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2 years ago

What would be the slope for (-4,-7) (-6,4)

Mathematics

1 answer:

Sliva [168]2 years ago

6 0

Answer: $\frac{11}{-2}$

Step-by-step explanation:

ok so I'm going to try to show it the best c an

m = slope

the equation you use is

$\frac{y2-y1}{x2-x1} =$ m

so when using that formula with the cords, you get

$\frac{4-(-7)}{-6-(-4)}$

and then subtract everything and you'll get

$\frac{11}{-2}$

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Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. $y'=(3\sin x)'=3\cos x$ . Differentiate again to get $y''=(3\cos x)'=-3\sin x$ , then $y''+y=-3\sin x+3\sin x=0\neq 3\sin x$ so this choice of y doesn't solve the equation.

B. $y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x$ and $y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x$ , then $y''+y=10\sin x+6\cos x\neq 3\sin x$ so y is not a solution

C. $y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x$ hence $y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x$ . Then $y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x$ so y is a solution.

D. $y'=-3\sin x$ and $y''=-3\cos x$ , then $y''+y=0$ thus y isn't a solution

E. $y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x$ hence $y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x$ . Then $y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x$ then y is not a solution.

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2 years ago

The quantity of four minus one all raised to the five-minus- two power

leva [86]

Answer:

(4-1)^5-2

Step-by-step explanation:

The quantity means parenthesis, around four minus one, (closed quantity), all raised to the power (exponent) five minus 2

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2 years ago

Read 2 more answers

How much should you invest now at 7 1/4% simple annual interest in order to earn $190 interest in 4 months?

vlabodo [156]

Answer:

so principal amount is $7862.07

Step-by-step explanation:

Given data

rate = 7*1/4 % = 29/4 %

interest = $190

time = 4 months = 4/12 year

to find out

principal

solution

we know the simple interest formula i.e.

interest = ( principal × rate × time ) /100 ..................1

now put all value rate time and interest in equation 1 we get interest here

interest = ( principal × rate × time ) /100

190 = ( principal × 29/4 × 4/12 ) /100

principal = 190 × 12 ×100 / 29

principal = 7862.068966

so principal amount is $7862.07

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2 years ago

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mina [271]

Answer:

1 and 6 are like terms--true
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2 years ago

What would be the slope for (-4,-7) (-6,4)​

What would be the slope for (-4,-7) (-6,4)