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2 years ago

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

4 0

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want $f(a) = a^2 + 7a + 12 = 2$ . We can subtract 2 from both sides of this equation to get $a^2+7a+10=0$ . We can factor this to get that $(a+2)(a+5)=0$ . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

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Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR

erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

all angles of the quadrilateral XAYB are right angles

all sides of XAYB are congruent and equal to 6 + 8 = 14 units.

Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

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2 years ago

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mario62 [17]

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3 years ago

4/5(2x+5)−4=1 x = 1 1/4 x = 1 2/5 x = 5/8 x = 3 1/5

tia_tia [17]

The answer is x=5/8. The reason for this is when you divide it equal 0.625 then when you multiply that by 2 it equals 1.25. After you do that you add 5 which is 6.25. Now we divide 4/5 which is 0.8. Now, we multiply 6.25x0.8=5. 5-4=1. Therefore your answer is 5/8. Hope this helps :)

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2 years ago

What is 2/3 plus 4/9 equal

ss7ja [257]

2/3+4/9
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2 years ago

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?