What are the solutions of x^2-2x+10=0

Answer:

135 Miles

Step-by-step explanation:

Answer:

At the nearest mile, stations B and C are 75 miles apart.

Step-by-step explanation:

In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:

[tex](BC)^2=(AB)^2+(AC)^2-2(AB)(BC)cos(\alpha)[/tex]}

Where:

AB is the distance between stations A and B

AC is the distance between stations A and C

α is the angle formed between the AC and AB railway lines

[tex](BC)^2=(105)^2+(85)^2-2(105)(85)cos(45)[/tex]

[tex]BC=75.02 miles[/tex]

So, at the nearest mile, stations B and C are 75 miles apart.

Answer: The slope of the graph is 2x. In other words, rise over run: move up 2 and move to the right 1 because it is 2 over 1. The y-intercept is -3, which means you move down 3 on the y-axis.

Answer:

y = 2x+2

Step-by-step explanation:

When we have 2 points, we can find the slope from

m = (y2-y1)/(x2-x1)

   = (6--6)/(2--4)

   = (6+6)/(2+4)

   = 12/6

  = 2

The slope is 2

We can use the point slope form of the equation for a line

y-y1 = m(x-x1)

y-6 = 2(x-2)

We need to get this in slope intercept form

Distribute the 2

y-6 = 2x-4

Add 6 to each side

y-6+6 = 2x-4+6

y = 2x+2

Answer:

y = 2x + 2

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + b ( m is the slope and b the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6)

m = [tex]\frac{6+6}{2+4}[/tex] = [tex]\frac{12}{6}[/tex] = 2, hence

y = 2x + b is the partial equation

to find b substitute either of the 2 points into the partial equation

using (2, 6), then

6 = 4 + b ⇒ b = 6 - 4 = 2

y = 2x + 2 ← equation in slope-intercept form

Answer:

360 Minutes Long

Step-by-step explanation:

There are 60 minutes in an hour. Multiply 60*6, and you get 360 minutes.

Answer:

The art class would be 360 mins long.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!

Answer:

4j-3 = j   is an equation

2 + 66÷11 -3*2  is an expression

g+h>f  is an inequality

Step-by-step explanation:

An equation has an equals sign    =

An expression has no equals sign or greater or less than signs

An inequality has (  ≤,≥,<,>)   greater than or equal to, less than or equal to, greater than, less than signs

Answer:

7^4

Step-by-step explanation:

We are multiplying 7 together 4 times

7*7*7*7

The exponent represents how many times we are multiplying it together.

7^4

Answer:

[tex]7^4[/tex]

Step-by-step explanation:

A mathematical expression written in the form [tex]a^x[/tex] is said to be an exponential expression where [tex]a[/tex] is a constant called the base and [tex]x[/tex] is a variable.

Here we are given a numerical expression 7.7.7.7 which can also be converted into an exponential expression where base would be 7 while the value of its exponent will be 4 since the number 7 is occurring 4 time.

Therefore, the exponential expression will be [tex]7^4[/tex]

Answer:

13.48

Step-by-step explanation:

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

Given that, George has $15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numerical expression for the given situation is

15 - (9+2.65+2(1.35)+2(1.74))

= 15 - (9+2.65+2.7+3.48)

= 15 - 17.83

= -2.83

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

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Answer:

Your answer would require a 7 in the hundreds place

Step-by-step explanation:

1,273

The 1 is in the thousands place.  1 * 1000

The 2 is in the hundreds place.  2 * 100

The 7 in in the tens place.  7 * 10

 The 3 is in the ones place.  1 * 1

To get from 10 to 100, we would multiply by 10, so to get from the tens place to the hundreds place is 10 times greater.

Your answer would require a 7 in the hundreds place

In the number system, each place to the left is ten times the place to its right. Therefore, for the value of the 7 to be ten times greater than the 7 in 1,273, it must be in the tens place, such as in numbers like 702, 770, or 170.

The value of a digit in a number depends on its place or position. In the number system, each place is ten times the place to its right. Therefore, in the number 1,273, the value of the 7 is simply 7 (because it's in the units place). However, for the 7 in the new number to be ten times greater than the 7 in 1,273, it must be in tens place. Therefore, the new number could be 7x10 = 70 (with the 7 in the tens place). So, any number with 70 in the tens place (like 702, 770, or 170) has a 7 that's ten times the 7 in 1,273.

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Answer: The slope to the equation 9x + 4y = -36 is m=-9/4

Use the slope intercept form to find the slope, and the form being y=mx+b.

Hope this helps! :)

Answer:

Step-by-step explanation:

Plug in -7 for the variable a.

9x - 6(-7) = -7

Follow PEMDAS. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Multiply -6 with -7

9x - 6(-7) = -7

9x + 42 = -7

Isolate the variable x. Subtract 42 from both sides

9x + 42 (-42) = -7 (-42)

9x = -49

Divide 9 from both sides

(9x)/9  = (-49)/9

x = (-49)/9

x = ~5.44 (rounded)

~

Answer:

200ft.

Step-by-step explanation:

It's 200ft because you just do 1000 - 800 = 200ft

Answer:

200

Step-by-step explanation:

Answer: About 16

Step-by-step explanation:

Given : The length of the ramp = 500 cm

The circumference of the wheel = 32 cm

We know that the number of rotations made by a wheel is given by :-

[tex]\text{No. of rotations}=\text{Length of the ramp}\div\text{ Circumference of wheel}[/tex]

Therefore , the number of rotations made by each wheel = [tex]500\div32[/tex]

[tex]=15.625\approx16[/tex]  [Rounded to the nearest integer.]

Hence,  each wheel will make about 16 rotations while Shawn is coasting down the ramp.

Answer:

yes

Step-by-step explanation:

the box would typically be closer to the left than in the middle

Answer:

Yes you are correct because the box plot's data is skewed left

Step-by-step explanation:

Your welcome and don't forget to say Thanks

Answer:

You should recruit a total of 525 subjects for the whole study.

Step-by-step explanation:

The question states that you want 175 subjects per group for 3 groups.  This indicates that we need to either multiply 175 times 3, or we can add 175 three times to get the total number of subjects we would need to recruit.  Group 1 should have 175, Group 2 should have 175 and Group 3 should have 175.  Whether we multiply 175 x 3 or add 175+175+175, we get a final anser of 525.

Answer: B. 2/5 of the book.

Answer:

2w

Step-by-step explanation:

you multiply 2 by how many hours you have worked (w)

Answer:

The answer to number 1 is A.

Step-by-step explanation:

To find this answer, I made 1 1/3 into one big fraction. I multiplied the denominator by the whole number (3x1) and then added that product to the numerator. (3+1). The new fraction is now 4/3 (you keep the denominator the same). The next step is to multiply 4/3 by 3/8. When multiplying fractions, you multiply straight across (the numerator by the numerator, and the denominator by the denominator). Your answer is now 12/24. The final step is to simplify the answer. Since 12 is half of 24, the answer is 1/2.

Step-by-step explanation:

your answer is 99

Answer:

The answer is ASA.

Step-by-step explanation:

There is one other angle in the middle which is congruent to its self.

ASA (Angle-Side- Angle) method can we use to prove that the triangles are congruent

Two triangles are called to be congruent if their sides have the equal length and angles have equal measure.

Thus, two triangles can be superimposed side to side and angle to angle.

If any two angles and the side of the angles of triangle are equivalent to the corresponding, then the two triangles are said to be congruent by ASA rule.

There is one other angle in the middle which is congruent to its self

ASA (Angle-Side- Angle)

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Answer:

Step-by-step explanation:

Answer:

y = 33/5 or 6.6

Step-by-step explanation:

7y + 44 = 12y + 11

      -11              -11

7y + 33 = 12y

-7y           -7y

33 = 5y

Divide both sides by 5

= 33/5 or 6.6

Answer:

[tex]y=6\frac{3}{5}[/tex]

Step-by-step explanation:

We are given the following equation for which we have to solve for y:

[tex]7y+44=12y+11[/tex]

So first of all, we will rearrange the terms by putting the like terms together (variables on one side of the equation and constants on the other side) to get:

[tex]12y-7y=44-11[/tex]

Then solving for y:

[tex]5y=33\\\\y=\frac{33}{5}[/tex]

Therefore, the value of y is equal to [tex]y=6\frac{3}{5}[/tex] (rewriting y in a mixed fraction form).

Answer:

B

Step-by-step explanation:

A

f(1) = 4*(1/2)^1 = 4/2 = 2

(1,1) is not the same thing.

B

B is the answer.

C

f(0)=4 not 2 C is incorrect. C is not the answer

D

Same problem as C

Answer:

a = 5.81 m

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where b= 1.5 and c= 6

a^2 +1.5^2 = 6^2

a^2 +2.25 = 36

Subtract 2.25 from each side

a^2 +2.25-2.25 = 36-2.25

a^2 = 33.75

Take the square root of each side

sqrt(a^2) = sqrt(33.75)

a = 5.809475019

We only take the positive root because length must be positive

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = [tex]( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )[/tex].

But, [tex]\frac{-8k-3}{k+1}[/tex] = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. [tex]k = \frac{3}{2}[/tex]

So, the ratio is k : 1 i.e [tex]\frac{3}{2} : 1[/tex] i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, [tex]\frac{9k-1}{k+1}[/tex] = m where [tex]k = \frac{3}{2}[/tex]

i.e. m = [tex]\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}[/tex]

i.e. m = [tex]\frac{27-2}{3+2}[/tex]

i.e. m = [tex]\frac{25}{5}[/tex]

i.e. m = 5.

Hence, the value of m is 5.

Answer:

m=5

Step-by-step explanation:

Given: Point [tex]C(x_3,y_3)=(-6,m)[/tex] divides the join of point [tex]A(x_1,y_1)=(-3,-1)[/tex] and point [tex]B(x_2,y_2)=(8,9)[/tex]

Let the line AB divides by Point C in a ratio m:n=k:1

Then, Using section formula   [tex](x_3,y_3)=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]

Applying formula,

[tex]x_3,y_3=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]

[tex]x_3,y_3=\frac{-8k-3}{k+1},\frac{9k-1}{k+1}[/tex]

But, [tex]x_3=-6[/tex]

Therefore,  [tex]x_3=\frac{-8k-3}{k+1}[/tex]

[tex]-6=\frac{-8k-3}{k+1}[/tex]

[tex]-6k-6=-8k-3[/tex]

[tex]2k-3=0[/tex]

[tex]k=\frac{3}{2}[/tex]

Therefore, C divides line AB in 3:2

Now,  [tex]m=\frac{9k-1}{k+1}[/tex]  where, k=3/2

[tex]m=\frac{9\frac{3}{2}-1}{\frac{3}{2}+1}[/tex]

[tex]m=\frac{\frac{25}{2}}{\frac{5}{2}}[/tex]

[tex]m=\frac{25\times2}{2\times5}[/tex]

[tex]m=5[/tex]

Answer:

option C

[tex]f(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

we have

[tex]f(x)=-2\sqrt{x-3}+8[/tex]

using a graphing tool

see the attached figure N[tex]1[/tex]

The range is the interval--------> (-∞,8]

[tex]y\leq 8[/tex]

case A) [tex]f(x)=\sqrt{x-3}-8[/tex]

using a graphing tool

The range is the interval--------> [-8,∞)

[tex]y\geq -8[/tex]

case B) [tex]f(x)=\sqrt{x-3}+8[/tex]

using a graphing tool

The range is the interval--------> [8,∞)

[tex]y\geq 8[/tex]

case C) [tex]f(x)=-\sqrt{x+3}+8[/tex]

using a graphing tool

The range is the interval--------> (-∞,8]

[tex]y\leq 8[/tex]

case D) [tex]f(x)=-\sqrt{x-3}-8[/tex]

using a graphing tool

The range is the interval--------> (-∞,-8]

[tex]y\leq -8[/tex]