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4 years ago

Factor completely.

Mathematics

1 answer:

SOVA2 [1]4 years ago

7 0

The answer is :

(x+5)(x+3)

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Rectangle QRST with vertices Q(-6,-1), R(-3,1), S(1,-5), and T(-2,-7)

guajiro [1.7K]

Answer:

7 916 34902883837373u2728

3 0

3 years ago

The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side leng

Scrat [10]

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

5 0

3 years ago

Reese is using a coin to predict the gender of the puppies born to her dog. According to Reese's model, which is the probability

anastassius [24]

Answer:

$\frac{1}{32}$

Step-by-step explanation:

According to Reese's model, let the head of the coin represent male, and the tail represents female. The outcome can either be a male or a female.

Total outcome = 2

pr(male) = $\frac{1}{2}$

pr(female) = $\frac{1}{2}$

Therefore the probability of male equals the probability of females i.e $\frac{1}{2}$ .

Therefore,

pr(a litter of 5 puppies will be males) = $\frac{1}{2}$ x $\frac{1}{2}$ x $\frac{1}{2}$ x $\frac{1}{2}$ x $\frac{1}{2}$

= $\frac{1}{32}$

According to Reese's model, the probability that a litter of 5 puppies will be males is $\frac{1}{32}$ .

6 0

3 years ago

Read 2 more answers

(4.8x10x7) + 6,500,000 what is the value of the expression

Fiesta28 [93]

Answer:

=(48*7) +65*10^5

=((40+8) *7) +65*10^5

=(280+56)+65*10^5

=336+65*10^5

=.336*10^3+65*10^5

=.00336*10^5+65*10^5

=(.00336+65) *10^5

=64.00336*10^5

4 0

4 years ago

What is the value of n?

makvit [3.9K]

Answer:

Step-by-step explanation:

5+n+4+7+n+8=360

24+2n=360

2n=360-24

2n=336

n=168

8 0

4 years ago