The vertex form of the quadratic function f(x) = x² + 10x + 1 is f(x) = a(x - h)² + k.
What is the value of a? |
What is the value of h?
What is the value of k?

Answer:

D or 1/2

Step-by-step explanation:

If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

Answer:

n^2p

Step-by-step explanation:

Thats the answer

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

Answer:

− 9 + 1 7

Step-by-step explanation:

Hope this helps!

You need to get graphing paper

Answer:

This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

Step-by-step explanation:

To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.

To find slope we use M= Y1-Y2/X1-X2

Lets start with A and B

M=7-8/2-(-2)

so M= -1/4 for Line AB

Now lets find C and D

M=2-1/1-5

so M=-1/4 for line CD

So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

Answer:

width is 17

length is 25

Step-by-step explanation:

(x+9)(x+1) =[tex]x^{2}[/tex]  + 10x + 9 = 425

[tex]x^{2}[/tex]  + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x  cannot be -26

x = 16

so, (16 + 1) = 17

      (16 + 9) = 25

Answer:

150π cu. units

Step-by-step explanation:

V = Bh where B is the area of the circular base and h is the distance between the bases (height)

B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π

V =  25π(6) = 150π cu. units

Answer: V = 471 m^3

In terms of PI - V = 150 π m^3

Step-by-step explanation:

V = πr2h

V = 3.14(5)^2(6)

V = 3.14(25)(6)

V = 471 M^3

or  

V = 3.14 (25)(6)

V = 150 π m^3

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

Answer:

it can have any about 3 and up as long as it is a 2d shape and it has to have straight lines

Answer:

They all vary. All a polygon needs is straight sides, two dimensions, and equal length sides.

Step-by-step explanation:

Hope this helps!

Answer:

52 degrees apart

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-2^4-5(5)+2(-2-3)^2

16-25+2(25)

16-25+50

41

Answer:

step 2 he divded the 8 by 2

Step-by-step explanation:

There IS a mistake

8+2 is 10

so 10+3 is equal to 13

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒  [tex]A_s=2 \pi r(h+r)[/tex]

On substituting the values, we get

⇒       [tex]=2\times 3.14\times 3(4+3)[/tex]

⇒       [tex]=18.84\times 7[/tex]

⇒       [tex]=131.88[/tex]

Answer:

If you catch me at the border I got visas in my name

If you come around here, I make 'em all day

I get one done in a second if you wait

Step-by-step explanation:

Step-by-step explanation:

To Find :-

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

Answer:

4.55 hours (rounded to the nearest tenth)

Step-by-step explanation:

If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.

Answer:

27

Step-by-step explanation:

bc m1=31 and m2=29 you subtract 31-29and it is 27

Answer:

Step-by-step explanation:

Answer:

sorryyyyy i really dont know

Answer:

64 cm²

Step-by-step explanation:

(12*4.5)+(2*5)= 54+10=64

Answer:

last year 8 boys 12 girls and this year 10 boys 15 girls

Step-by-step explanation:

ratio = 4:6

total ratio = 6 +4 =10

last year

ratio 1 = 20 ÷ 10 = 2

boys = 2 × 4 = 8

girl = 2 × 6 = 12

this year

ratio 1 = 25 ÷ 10 = 2.5

boys = 2.5 × 4= 10

girls = 2.5 × 6 = 15

Answer:

sqrt(10)

Step-by-step explanation:

sqrt(160)/16

sqrt(16)sqrt(10)/sqrt(16)

4sqrt(10)/4

sqrt(10)

Answer:

First one: x = all real numbers

Second one: x = 0

Step-by-step explanation:

for the first one

given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations

step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )

2 * 4x = 8x

5 * 2 = 10

now we have 8x + 10 = 8x + 10

step 2 subtract 8x from each side

8x - 8x = 0

8x - 8x = 0

now we have 10 = 10

subtract 10 from each side

10 - 10 = 0

10 - 10 = 0

we're left with 0 = 0 meaning that all real numbers are solutions

For the second one

given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations

step 1 distribute the 2 to what is in the parenthesis (x - 4)

2 *x = 2x

2 * -4 = -8

now we have 3x - 8 = 2x - 8

step 2 add 8 to each side

-8 + 8 = 0

-8 + 8 = 0

now we have 2x = 3x

step 3 subtract 2x from each side

3x - 2x = x

2x - 2x = 0

we're left with x = 0

Answer:

table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6

Step-by-step explanation: