Ask question

Ask question

All categories

vladimir2022 [97]

3 years ago

9

Write the equation of the line that has a slope of -4 and goes through (3,-3)

1 answer:

Sindrei [870]3 years ago

3 0

The functional equation of the line is f (x)=a*x+b
you have already a: -4 -->f (x)=-4 x+b
Now you can use the point (3;-3)
3 is the x-coordinate and -3 the f (x)-coordinate
--> -3 = -4*(3) + b Now you can solve it
-3 = -12+b (+12)
b = 9
ANSWER: f (x) = -4x + 9

You might be interested in

−7x > 4(−3x − 5)<br><br> I'm bad at math

VashaNatasha [74]

-7x>4(-3x-5) do the distributive property

-7x>-12x-20 add 12 x to both sides

5x>-20 divide both sides by 5

x>-4

Hope that helps

brainliest is always appreciated

6 0

2 years ago

Read 2 more answers

solve the formula for h, and find the height of a trapezoid with an area of 60 m2 and bases of 8m and 12m

Allushta [10]

6, the formula is (b1+b2/2)*h
8+12/2=10
10*h=60 so h=6

3 0

3 years ago

Can someone help me ASAP

lianna [129]

Answer:

D. 1/5^15

Step-by-step explanation:

When an exponent is negative you need to get the reciprocal to make it positive.

3 0

2 years ago

Read 2 more answers

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

<u><em>Final answer</em></u>:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

The sum of two consecutive integers is 7. Find the numbers. (Enter your answers as a comma-separated list.)

DENIUS [597]

3,4?? 3+4=7 and they are right after the other ome

6 0

3 years ago