Vertex and axis of symmetry

Answer:

[tex]a = 9.4[/tex]

[tex]b = 12.0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the values of a and b

To solve for a, we consider the first triangle.

Using Pythagoras:

[tex]a^2 = 8^2 + 5^2[/tex]

[tex]a^2 = 64 + 25[/tex]

[tex]a^2 = 89[/tex]

Take square root of both sides

[tex]a = \sqrt{89[/tex]

[tex]a = 9.4[/tex] -- approximated

To solve for b, we consider the second triangle.

Using Pythagoras:

[tex]17^2 = 12^2 + b^2[/tex]

[tex]289 = 144 + b^2[/tex]

Collect Like Terms

[tex]b^2 = 289 - 144[/tex]

[tex]b^2 = 145[/tex]

Take square root of both sides

[tex]b = \sqrt{145[/tex]

[tex]b = 12.0[/tex] --- approximated

Answer:

1. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

2. yes it is possible.

3. 403.87

4. 1.5

Step-by-step explanation: hope this help

Answer:

.-.

Step-by-step explanation:

Answer:

258.3

Step-by-step explanation:

When you're multiplying a decimal with a factor of 10, you would move the decimal places to the right, which is dependant on how many zeros the number actually has.

100 has 2 zeros, yes?

100 x 2.583 is 258.3, as you would the decimal places 2 to the right, which results in the value being 258.3.

Hope this helped! :)

Answer:

The last one is the correct answer

Answer:

1/4x<5-1

1/4x<4

x<16

last one

Answer:D san fransisco

Step-by-step explanation:

563 pheonix

456.5 minot

693 san fran

Answer:

Answer:D san fransisco

Step-by-step explanation:

563 pheonix

456.5 minot

693 san fran

Answer:

Yukio will pay $2 per ounce for the confetti

Step-by-step explanation:

Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2

Answer:

C. Keith paid $0.25 less than Tony paid.

Step-by-step explanation:

can i has brainliest plz

Answer:

5

Step-by-step explanation:

1. Simplify 4³ to 64.

[tex] \frac{1}{2} (64 - 6 \times {3}^{2} )[/tex]

2. Simplify 3² to 9.

[tex] \frac{1}{2} (64 - 6 \times 9)[/tex]

3. simplify 6 × 8 to 54.

[tex] \frac{1}{2} (64 - 54)[/tex]

4. simplify 64 - 54 to 10

[tex] \frac{1}{2} \times 10[/tex]

5. simplify.

[tex] \frac{10}{2} [/tex]

6. simplify.

5

Therefor, the answer is 5

Step-by-step explanation:

Many Factories were converted into ammunition factorys and weapon factorys to support the war effort

Answer:

£1,001,258

Step-by-step explanation:

(75x4000)+(62x5350)+(49x7542)=£1,001,258

The total sales revenue of the tickets is required.

The total ticket sales revenue was [tex]\$1001258[/tex]

Number of $75 tickets sold = 4000

Number of $62 tickets sold = 5350

Number of $49 tickets sold = 7542

We multiply the number of tickets and the cost of tickets and add them.

[tex]4000\times 75+5350\times 62+7542\times49=\$1001258[/tex]

Learn more about algebra:

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Answer:

for the first one its: y=-3/4x+9

for the second one its: already done

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

You have to times 13 x 4 which is 52 so we have 52 + x now you times 13 times x which would be 13x now you would have the equation which is 52 + 13x now if you wanted to solve that you would do 13 divided by x and divide 52 by 13 which is 4 so x = 4 and now for commutative I dont know

The distributed form of the given expression is 52 + 13x. The equivalent expression by the cumulative property is 13(4 + x).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The commutative property of multiplication states that changing the order of factors has no effect on the product.

Given that the expression is 13(4+x).

The distributed form of the expression is,

13(4+x) = ( 13 x 4 ) + ( 13x)

13(4+x) = 52 + 13x

The equivalent expression by using the cumulative property is,

13(4 + x) = 13(x + 4)

To know more about an expression follow

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Answer:

5.8 inches

Step-by-step explanation:

Answer:

1) one hundred twenty million five hundred forty thousand

2) 2,040 (equation: 4(5 x 102))

3) 1,872

4) 9.25, 9.325, 9.5, 9.675

5) 18.4

6) 108 (equation: 3(21) + 3(15))

7) $0.95

8) $2.50

Step-by-step explanation:

this was long

Answer:

[tex]12 cm^{3}[/tex]

Step-by-step explanation:

=============================================================

Explanation:

Because we're given multiple choices to pick from, we can go through each to do trial and error.

For instance, if v = 52, then

v/13 < -7

52/13 < -7

4 < -7

but that's a false statement since 4 is not smaller than -7. Use a number line to see this. You should have -7 to the left of 4, showing that -7 is the smaller value.

Because 4 < -7 is false, this means v/13 < -7 is false when v = 52. This rules out v = 52. You should find that v = 26 and v = -39 won't work for similar reasons.

Only v = -130 works since...

v/13 < -7

-130/13 < -7

-10 < -7

This is true because -10 is to the left of -7 on the number line.

-------------------------------------------------

Another approach:

We have some unknown number v, and we're dividing by 13 to get the expression v/13. To undo this, we multiply both sides by 13

v/13 < -7

13*(v/13) < 13*(-7) .... multiply both sides by 13

v < -91

So any solution to the original inequality must be smaller than -91. This allows us to rule out v = 52, v = 26 and v = -39.

The value v = -130 is smaller than -91, so it satisfies v < -91. Therefore, v = -130 is a solution to the original inequality.

Answer    

-13.875

Step-by-step explanation: I’m is not 100%

The answer is 2/3

[2/3 is the coefficient as well as the constant.]

Answer:

nine twelfths

Step-by-step explanation:

nine twelfths is equivalent to three fourths.

Answer:

nine twelfths i think it is answer

Answer:my guy

Step-by-step explanation:

cant see the picture

Answer:8 miles

Step-by-step explanation:

If he’s traveling at 4 miles and hour and he traveling for two hours it would be 8 miles

Answer:

d. he'll go 8 miles in 2 hours

Answer:

514.1

Step-by-step explanation:

just subtract 15.90 from 530.00 and you will get 514.1

Answer:

........

4/12 ...simplify it if you wanna

Answer:

I would say if its less than $28 then probaly 16 kilowatts.

Step-by-step explanation: