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4 years ago

15

8x + 3y = 4 - 7x + 5y = -34

1 answer:

maxonik [38]4 years ago

3 0

Answer:

The solution is in the picture above

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Rasek [7]

Answer:

B. 1

Step-by-step explanation:

Multiply the first term by $x^a$ , the second term by $x^b$ , the third term by $x^c$ .

<u>The first term becomes:</u>

$x^a/(x^a+x^b+x^c)$

<u>The second term becomes:</u>

$x^b/(x^a+x^b+x^c)$

<u>The third term becomes:</u>

$x^c/(x^a+x^b+x^c)$

<u>Their sum is:</u>

$(x^a+x^b+x^c)/(x^a+x^b+x^c) = 1$

Correct choice is B

3 0

2 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo

irinina [24]

(-6,1)
(-2,5)

Slope:-

$\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1$

Point-Slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-1=1(x+6)$

$\\ \sf\longmapsto y-1=x+6$

$\\ \sf\longmapsto x-y+7=0$

3 0

3 years ago

PLEASE ANSWER<br><br> Answer Choices:<br> 1# 28.26<br> 2# 15.7<br> 3# 12.56<br> 4# 14.13

Setler [38]

Answer: 2

Step-by-step explanation: because it timed the seconde one so that is why its 2

hope the answer helped :)

7 0

3 years ago

Read 2 more answers

1. Determine if the two expressions are equivalent and explain your reasoning.

Elena-2011 [213]

1. Yes because of the constant and coefficient if you add it. Like the answer is 5m +4.

6 0

3 years ago