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3 years ago

What are 2 numbers that adds to 9 and multiplies to 14?

Mathematics

1 answer:

Anettt [7]3 years ago

4 0

The answer is 7 and 2

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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

Help please I need help

Eddi Din [679]

Answer:

x = 5/13

Step-by-step explanation:

$x+\dfrac{2}{13}=\dfrac{7}{13}\\\\ x+\dfrac{2}{13}-\dfrac{2}{13}=\dfrac{7}{13}-\dfrac{2}{13}\\\\x+0=\dfrac{7-2}{13}\\\\\boxed{x=\dfrac{5}{13}=0.38462}$

7 0

2 years ago

Read 2/3 pages in an hour how long would it take to read 20 pages

maw [93]

It would take you about 13.3 hours to read 20 pages

6 0

3 years ago

Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?

Andrew [12]

Answer:

120°

Step-by-step explanation:

All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

⇒ m∠AGE = 60° + 60°

= 120°.

7 0

2 years ago

Which statement is always true?

ryzh [129]

The correct answer is C. <span>Similar polygons are never congruent.</span>

3 0

3 years ago