\ units[/tex]

Answer:

The correct option is C.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is

[tex]MO=NO=MN=MS+SN=2+6=8[/tex]

Since NR is a perpendicular bisector, therefore

[tex]RM=\frac{MO}{2}=\frac{8}{2}=4[/tex]

Using Pythagoras property in triangle MNR,

[tex]MR^2+NR^2=MN^2[/tex]

[tex]4^2+y^2=8^2[/tex]

[tex]y^2=64-16[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

Therefore option C is correct.

Solve the quadratic equation by taking square roots. Allow for imaginary solutions. Enter your answer in simplest form. Equation: 5x (squared) - 5 = -17

Answers

5x^2 - 5 = -17

First add 5 to both sides:

5x^2 = -12

Now, divide by 5

x^2 = -12/5

Take the square root of both sides

x = sqrt -12/5

Because there can't be a square root of a negative number, your answer is:

x = sqrt -12/5 * i

Hope this helps!

The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 ft , find its area.

Answers

So the perimeter is 2 * length + 2 * width.

So we can assign the width a variable, x, and then for length, 5x, because it's five times the width, or x.

So, 2 * 5x + 2 * x

Or 10x + 2x

12x

Since that equals 96,

12x = 96

/12 /12

x = 8

Area is length times width.

Length is 5x, and width is x.

So basically, 5x * x = area

Or, if you substitute the variable in:

5 * 8 * 8

320 square feet

Final answer:

The width of the rectangle is 8 ft and the length is 40 ft. Therefore, the area of the rectangle is 320 square feet.

Explanation:

To find the dimensions of the rectangle, let's use variables. Let the width of the rectangle be x. Since the length is five times the width, the length would be 5x. The perimeter of a rectangle is equal to twice the sum of its length and width. Therefore, we can set up the equation 2(5x + x) = 96 to find the width.

Simplifying the equation, we have 12x = 96. Dividing both sides by 12, we get x = 8. So the width of the rectangle is 8 ft.

Now, we can calculate the length by multiplying the width by 5. The length would be 5(8) = 40 ft. The area of a rectangle is equal to its length multiplied by its width. Therefore, the area of this rectangle is 8 ft * 40 ft = 320 square feet.

When is it necessary to use three points to name an angle? If CP bisects and DPB , what is the measure of angle CPB?

Answers

Angle CP = 45 degrees, because it's bisecting a right angle (90 degrees) and half of 90 degrees is 45.

Final answer:

In geometry, three points are used to name an angle when there are multiple angles that share the same vertex. If CP bisects angle DPB, angle CPB is divided into two equal angles, and the measure of angle CPB is half of the measure of angle DPB.

Explanation:

In geometry, it is necessary to use three points to name an angle when there are multiple angles that share the same vertex. By using three points, we can clearly identify which angle we are referring to. In this case, if CP bisects angle DPB, it means that angle CPB is divided into two equal angles, and CP is one of the dividing lines. Therefore, the measure of angle CPB is half of the measure of angle DPB.

Learn more about Geometry here:

https://brainly.com/question/31408211

#SPJ2

What's the parabola in vertex for for (-5,0) and has a vertex (-2,1)

Answers

hello :
the parabola's equation is : f(x) = a(x+2)²+1

but ; f(-5) = 0
0 = a(- 5+2)²+1
9a+1=0.....a= -1/9
f(x) = (-1/9)(x+2)²+1

number 4 I have absolutely no idea how to do. I generally understand finding distance on the coordinate plane but this has really confused me. Please help.

Answers

For Part A, in creating the square, you did it correctly.

Now for Part B, you can create a right triangle by adding a point at -4, -3, and we'll call it, say, T.

Then you can use the Pythagorean's Theorem to find the length of one side of the square.

The Pythagorean's Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex]

A would be the distance between P and T, and B would be the distance between Q and T. So then, a would be 7, and B would be 2.

To fill it in, it would be [tex]7^{2} + 2^{2} = c^{2} [/tex]

or 49 + 4 = [tex] c^{2} [/tex]

or 53 = [tex]c^{2} [/tex]

or [tex] \sqrt{53} [/tex] = x

Which is equal to about 7.28

Now multiply that by 4 to get the perimeter, or 29.12

So the perimeter would be about 29.12

The distance formula is d=r/t. how long will it take (in hours) to travel 100 miles at a rate of 22mph? Show all work.

Answers

divide the distance ( 100 miles) by the speed ( 22 mph) to get the time

100/22 = 4.545454 hours (Round to 4.5 hours ?)

if you need hours and minutes multiply 0.545454 by 60 to get the minutes

4 hours 32.7 ( round to 33) 4 hours and 33 minutes

Which two expressions could be used to solve this problem?

Roberto ordered 4 pepperoni pizzas, 2 mushroom pizzas, and 3 cheese pizzas for his party. He paid the same price for each pizza. The total cost was $90. How much did each pizza cost?

Choose exactly two answers that are correct.

A.

4 × 2 × 3

B.

90 – 24

C.

90 ÷ 9

D.

90 obelus divided by(4 + 2 + 3)

Answers

I think the answer would most likely be C.

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
How old is Kevin and Uncle Bob

Answers

Kevin is 7 1/2 and Uncle Rob is 54

17-3 = 14 ( Tonya's age now)

14/2 = 7 ( Kevin's age)

14*3 = 42 ( Uncle Bob's age)

If m<1 = 7x + 6 and m<2 = 8x - 6, find the value of x so that p is perpendicular to q

Answers

Answer:

x = 12

Step-by-step explanation:

Given: [tex]\angle 1=7x+6[/tex]

[tex]\angle 2=8x-6[/tex]

∠1 and ∠2 form by two intersection line p and q.

p is perpendicular to q.

Therefore, ∠1 = ∠2 = 90°

So, 7x + 6 = 90°

7x = 84

x = 12

8x - 6 = 90°

8x = 96

x = 12

7x + 6 = 8x - 6

x = 6 + 6

x = 12

So, we get x=12 from all three equations.

hence, The value of x is 12

The perimeter of a square garden is to be at least 20 ft but no more than 32 ft. find all possible values for the lengths of its sides using a compound inequality

Answers

20 < = 4a < = 32
20/4 < = (4/4)a < = 32/4
5 < = a < = 8

so the squares perimeter can be at least 5 ft but no more then 8 ft

Answer:

Answer in pic

Step-by-step explanation:

Including a 8 %8% sales tax, an inn charges $ 135$135 per night. Find the inn's nightly cost before the tax is added.

Answers

that would be $135 / 1.08 = $125

What are the solutions to the equations |x-10|-4=2x

Answers

x is going to equal two in this equation.

A limousine service determines that its per-mile cost is $.36 and that it incurs $48 in miscellaneous expenses for each reservation.The service charges $3.56 per mile. What number of miles represents the break-even point?

Answers

2)

the limousine charges 3.56 per mile driven, so, their income from the sales, or revenue is say... if they drive "m" miles, then is 3.56*m or 3.56m.

now, their costs, how much does it cost to have the limousine up and rolling and a chaffeur and other, well, it boils down to $48 for each reservation, and it costs 36 cents or $0.36 per mile driven, so, if they drive for "m" miles, then the cost for that will be 0.36*m or 0.36m. So the total cost is 48 + 0.36m

when is the break-even point?

the break-even point is when... well, you break-even, when the income or sales is the same as the costs, so, you're not really losing any money, you're getting as much as you're spending, but you're not making any surplus or profit either. That happens when the Revenue = Costs.

[tex]\bf \stackrel{revenue}{3.56m}=\stackrel{costs}{48+0.36m}\implies 3.56m-0.36m=48\implies 3.2m=48 \\\\\\ m=\cfrac{48}{3.2}\implies m=\stackrel{miles}{15}[/tex]

3)

the costs for the grower for planting and caring for a tree is 18.53, so if he plants say "t" trees, then the costs will be 18.53*t or 18.53t.

there's a fixed costs, overhead, for managing the farm, workers, cashiers, forklifts and so on, of $600.

so the total costs is then, 18.53t + 600.

now, he plans to charge for each tree 65 bucks, so if sells "t" trees, the Revenue is 65*t or 65t.

again, what's the break-even point? well Revenue = Costs

[tex]\bf \stackrel{revenue}{65t}=\stackrel{costs}{18.53t+600}\implies 65t-18.53t=600\implies 46.47t=600 \\\\\\ t=\cfrac{600}{46.47}\implies t\approx \stackrel{trees}{12.91}[/tex]

so, the break-even point is at 12.91 trees, or 12 trees and 0.91 of another, I guess you'll just have to chop off a few branches to make it 0.91, but anyhow, if we go up to say 13 trees, the break-even point is passed and he's on the black ink, he's making profit.

so, he'll start making profit after the 12th tree sold.

4)

is the same thing more or less.

costs is $7000 in overhead, plus 24.5 for one scooter, if he makes "s" scooters, then the costs are 24.5s, so total costs is 7000 + 24.5s.

revenue is the price times quantity, if the quantity is "s" and the price is 36.75, then the revenue is 36.75s.

when he doesn't lose money? well, is the same break-even point, not making profit, but not losing money either.

[tex]\bf \stackrel{revenue}{36.75s}=\stackrel{costs}{7000+24.5s}\implies 36.75s-24.5s=7000 \\\\\\ 12.25s=7000\implies s=\cfrac{7000}{12.25}\implies s\approx \stackrel{scooters}{571.43}[/tex]

so, the break-even point is at 571.43 scooters, so using whole numbers wil just be 571 scooters then, well, you can't have 0.43 unless you're going to saw off the scooter, in which case you won't sell it anyway.

Find the value of x for which l is parallel to m. The diagram is not to scale.
a. 31
b. 62
c. 93
d. 149

Answers

If we continue the line which comes from line segment I till we reach line n then the angle formed will be 31 degrees ( interior alternate to 31 degrees)

x + 31 = 62 ( external angle of a triangle theorem).

Therfore x = 31 degrees answer

0. 135 written as a fraction

Answers

0.135 is the same as 135/1000 so change it to that

Find the GCF of 135 and 1000 and that would be 5.

Divide both the numerator and denominator by the GCF

Simplify

Answer: 27/200.

Explains how to write 0.135 as a fraction.

0.135 written as a fraction is 135/1000.

The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.

What is the width of the rectangle?

2 cm

6 cm

8 cm

10 cm

Answers

Area =72 sq. cm

length = x+6

Width = x

l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6

since width can't be negative , the answer is x=6.

therefore, the width is 6cm

Answer:

6cm

step-by-step explanation

just dived each number bye 72 to find 12 witch we would get 6cm

What is the slope of the equation y = -x + 4

Answers

This is in slope-intercept form which is:

y = mx + b

In this equation, m is the slope, so the slope in this equation is -1

Hope this helps!

Completely factor the expression.

w^2 - 15w + 54

Answers

It would be (w-6)(w-9) and so the solutions would be 6 and 9.

If a(x)=3x+1 and b(x)=

Answers

b°a means that we plug a into the x value of b and go from there. In this case, we get [tex] \sqrt{(3x+1)-4} = \sqrt{3x-3} = \sqrt{3(x-1)} [/tex] (using the distributive property) and we have to figure out what the domain is. The domain is what x can equal, and since you can't have a square root of a negative number, 3(x-1) has to be greater than or equal to 0. Solving for that, we get 3(x-1)≥0. Dividing both sides by 3, we get x-1≥0. Next, we can add 1 to both sides to get x≥1. In interval notation, [1 encompasses 1 while (1 is everything above 1. In addition, it doesn't have to be less than anything, so we have ∞) at the end, making it [1, ∞). We have the parenthesis at the end because it doesn't include infinity, but everything less than it

The answer is C. [1, ∞] on edge

Which transformation will be equivalent to rotating a figure 180° counterclockwise?

A) reflecting over the line y = x.
B) reflecting over the line y = -x.
C) reflecting over the x-axis and the y-axis.
D) translating left 3 units and down 5 units.

Answers

If we have given coordinates of the image are in form (h,k).

The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).

We have rule (h,k) ---> (-h,-k).

We can see that x-coordinate is being multiplied by -1 and then y-coordinate is also being multiplied by -1.

Above rule could be break into two parts.

(h,k) ---> (-h,k) ----> (-h,-k).

We can see in first step, (h,k) ---> (-h,k) is being reflecting over the x-axis and

in second step (-h,k) ----> (-h,-k) is being reflecting over the y-axis.

Therefore, correct option is C) reflecting over the x-axis and the y-axis.

The transformation which is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise is reflecting over the [tex]x[/tex]-axis and [tex]y[/tex]-axis. Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.

Further explanation:

Consider a coordinate in the form [tex](a,b)[/tex] where [tex]a[/tex] and [tex]b[/tex] are real numbers.

If [tex]a[/tex] and [tex]b[/tex] are positive then the point [tex](a,b)[/tex] lies in the first quadrant.

If we rotate the coordinate [tex](a,b)[/tex] [tex]180^{\circ}[/tex] counterclockwise then the coordinates become [tex](-a,-b)[/tex].

The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.

If we reflect the coordinate [tex](a,b)[/tex] about the [tex]x[/tex]-axis then the coordinates become [tex](a,-b)[/tex].

The coordinate [tex](a,-b)[/tex] lies in the fourth quadrant.

If we reflect the coordinate [tex](a,-b)[/tex] about the [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].

The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.

This implies that rotating a figure [tex]180^{\circ}[/tex] counterclockwise is equivalent to transformation of reflecting over [tex]x[/tex]-axis and reflecting over [tex]y[/tex]-axis.

Option (A)

In option (A) it is given that reflection about the line [tex]y=x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.

If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=x[/tex] then the coordinates become [tex](b,a)[/tex].

This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.

Therefore, the option (A) is incorrect.

Option (B)

In option (B) it is given that reflection about [tex]y=-x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.

If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=-x[/tex] then the coordinates become [tex](-b,-a)[/tex].

This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.

Therefore, the option (B) is incorrect.

Option (C)

In option (C) it is given that reflection about [tex]x[/tex]-axis and [tex]y[/tex]-axis is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.

If we reflect the coordinate [tex](a,b)[/tex] about [tex]x[/tex]-axis and [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].

This is same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.

Therefore, the option (C) is correct.

Option (D)

In option (D) it is given that shifting a point [tex]3[/tex] units left and [tex]5[/tex] units down is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.

If we shift the point [tex](a,b)[/tex], [tex]3[/tex] units left and [tex]5[/tex] units down the coordinate is [tex](a+3,b-5)[/tex].

This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.

Therefore, the option (D) is incorrect.

Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.

Learn more

1. Learn more about the rotation of the triangle about the origin https://brainly.com/question/7437053.

2. Learn more about when a triangle is rotated about the origin https://brainly.com/question/2992432.

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Geometry

Keywords: Transformation, rotation, reflection, clockwise, geometry, counterclockwise, -axis, - axis, coordinates, graph, origin, line, degrees, translation, symmetry.

The following list shows the items and prices for a restaurant order. Calculate the total amount if there is a 7% tax and the customer leaves a 20% gratuity. 1 appetizer: $7.39 2 entrees: $16.99 each 1 dessert: $5.29 2 drinks: $2.30 each a. $65.82 b. $65.10 c. $54.85 d. $40.60

Answers

The answer is B. $65.10
7% of $51.26 is $3.59, which adds up to $54.85
20% of $51.26 is $10.25, which, with the tax included here, adds up to $65.10. Hope this helped.

the answer is b $65.10 . took the test got it right

help me ............

Answers

3 1/2 x 2 = 7

4 2/3 x 2 = 9 1/3

7 + 9 1/3 = 16 1/3 yards

Find the amount (future value) of the ordinary annuity. (round your answer to the nearest cent.) $1500/semiannual period for 8 years at 2.5%/year compounded semiannually

Answers

The formula of the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT semiannual payment 1500
R interest rate 0.025
K compounded semiannual 2
N time 8 years
Fv=1,500×(((1+0.025÷2)^(2×8)
−1)÷(0.025÷2))
=26,386.75

Hope it helps!

Which of the following shows the numbers ordered from least to greatest?

A)0.004, 0.07, 0.6, 0.32
B)0.004, 0.6 0.07, 0.32
C)0.004, 0.07, 0.32, 0.6
D)0.004, 0.32, 0.07, 0.6

Answers

I'm gonna say C cause 0.004 is less than 0.07 and 0.32 is less than 0.6 cause 0.6 = 0.60....so ya the answer is C

Calculate the area of the figure below using the following information:

Area of triangle ABC = 23.85 square units

Area of triangle ACD = 29.4 square units

Area of triangle AED = 26.25 square units

The area of the Figure ABCDE is ______ square units.

Answers

The area of the figure ABCDE is equal to the sum of the areas of the triangles ABC, ACD and AED

Area = 23.85 + 29.4 + 26.25 = 79.5 square units

Answer:

Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²

Step-by-step explanation:

Area of pentagon ABCDE is sum of area of triangles ABC, ACD and ADE

Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE

Area of ΔABC = 23.85 unit²

Area of ΔACD = 29.4 unit²

Area of ΔAED = 26.25 unit²

Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE

Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²

4.5/17 - x = 3/8 solve

Answers

First, you move the x to the other side by adding x on both sides, getting
4.5/17 = 3/8 + x.
Then, you subtract 3/8 from both sides, getting 4.5/17 + 3/8 = x, and then you simplify the fraction.
The final answer would be x = 87/136, or 0.64.

Answer:

The value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]\frac{4.5}{17}- x =\frac{3}{8}[/tex]

We need to solve the provided equation for x.

Add x to both side.

[tex]\frac{4.5}{17}- x+x=\frac{3}{8}+x[/tex]

[tex]\frac{4.5}{17}=\frac{3}{8}+x[/tex]

Subtract 3/8 from both sides.

[tex]\frac{4.5}{17}-\frac{3}{8}=x[/tex]

[tex]x=\frac{4.5}{17}-\frac{3}{8}[/tex]

[tex]x=\frac{36-51}{136}[/tex]

[tex]x=\frac{-15}{136}[/tex]

[tex]x=-0.1102[/tex]

Hence, the value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].

A minor league baseball team plays 117 games in a season. if the team won 13 more than 3 times as many as they lost. how many wins and losses

Answers

W + L = 117
W = 3L + 13

3L + 13 + L = 117
4L + 13 = 117
4L = 117 - 13
4L = 104
L = 104/4
L = 26 <=== 26 losses

W = 3L + 13
W = 3(26) + 13
W = 78 + 13
W = 91 <=== 91 wins

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Is (1,-4) a solution to the equation y=-2x? Yes or no? Please help /:

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Is (1,-4) a solution to the equation y=-2x?
Yes or no? Please help /: