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3 years ago

15

Could someone please help me with this one

1 answer:

Dvinal [7]3 years ago

8 0

The answer is a because when they are added that's what they equal then divide by 5

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Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x

Nostrana [21]

Answer:

Step-by-step explanation:

Given p = x²+6

We are to express (x²+6)-21 = 4x²+24 in terms of p

We need to rewrite the expression first

(x²+6)²-21 = 4x²+24

Factor out 4 from the right hand side;

(x²+6)²-21 = 4(x²+6)

Replace x²+6 with p

p²+21 = 4p

Collect like terms

p²-4p = -21

p²-4p+21= 0

Hence the required equation is p²-4p+21= 0

5 0

3 years ago

Read 2 more answers

ANTONII [103]

Right triangles are triangles that have the measure of one angle to be 90 degrees

<h3>How to calculate the missing parts</h3>

<u>a. A = 40°10'13", hypotenuse = 402.36 ft</u>

Convert the angle to degrees

$A=40.17^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(40.17) = \frac{Opposite}{402.36}$

Cross multiply

$Opposite = 402.36 * \sin(40.17)$

$Opposite = 259.55$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(40.17) = \frac{Adjacent}{402.36}$

Cross multiply

$Adjacent = 402.36 * \cos(40.17)$

$Adjacent = 307.46$

Hence, the missing parts are:

Adjacent = 307.46 and Opposite = 259.55

<u>b. A = 62°09'15", hypotenuse = 338.74 m</u>

Convert the angle to degrees

$A=62.15^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(62.15) = \frac{Opposite}{338.74}$

Cross multiply

$Opposite = \sin(62.15) *338.74$

$Opposite = 299.50$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(62.15) = \frac{Adjacent}{338.74}$

Cross multiply

$Adjacent = \cos(62.15) * 338.74$

$Adjacent = 158.25$

Hence, the missing parts are:

Adjacent = 158.25 and Opposite = 299.50

<u>c. A = 36°22'10", adjacent side = 360.41 ft</u>

Convert the angle to degrees

$A=36.37^o$

Start by calculating the hypotenuse using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(36.37) = \frac{360.41}{Hypotenuse}$

Make Hypotenuse the subject

$Hypotenuse = \frac{360.41}{\cos(36.37)}$

$Hypotenuse = 447.60$

The opposite side is then calculated using the following cosine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(36.37) = \frac{Opposite}{447.60}$

Cross multiply

$Opposite = 447.60 * \sin(36.37)$

$Opposite = 265.43$

Hence, the missing parts are:

Hypotenuse = 447.60 and Opposite = 265.43

d. Hypotenuse = 428.29 m, opposite side =397.06 m

The adjacent is calculated as:

$Adjacent = \sqrt{Hypotenuse^2 - Opposite^2$

So, we have:

$Adjacent = \sqrt{428.29^2 - 397.06^2$

$Adjacent = 160.55$

Hence, the missing part is:

Adjacent = 160.55

<u>e. Hypotenuse = 409.31 ft, adjacent side = 274.82 ft</u>

The opposite is calculated as:

$Opposite= \sqrt{Hypotenuse^2 - Adjacent ^2$

So, we have:

$Opposite= \sqrt{409.31^2 - 274.82^2$

$Opposite= 303.33$

Hence, the missing part is:

Opposite= 303.33

<u>f. Opposite side = 375.82 m, adjacent side= 276.05 m</u>

The hypotenuse is calculated as:

$Hypotenuse= \sqrt{Opposite^2 + Adjacent ^2$

So, we have:

$Hypotenuse= \sqrt{375.82^2 + 276.05^2$

$Hypotenuse= 466.31$

Hence, the missing part is:

Hypotenuse= 466.31

Read more about right triangles at:

brainly.com/question/2437195

5 0

3 years ago

Solve this System of equation 3c+6d=18 6c-2d=22

olga55 [171]

Answer:

$3x + 6y = 18 \: \: \: \\ + \\ 3 \times (6x - 2y = 22) \: \: \: 18x - 6y = 66 \\ \\ 21x = 84 \\ x = \frac{84}{21} = 4$

c=x=4

d=(18-3×4)÷6=6÷6=1=y

7 0

3 years ago

Bill has $25 to buy fruit from the store, He buys 10 apples and has $15 left over. What is the price for 1 apple?

ddd [48]

Answer:

1 apple = $1

Step-by-step explanation:

7 0

3 years ago

6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers?

AveGali [126]

Answer:

3(6.60/6)

Step-by-step explanation:

i dont see other equations but here is one

3 0

3 years ago