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3 years ago

Find all possible values of k so that x^2 + kx - 32 can be factored.

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

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One side of a triangle is half the longest side. The third side is

Illusion [34]

Answer:

The length of the sides are 9 units, 18 units and 11 units

Step-by-step explanation:

Let

x ----> one side of the triangle

y ----> the longest side of the triangle

z ----> the third side of the triangle

we know that

The perimeter of triangle is equal to

$P=x+y+z$

we have

$P=38\ units$

$38=x+y+z$ ----> equation A

$x=\frac{y}{2}$ -----> equation B

$z=y-7$ ----> equation C

substitute equation B and equation C in equation A

$38=\frac{y}{2}+y+(y-7)$

solve for y

$38=\frac{5}{2}y-7$

$\frac{5}{2}y=38+7$

$\frac{5}{2}y=45$

$y=45(2)/5$

$y=18\ units$

<em>Find the value of x</em>

$x=\frac{y}{2}$ ---> $x=\frac{18}{2}=9\ units$

<em>Find the value of z</em>

$z=y-7$ ----> $z=18-7=11\ units$

therefore

The length of the sides are 9 units, 18 units and 11 units

4 0

2 years ago

The decimal equivalent of 10^-2 is

Vesna [10]

Answer:

Step-by-step explanation:

10^(-2) = 1/10^2 =1/100 = 0.01

8 0

3 years ago

(08.05)

Readme [11.4K]

The mistake is in step 3:

I: −2m =−12 − 2n
II: 2m = 8 + 8n

the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first

5 0

3 years ago

Please help me. That's all I ask for.

yarga [219]

Answer:

sorry I'm not in whatever grade your in

3 0

3 years ago

after a party, there are parts of three pizzas remaining. There is a 1/5 of a pepperoni pizza remaining, 3/8 of a cheese pizza r

Alona [7]

Answer:

2/5

Step-by-step explanation:

Multiply all the fraction

8 0

2 years ago