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10 months ago

Identify the slope and y-intercept of the line y = ×/2 -7

Mathematics

1 answer:

arlik [135]10 months ago

7 0

Answer:

Slope: $-\frac{1}{5}$ Y-intercept: (0,0)

Step-by-step explanation:

By putting this into a graph you can see that the y-intercept is (0,0). Also, by looking at the chart and using the walk, rise rule you can see that the slope is $-\frac{1}{5}$ .

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A triangle is translated by using the rule (x, y) right-arrow (x minus 4, y + 1). Which describes how the figure is moved?

mel-nik [20]

Answer:four units left one unit up

Step-by-step

on a Cartesian plane

x increases positively as you move along the right side of the plane

and decreases as you move along the left side of the plane.

y increases positively as you go up the plane

and decreases as you move downward the plane.

Step-by-step explanation:

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2 years ago

Joey had a balance of $250.50 in his account, and then he made a purchase for $317.25. What is the new

aivan3 [116]

Answer:

Joey has no money in his account. He is now indebted for $66.75

Step-by-step explanation:

250.5 - 317.25 = -66.75

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2 years ago

A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.

kenny6666 [7]

Answer:

25%=$8.74 7.5%=$2.62

Step-by-step explanation:

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2 years ago

Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls

Helen [10]

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

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soda = 3.34

7 0

2 years ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

2 years ago

Identify the slope and y-intercept of the line y = ×/2 -7​

Identify the slope and y-intercept of the line y = ×/2 -7