How do I factor y^2-16

Answers

Answer 1

Answer: this is a difference of 2 perfect square so if we have
a^2+b^2=(a-b)(a+b)
16=4^2
y^2-4^2=(y-4)(y+4)

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4x -9y= -42x+5y=4Solve by elimination

Find the quotient. (5x^4 - 3x^2 + 4) ÷ (x+1)

Answers

Answer:

The first one: 5x^3 -5x^2 +2x -2 + 6/x+1

Step-by-step explanation:

the regular price of a new washer and dryer is 975 and the sales price is 850. find the percent of decrease to the nearest whole percent

Answers

It decreased 125, and 125 of 975 is roughly 13%, so the percent of decrease rounded to the nearest whole percent would be 13%.

125 of 975 is 13%, the percent of the decrease rounded to the nearest whole percent is 13%.

Help!!! I don’t get this :(

Answers

You have to use distributive property. Multiply the numbers outside of the parenthesis by the numbers inside. For example, you would multiply 0.4 by 2x first, then multiply it by 1/2. You should get two answers. Write them down in this form: first answer + second answer. Then do the same for the other side of the equal sign, but leave the - 4 alone. If you need more help, let me know

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

Answers

Side of the triangle is given as :- 32.63 cm

Angle formed by hypotenous and one side of triangle = 30°

We can solve this question by using cos30°

So,
$= > cos30 = (32.63)/(hypotenuse) \n \n = > hypotenuse = (32.63)/( 0.866 ) \n \n = > hypotenuse = 37.679 \: \: \: \: (ans)$

The hypotenuse would be equal to roughly 37.67 centimeters.

In order to find this we use the cosine function and the adjacent side length. Then my cross multiplying and solving, we can get the answer.

$Cos( \alpha) = (ADJ)/(HYP)$

$Cos( 30) = (32.63)/(HYP)$

.866(HYP) = 32.63

HYP = 37.67

a map distance of 5 inches represents 200 miles of actual distance. suppose the distance between two cities on the map is 7 inches. what is the actual distance between the two cities? write the rule you used to find the actual distance

Answers

Set up a proportion:

5/200 = 7/x

Cross multiply:

200 * 7 = 5 * x

1400 = 5x

Divide 5 to both sides:

x = 280

CAN ANYBODY HELP ME WITH THIS ONE TOO!!!!

Answers

Answer: K

Step-by-step explanation:

Compare the equations of: h = -t² + 4t + 5 and h = -t² + 4t + 12

h = -t² + 4t + 5:

c-value is 5
⇒ h-intercept is 5

intercept form: h = -(t + 1)(t - 5)
⇒ intercepts are t = -1 and t = 5

vertex form: h = -(x - 2)² + 9
⇒ vertex is (2, 9)
⇒ maximum value of h is 9

h = -t² + 4t + 12:

c-value is 12
⇒ h-intercept is 12

intercept form: h = -(t + 2)(t - 6)
⇒ intercepts are t = -2 and t = 6

vertex form: h = -(x - 2)² + 16
⇒ vertex is (2, 16)
⇒ maximum value of h is 16

The only value that changed between these two equations is "c", however the h-intercepts, maximum values, and t-intercepts are all different.

This is because the c-value shifted the entire parabola up. Shifting the parabola up or down will affect the intercepts and the maximum value of the vertex.

Answer:

I only

Step-by-step explanation:

given h = - at² + bt + c

the vertex = - $(b)/(2a)$

Thus altering a or b effects the position of the vertex

and the maximum value is the value of the vertex

Altering c effects the h-intercept only

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Please rewrite each fraction in at least two different waysa)11/2 b)3/8 c)10/7

Answer the following