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3 years ago

write an equation in slope intercept form for the line that is perpendicular to y=-1/4x+2 and passes through the points (-4,3)

1 answer:

8 0

For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1, and in this case:

-m/4=-1

-m=-4

m=4, so the slope of the perpendicular line is 4 so we have thus far:

y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"

3=4(-4)+b

3=-16+b

19=b, so our line is:

y=4x+19

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What does the equation 7x^2-3y^2-x+2y+4=0 represent

Romashka [77]

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

8 0

2 years ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

3 years ago

How can we classify the following shapes ? Please choose correct answers that apply !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!

liq [111]

Answer:

Step-by-step explanation:

Cause a square has all equal sides

5 0

3 years ago

The volume of a barn is given by the formula V = = r2h.

HACTEHA [7]

Answer:

it is what it is take a guess

Step-by-step explanation:

4 0

3 years ago

Determine if (3,-4) is a solution to y < 2x – 5.

spin [16.1K]

You would plug in the ordered pair into the equation.

1. Put the y value from the ordered pair in the y spot, and the x value in the x spot.

2. add up the x side

Does it equal the y side?

Im a bit confused as the question says “&lt” at least on my end? I’m not sure if that’s just the way it ended up being written or if it means something. Sorry if my answer doesn’t apply :(. But if it does, I hope it helps!

6 0

3 years ago