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3 years ago

Write and equation in slope intercept form (y=mx+b) for the graph below

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

find the slope by taking two points and putting them in

y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)

y - 2 = 1/3(x-6)

when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

effie ate 4 peaches. this represents 50% of the bag of peaches. how many peaches were originally in the bag?

Marat540 [252]

8 peaches. 8 peaches because if effie ate 4 peaches, or half of the bag, you would have to multiply 4 by 2 to get the answer of 8 peaches. mark brainliest please!

4 0

2 years ago

Read 2 more answers

PLEASE HELPPPPPPP #1

sveta [45]

Answer:

is the second answer 2x+1/x-1

6 0

2 years ago

Slope of points (2,3) and (-4,12)

Ira Lisetskai [31]

Answer:

$\huge\boxed{slope=-\dfrac{3}{2}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 3) and (-4, 12).

Substitute:

$m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}$

8 0

3 years ago

God dang this is my last question will someone please like just help me on this? I literally made 3 questions and nobody is help

Art [367]

Answer:

kiki has $4.17 and jordan has $4.14 kiki has 0.03 more than jordan

Step-by-step explanation:

If you add up the numbers for kiki you get $4.17 and if you do the same for jordan with the numbers they gave you for him you get $4.14 then you just minus 4.17 and 4.14 and thats how you get 0.03.

5 0

3 years ago

Read 2 more answers