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3 years ago

If one factor of x2 + 2x - 24 is (x-6)

Mathematics

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

for this equation one factor is (x+6) and the other is (x-4)

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

Please give me the correct answer.

nydimaria [60]

Answer:

The third one which is the one on the bottom to the right under 34 the ont he bottom

7 0

3 years ago

Express the vector (4,-6) in terms of the standard unit vectors i and j

Aliun [14]

Four, -6 in terms of standard unit factors I NJ makes no sense

8 0

3 years ago

Simplify (-4 + 5i) + 2(1 + 3i). Enter your answer in the form a + bi.

luda_lava [24]

(-4 + 5i) + 2(1 + 3i)

Distribute 2 inside the parentheses.

(-4 + 5i) + 2 + 6i

Combine like terms.

is your answer.

5 0

3 years ago

Need help please guys.

KengaRu [80]

Answer: x= 21.6

Step-by-step explanation:

12^2 + 18^2 =x^2

144 + 324 =x^2

468 = x^2

c= 21.633

To the nearest tenth place is c= 21.6

3 0

3 years ago

Read 2 more answers