Choose the equation below that represents the line passing through the point (−5, 1) with a slope of three halves.

Answers

Answer 1

Answer: point slope
y-y1=m(x-x1) where slope=m and you are given the point (x1,y1)

slope=3/2
point is (-5,1)
y-1=(3/2)(x+5)
if you wan in slope intercept
distribute
y-1=3/2x+15/2
add 1
y=3/2x+17/2

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43.217665 miles a second I think you were asking.

Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

Answers

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13 or 0.385.

Answer:

5/13

Step-by-step explanation:

Which of the following is a factor of 3x3 + 18x2 + 27x?9x

x3

x + 3

x - 3

Answers

Hello,

Answer C

3x^3+18x²+27x= 3x(x²+6x+9)=3x(x+3)²

Answer:

x + 3

Step-by-step explanation:

when you factor the expression, the answer is 3x(x+3)^2

not 9x (because of 3x^3)

not x^3 (b/c of 27x)

not x - 3

have a wonderful day!!!!!

What is the function doing in the interval -37 poin
Decreasing
Increasing

Answers

Answer:

increasing

Step-by-step explanation:

What two numbers multiply to 18 but add to get -5?

Answers

so this one has to be two negative numbers to get a positive number. so then you can think of what multipys to 18
-9*-2 wont work because -9+-2 gets you -11
-6*-3 wont work because -6+-3 gets negative nine
i dont think there is one honestly. ive sat here and tried them all
2 and 9 6 and 3 and 18 and 1

Final answer:

To find two numbers that multiply to 18 and add to -5, consider the factors of 18 and check which pair meets the conditions. The numbers that satisfy the given conditions are -9 and -2.

Explanation:

To find two numbers that multiply to 18 and add to -5, we can use the factoring method. By considering all the possible factors of 18, we can find the pair of numbers that satisfy the given conditions. The two numbers that meet these criteria are -9 and -2.(-9 * -2 = 18, -9 + -2 = -11)

Learn more about Factoring here:

brainly.com/question/34290719

#SPJ2

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