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3 years ago

X^2+_x+36 What is the Perfect Square Trinomials?

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

Step-by-step explanation:

hello,

$36=6*6=6^2$

and

$(x+6)^2=x^2+12x+36$

so the missing term is 12 to get a perfect square trinomial

hope this helps

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Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

posledela

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

7 0

3 years ago

Please help..click on picture...I rrally need help

Alekssandra [29.7K]

So the students are on 5:6 ratio from volleyball to football, and we know there are 220 students in total.

$\bf \cfrac{volleyball}{football}\qquad 5:6\qquad \cfrac{5}{6}\implies \cfrac{5\cdot \frac{220}{5+6}}{6\cdot \frac{220}{5+6}}\implies \cfrac{5\cdot 20}{6\cdot 20}\implies \cfrac{100}{\stackrel{football}{120}}$

8 0

3 years ago

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (5 points)

Margaret [11]

Answer:

A) y=2(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-0)/(2-(-2))

m=8/(2+2)

m=8/4

m=2

y-y1=m(x-x1)

y-0=2(x-(-2))

y=2(x+2)

y=2x+4

6 0

2 years ago

A box contains 20 lightbulbs, of which 5 are defective. If 4 lightbulbs are picked from the box randomly, the probability that a

madam [21]

Answer:

Option D. 938/969

Step-by-step explanation:

At most 2 defective means 2 or less than 2 bulbs are defective

So, we have 3 cases:

a) No defective bulb. b) 1 defective bulb. c) 2 defective bulbs

Case a) No defective bulb

Total number of bulbs = 20

Number of defective bulbs = 5

Number of non-defective bulbs = 15

Total number of ways to select 0 defective bulb = 15C4 = 1365

Case b) 1 defective bulb

Total number of ways to select 1 defective bulb = 15C3 x 5C1 = 2275

Case c) 2 defective bulbs

Total number of ways to select 2 defective bulbs = 15C2 x 5C2 = 1050

Therefore, total number of ways to select at most 2 defective bulbs = 1365 + 2275 + 1050 = 4690

Total number of ways to select 4 bulbs from 20 = 20C4 = 4845

Therefore, probability of selecting at most 2 defective bulbs = $\frac{4690}{4845}=\frac{938}{969}$

Therefore, option D gives the correct answer.

6 0

3 years ago

Determine the type of solution for the equation. <br> -4x - 7 + 4x - 12 =90

Alika [10]

I hope this helps you

3 0

3 years ago