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2 years ago

I will upvote and give brainliest answer

Mathematics

1 answer:

zloy xaker [14]2 years ago

6 0

Answer:

x=17

Step-by-step explanation

i just did the exact same question on a test and got it right .

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

What is the perimeter of a rectangle with a length of 6cm and a width of<br> 5cm?

Nataliya [291]

Answer:

perimeter = 22 cm

Step-by-step explanation:

perimeter = 2(L + W) = 2(6 + 5) = 22 cm

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3 years ago

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Answer:

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Step-by-step explanation:

183 miles divided by 3 hours of driving is 61 average rate of speed. :)

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mote1985 [20]

$bh + l(s_1 + s_2 + s_3)$
b = base length (of triangle)
h = height of triangle
s = side length of triangle
l = length of rectangle

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3 years ago

If Adam buys 5 snakes at 20% off and each snake costs s dollars, which expression is NOT equivalent to the situation stated?A)4s

olga2289 [7]

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