what is the equation of the graphed line in point-slope form?
A. y+3=2(x+3)
B. y=2(x+3)
C. y+3=2x
D. y-3=2(x-3)
Answers
y=mx+b, where m=slope and b=y-intercept (value of y when x=0)
m=(y2-y1)/(x2-x1) "change in x divided by change in y"
m=(3--3)/(0--3)
m=6/3
m=2
And we can see the point (0, 3) so we know b=3 thus our line is:
y=2x+3
Now point slope form is y-y1=m(x-x1), where m is the slope and (x1,y1) is any point on the line...we know slope is 2 and we can use (-3,-3) for the point so:
y+3=2(x+3)
So it is answer A.
Related Questions
Can someone help me plz!!!
Answers
Choose the correct description of the graph of the compound inequality
2x + 5 > 9 and 5x less than or equal to 30.
A) A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right
B) A number line with an open circle on 2, a closed circle on 6, and shading in between
C) A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right
D) A number line with a closed circle on 2, an open circle on 6, and shading in between
Answers
Answer:
B) A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
easy answer
what is f^-1(1)? inverse function
Answers
f⁻¹(x) = x = y
If x = 1 → f(1) = y =1
if x = 1 → f⁻¹(1) = x = 1
Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.
Answers
tan⁻¹(0.78) = A
The value of A in the equation to the nearest hundredth is 37.95°.
Answer:
[tex]A\approx 37.95^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]\text{tan}(A)=0.78[/tex]. We are asked to find measure of angle A in degrees.
We will inverse tangent to find measure of angle A as:
[tex]A=\text{tan}^{-1}(0.78)[/tex]
[tex]A=37.954230875133^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]A\approx 37.95^{\circ}[/tex]
Therefore, the measure of angle A is approximately 37.95 degrees.
PLZ I NEED HELP ASAP
Annie has a compost pile that produces 12 pounds of compost a day from yard waste. Which function expresses the amount of compost (c) as a function of the number of days (d)? The function representing the relationship between the amount of compost and the number of days is__, with the input as__.
Answers
Answer: number of days: c=f(d) =12d
Imput:12
Step-by-step explanation:
Gabriella said a triangle with an angle of 98 degrees was an obtuse angle. Cynthia said a triangle with an angle of 98 degrees was an acute triangle. Who is right and why?
Answers
so if we see gabby's statement, ,98>90 so tecnically, she is correct
cynthya's statement is false because 98>90 so it is an obtuse angle
The janitor found that it was leaking at a rate of 13 fl oz per minute How fast was the pipe leaking in gallons per hour?
Answers
16cup=1gal
so
16*8=128oz per gallon
13oz/min
alrighty
13oz=13/128gal
1min=1/60hr
(13/128gal)/(1/60hr)=(13/128gal)(60hr/1)=78hr/128gal
128gal/78hr=64gal/39hr≈6.09375
about 6 gallons per hour
Bilal is sharing candy with 6 of his friends. He has 5 over 6 of a bag of candy left after he takes what he wants. What fraction of candy will each of his friends get if he shares equally with them?
_____ of the bag
Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1 half as many bags of clothes as Jenny did. If Jenny collected 3 over 4 of a bag of clothes, what portion of a bag of clothes did Hanan collect?
_____bags
Answers
the 2nd one is 3/8 bags
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
Answers
C = 2πr
C = 2(3.14159)(8 inches)
C = 50.265 inches
then 60/360 = 1/6 of the circle
50.265 inches / 6
= 8.378 inches (Round answer as needed)
Answer:
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
Step-by-step explanation:
we know that
In the triangle ABC
see the attached figure to better understand the problem
[tex]AC=BC[/tex] -----> is the radius of the circle
[tex]m<CAB=m<CBA[/tex]
[tex]m<ACB=60\°[/tex] ----> given problem (central angle)
Initially the triangle ABC is an isosceles triangle
Remember that
the sum of the internal angles of triangle must be equal to [tex]180\°[/tex]
For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to [tex]60\°[/tex]
The equilateral triangle has three equal sides and tree equal angles
so
[tex]AC=BC=AB[/tex]
Hence
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
Use 1% or 10% to estimate 8% of 310
Answers
10% of 310 = 310÷10 = 31
1% of 310 = 310÷100 = 3.1
2% of 310 = 2×3.1 = 6.2
8% of 310 = 31 - 6.2 = 24.8
A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative intergers to represent this situation. Find the sum and explain how it is related to the problem.
Answers
'loses six yards' as negative expression is -6
The negative sum is: [-3 + -6] and working this sum we get -9
This means the football team loses 9 yards altogether
Joseph pays $20 for his base phone in addition to the $0.10 per text. Micki pays $10 for her phone plan plus the $0.15 per text. Write a function for Joesph's phone plan and for Micki's phone plan.
Provide the number of text messages in which the plans are the same plan.
Answers
m=10+0.15t
They wil cost the same when m=j so we can say:
10+0.15t=20+0.1t, subtract 0.1t from both sides
10+0.05t=20 subtract 10 from both sides
0.05t=10 divide both sides by 0.05
t=200
So when one texts 200 times, both plans cost the same amount.
By using the equations Cj = 20 + 0.10x for Joseph's phone cost and Cm = 10 + 0.15x for Micki's phone cost, we find their costs would both be the same if 200 text messages were sent.
Explanation:The question is asking us to create an equation for both Joseph's and Micki's texting plans. In mathematical terms, the cost for each plan would be represented by the equation Cost = base rate + (cost per letter)x, where x represents the number of texts.
So for Joseph, the equation would be Cj = 20 + 0.10x and for Micki the equation would be Cm = 10 + 0.15x.
To find out when both plans cost the same, we set the two equations equal to each other and solve for x.
20 + 0.10x = 10 + 0.15x
By subtracting 0.10x from both sides and then subtracting 10 from both sides we get:
x = 200.
This means that both plans would cost the same if both parties sent 200 texts.
Learn more about mathematical equation here:https://brainly.com/question/29514785
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The pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/ft2 of pressure is exerted by a force on an area of 3 ft2 , what is the pressure exerted by the same force on an area of 6 ft2?
A) 8 N/ft2
B) 16 N/ft2
C) 4 N/ft2
D) 32 N/ft2
Answers
16 = C / 3
Solve for C
C=16×3=48
Now find P if A = 6. and C=48
P = C/6
P = 48/6
P = 8 N/ft2
Answer:
A) 8 N/ft2
Step-by-step explanation:
Pressure is the normal force per unit area, that is, it is equivalent to the force acting on the surface unit, and is given by:
[tex]P=\frac{F}{A}[/tex]
Where:
[tex]P=Pressure\\F=Normal\hspace{3}force\\A=Area\hspace{3} where \hspace{3}force\hspace{3} is \hspace{3}applied.[/tex]
In the first case:
[tex]P=16N/ft^2\\A=3ft^2[/tex]
Using the previous equation and solving for [tex]F[/tex] :
[tex]F=P*A=16*3=48N[/tex]
Now, for the second case, since the force is the same applied in the first case, then:
[tex]P=\frac{F}{A} =\frac{48}{6} =8N/ft^2[/tex]
Therefore the answer is:
A) 8 N/ft2
([solve by writing an equation])
A pair of jeans costs 75% as much as a pair of corduroy pants. what is the cost of each if the total cost for the jeans and cords is $42?
I know the answer is Jeans: $18 and Cords: $24 but how do I write that in an equation to solve??
thank you!!!
Answers
"A pair of jeans costs 75% as much as a pair of corduroy pants."
this means [tex] x=\frac{75}{100}*y [/tex], simplifying by 25:
[tex]x= \frac{3}{4} y[/tex] (equation 1)
"the total cost for the jeans and cords is $42?"
x+y=42 (equation 2)
substitute x form equation 1, in equation 2
x+y=42
[tex] \frac{3}{4} y+y=42[/tex]
[tex] \frac{3}{4} y+ \frac{4}{4} y=42[/tex]
[tex]7y=4*42 [/tex]
y=4*6=24
substitute y=24 in either of equations 1 or 2:
x+y=42 (equation 2)
x+24=42
x=42-24=18
Answer: Jeans cost 18$, Cords cost 24$
A surveyor measures the angle of elevation to a point on a mountain to be 18 degrees the point on the mountain is horizontally 4 miles away from the surveyor the vertical change in elevation from the point where the surveyor is standing to the point on the mountain is___ miles?
Answers
[tex]tan(18)= \frac{x}{4} [/tex]
and 4 tan(18) = x.
x = 1.3 miles
Answer:
1.3 miles
Step-by-step explanation:
Solution:-
- The surveyor stands at a platform that is B = 4 miles and at an elevation of θ = 18 ° away from the point on the mountain.
- We can construct a right triangle from surveyor to the point of observation. To determine the change in height/elevation (H) we will apply the trigonometric relation as follows:
tan ( θ ) = H / B
- Solve for the elevation (H):
H = B*tan ( θ )
H = 4*tan ( 18 )
H = 1.3 miles
- The change in elevation from surveyor to point of observation is H = 1.3 miles.
There are 50 jelly beans. if 7 of them are red, and 23 are black, what percentage of the jelly beans are not reed
Answers
Some facts about powers of ten are shown.
Use what you know about powers of ten to enter numbers that make the equation true.
Enter numbers to write 7.9×10^-6 in standard notation.
Answers
The number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Given that,
The number to write the given equation in standard notation.Based on the above information, the calculation is as follows:
[tex]= 7.9\times 10^-6 = 7.9 \times \frac{1}{1,000,000}[/tex]
= 0.0000079
Therefore we can conclude that the number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Learn more: brainly.com/question/7508826
Help me with this please!!!
Answers
do a ratio
11/2=X/24
24*11 = 264
264/2 = 132
X= 132
so 132 students
Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
Please show all work
Answers
(x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42)/(x+8)
There are two ways to do it: (a) long division, and (b) synthetic division.
Long Division
x⁴ + 7x³ - 2x² - 9x - 3
-------------------------------------------------
x+8 | x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42
x⁵ + 8x⁴
------------------------------------------------
7x⁴ + 54x³ - 25x² - 75x - 42
7x⁴ + 56x³
---------------------------------------
- 2x³ - 25x² - 75x - 42
- 2x³ - 16x²
---------------------------------
- 9x² - 75x - 42
- 9x² - 72x
----------------------------
- 3x - 42
- 3x - 24
-----------------
- 18
Answer:
x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)
Synthetic Division
--------------------------------------
-8 | 1 15 54 -25 -75 -42
-8 -56 16 72 24
-----------------------------------
1 7 -2 -9 -3 -18
Answer:
x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)
What is the length of a square
Answers
write the ordered pair that represents yz. then find the magnitude of yz. Y(-5,7), Z(-1,2)
Answers
yz = z - y = (-1 , 2) - (-5,7) = (4 , -5)
The magnitude of yz can be calculated as follows:
magnitude yz = sqrt [(4)^2 + (-5)^2]
= sqrt (41)
= 6.403
Answer: the answer is D on edge
Step-by-step explanation:
A line with a slope of 3 passes through the point (2,5) what is the equation of this line?
Answers
The equation is a horizontal line, therefore the slope is 0.
According to the empirical rule, for a distribution that is symmetrical and bell-shaped (in particular, for a normal distribution) approximately how much of the data values will lie within two standard deviations on each side of the mean?
Answers
The mean is μ, and the curve is symmetric about the mean.
The total area under the curve is 1.
The standard deviation is σ.
The interval (μ-σ, μ+σ) contains approximately 68% of the total area.
The interval (μ-2σ, μ+2σ) contains approximately 95% of the total area.
Answer: 95%
The original value of the car is $18,000 and it depreciates by 50% each year what is the value of the car after three years
Answers
value = 18000*(1-0.50)^3 = 2250
value after 3 years = $2250
A=p (1-r)^t
A the value of the car after 3 years?
P current value 18000
R rate of depreciation 0.5
T time 3years
A=18,000×(1−0.5)^(3)
A=2,250
What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?
Answers
x²+2x+y²+6y-39=0
(x²+2x+1)-1 +(y² +6y+9)-9 -39 =0
(x+1)² + (y+3)² = 49 = 7²
the radius is : 7
Find the measure of each exterior angle of a regular polygon with 24 sides
Answers
The formula for finding the measure of each exterior angle of a regular polygon is similar to the formula for finding the measure of each interior angle. We take the sum of the measures of the exterior angles which is always 360 degrees and we divide this by the number of sides in the polygon which is n. So the formula for finding the measure of each exterior angle of a regular polygon is simply 360 over n. In this problem since the polygon has 24 sides, we simply plug a 24 in for n and we have 360 over 15. 360 divided by 24 is 15. Therefore, the measure of each exterior angle of a regular polygon that has 24 sides is 15 degrees.
WILL GIVE BRAINLIEST PLEASE PLEASE PLEASE HELP ASAP!!
If <1 and <2 form a linear pair, m<1 = 100 + 20x, and m<2 = 20x, find
m<1 .
a.
2°
b.
40°
c.
140°
d.
180°
Answers
so
m<1 + m<2 = 180
100 + 20x + 20x = 180
40x = 80
x = 2
m<1 = 100 + 20x = 100 + 20(2) = 140
answer
c.
140°
express 3/4, 7/16,and 5/8 with the LCD
Answers
4 = 2²
16 = 2⁴
8 = 2³
Take common and non-common factors with highest exponent.
So LCD = 16
The new dneominator of all fractions is 16. Divide this number for the original denominators and multiply for numerator...
16/4 = 4
4*3 = 12
3/4 = 12/16
16/16 = 1
1*7 = 7
7/16 = 7/16
16/8 = 2
2*5 = 10
5/8 = 10/16
. If ON = 4x – 6, LM = 3x + 5, NM = x – 4, and OL = 4y – 3, find the values of x and y for which LMNO must be a parallelogram.
Answers
This means that
LM = ON
NM = OL
Using the equations, find x and y:
4x - 6 = 3x + 5
4x = 3x + 11
1x = 11
x = 11
x - 4 = 4y - 3
x - 1 = 4y
-1 = 3y
-1/3 = y
The values are:
x = 11
y = -1/3
What is the taxi distance between A(2, 5) and B(7, 9)?
Answers
t=|x2-x1|+|y2-y1|
t=5+4
t=9 units
If you mean the actual distance between the two points then:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2)^2+(9-5)^2
d^2=25+16
d^2=41
d=√41 units
d≈6.4 units (to nearest tenth of a unit)