MATHEMATICS HIGH SCHOOL

What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ?
A . 36
B . 36
C . 72
D . 144

Answers

Answer 1

Answer: The answer is 36 like (x+6)(x+6)

Answer

g(x) = (x + 5^)2

Explanation

Remember that:

- The translation $f(x+b)$ shifts the function $b$ units to the left

- The translation $f(x-b)$ shifts the function $b$ units to the right

We can infer from our vertices, that the vertex of g(x) is the vertex of f(x) shifted 2 units to the right. Since $f(x-b)$ shifts the function $b$ units to the right, we just need to subtract 2 units from f(x) = (x + 7)^2 to find g(x):

$g(x)=(x+7-2)^2$

$g(x)=(x+5)^2$

Answer:

The answer is B.

Step-by-step explanation:

I took the test

One of diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50 cm, and the length of one side is 1 cm longer than the length of the other?

Answers

The length of that altitude is 5 cm.

Explanation

According to the below diagram, $ABCD$ is a parallelogram with diagonal $\overline{AC}$ as its altitude.

Suppose, the length of side $\overline{AB}$ is $x$ cm.

As the length of one side is 1 cm longer than the length of the other, so the length of side $\overline{BC}$ will be: $(x+1) cm$

Given that, the perimeter of the parallelogram is 50 cm. So, the equation will be.....

$2[x+(x+1)]=50\n \n 2(2x+1)=50\n \n 4x+2=50\n \n 4x=48\n \n x= 12$

So, the length of $\overline{AB}$ is 12 cm and the length of $\overline{BC}$ is (12+1)= 13 cm.

Suppose, the length of the altitude( $\overline{AC}$ ) is $h$ cm.

Now, in right angle triangle $ABC$ , using Pythagorean theorem....

$(AC)^2+(AB)^2= (BC)^2\n \n h^2+(12)^2= (13)^2\n \n h^2+144= 169\n \n h^2= 25\n \n h= √(25)= 5$

So, the length of that altitude is 5 cm.

If 75 pairs of jeans are sold, what is the company’s profit?

Answers

Revenue: 2x² + 17x - 175
Cost: 2x² - 3x - 125
Profit: 20x - 50

Profit = Revenue - Cost
Profit = 2x² + 17x - 175 - (2x² - 3x - 125)
Profit = 2x² - 2x² + 17x + 3x - 175 + 125
Profit = 20x - 50

x = 75

profit = 20(75) - 50
profit = 1500 - 50
profit = 1450

Answer:

1450

Step-by-step explanation:

Find both unit rates.$8.40 for 8 ice-cream cones

A.
$0.95 per cone and 1.05 cones per dollar

B.
$1.05 per cone and 0.95 cones per dollar

C.
$2.10 per cone and 1.9 cones per dollar

D.
$1.90 per cone and 2.1 cones per dollar