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1 year ago

Find an equation of a line with slope -3/4 and that passes through P(-4,6) in standard, form.

Mathematics

1 answer:

SashulF [63]1 year ago

3 0

Answer:

$y = - \frac{3}{4}x + 3$

Step-by-step explanation:

the standard form of any straight line is:

y = m × x + c

where: y is the y value of the point

x is the x value of the point

m is the gradient/slope

SOLUTION

$y = mx + c \\ 6 = - \frac{3}{4} ( - 4) + c \\ c = 3$

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A rancher decreased the number of his

tamaranim1 [39]

Answer:

20%

Step-by-step explanation:

150-120 is 30

30 is 1/5 of 150

1/5 is .2, which is 20%

Hope that helps~

7 0

2 years ago

The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

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

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0

2 years ago

Find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10

Dmitry_Shevchenko [17]

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

3 0

2 years ago

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padilas [110]

A line segment can have both line symmetry and rotational symmetry.
Answer: C )

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2 years ago

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The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun

Juliette [100K]

Pythagorean Theorem
3*3+8*8=x*x
9+64=x*x
73=x*x
x=√73≈8.5

4 0

2 years ago