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Anika [276]
3 years ago
9

Please help to solve this question

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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Contact [7]

a = 640s

a = 640(7.5)

a = 4800 \:

She owns 4800 acres.

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Please answer ASAP <br>Will mark BRAINLYEST and 40 points​
Nana76 [90]

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a. a + 10 is the correct option.

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Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
Dmitrij [34]

Answer : 2 boxes

Step-by-step explanation:

1/2 box = 1/4 house

So, 1 full box will be 2/4 or half of the house.

Therefore, 2 boxes of nails will be used for 4/4 or 1 birdhouse

i hope it helped.

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John is 5ft tall and is standing in the light of a 15ft lamppost. His shadow is 4ft long. He walks 1ft father away from the lamp
Dennis_Churaev [7]

The shadow lengthened by 2.25 ft.

<u>Step-by-step explanation:</u>

Height of the lamppost is not needed here.

We can write the ratio as,

5 /4 = x/5

25 = 4x

x = 25/ 4

Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.

25 / 4 - 16/ 4 = 25 - 16 / 4 = 9/4 = 2.25 ft

Length of the new shadow is 25/ 4 = 6.25 ft

So length of new shadow - length of old shadow = 6.25 - 4 = 2.25 ft shadow lengthened

3 0
3 years ago
Find condition that zeros of polynomial p(x)=ax2+bx+c are reciprocal of each other
snow_lady [41]
Suppose p(x)=ax^2+bx+c has two roots, reciprocals of one another. Call them r_1,r_2, with r_2=\dfrac1{r_1}.

Let's divide through p(x) by a for now. By the fundamental theorem of algebra, we can factorize p(x) as

x^2+\dfrac ba x+\dfrac ca=(x-r_1)(x-r_2)=(x-r_1)\left(x-\dfrac1{r_1}\right)

Expand the RHS to get

x^2-\left(r_1+\dfrac1{r_1}\right)x+1

so we must have

-\dfrac ba=r_1+\dfrac1{r_1}
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The first equation says a and b occur in a ratio of the negative sum of the roots of p(x), while the third equation says that the first and last coefficients a,c must be the same.
5 0
3 years ago
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