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3 years ago

How do you solve (a+5)^2=25 using quadratics

Mathematics

2 answers:

Leona [35]3 years ago

6 0

Answer:

a = 0 ; a = -10

Step-by-step explanation:

a squared number give as result a positive number, either if it is positive or negative

we have to find two numbers whose square is 25: these numbers are 5 and -5

a+5 = 5

a = 0

a+5 = -5

a = -10

agasfer [191]3 years ago

5 0

Answer:

(a+5)^2=25 means a^2+5^2=25, a^2=25-25 then a^2=√0, a=0

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Find the least common multiple of each pair of polynomials. 5 y² - 80 and y + 4

kobusy [5.1K]

The least common multiple of each pair of the polynomial (5y² - 80) and

(y + 4) is equal to 5(y-4)(y+4).

As given in the question,

Given pair of the polynomial is (5y² - 80) and (y + 4)

Simplify the given polynomial using (a² -b²) = (a-b)(a +b)

(5y² - 80) = 5(y² -16)

⇒(5y² - 80) = 5(y² - 4²)

⇒(5y² - 80) = 5(y -4)(y + 4)

And (y + 4) = (1) (y+4)

Least common multiple = 5(y-4)(y+ 4)

Therefore, the least common multiple of the given pair of the polynomial is 5(y -4)(y+ 4).

Learn more about least common multiple here

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1 year ago

if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie

maria [59]

Answer:

Answer: (second option) (-4,1)

Step-by-step explanation:

Transformations of Points and Shapes

The image shows a trapezoid ABCD where point A has coordinates (-4,1).

The following transformations are performed:

Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)

Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)

Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)

Answer: (second option) (-4,1)

5 0

3 years ago

Write a linear function f with f(-3) = 1 and f(13) = 5

GalinKa [24]

D = (5-1)/(13-(-3)) = 0.25

f(13) = 13d + x = 13 * 0.25 + a = 3.25 + a = 5
a = 1.75

f(x) = 1.75 + 0.25x

7 0

4 years ago

Please show me how to solve this equation step by step! 1/25(20-t)=4/25t-3/5

rjkz [21]

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25 Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5 3*25/5 = 75/5

20 - t = 4t - 15 Add t to both sides

20 - t + t =4t + t - 15 Combine like terms

20 = 5t - 15 Add 15 to both sides

20 + 15 = 5t - 15 + 15 Combine like terms

35 = 5t Divide by 5

35/5 = 5t/5 Switch sides

t = 7 Answer

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Harman [31]

Answer:

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Step-by-step explanation:

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3 years ago