In equilateral triangles STU:

Answer:

A

Step-by-step explanation:

-3(x-p)2+g=0

-3x2+12x=10

-3(x2-4x)=10

-3(x2-4x+4)=10+12

x2-4x+4 = (x-2)2

-3(x-2)2=22

-3(x-2)2-22=0

q = -22

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

40 divided by 8 = 5

5 x 6 = 30

hope this helps!

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day

Answer:

15.4z-12

Step-by-step explanation:

Answer:

The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Step-by-step explanation:

Given

Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]

Factor: [tex]x + 2[/tex]

Required

Find other factors

[tex]x^4 + 2x^3 - 8x - 16[/tex]

Group into two

[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]

Factorize:

[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]

Factor out common term

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]

Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]

Rearrange the terms

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]

Factorize

[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]

Factor out [tex](x^2+2x+4)[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]

So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Answer:

16.9659

Step-by-step explanation:

you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

[tex]3x^2-11x+10[/tex]

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

[tex](x-2)[/tex]

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.

Answer

GCF is 1 and the x is

Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.

If we decrease £220 by 15% then it would be £187

"It is a number or ratio that can be expressed as a fraction of 100."

x percent of number p is,

x% of p = p × (x/100)

For given example,

We need to decrease £220 by 15%

First we find the 15 percent of £220

15 percent of £220 is,

⇒15% of £220 = 220 × (15/100)

⇒15% of £220 = 220 × 0.15

⇒15% of £220 = £33

Now, we decrease £220 by 15%,

£220 - £33 = £187

Therefore, if we decrease £220 by 15% then it would be £187

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Answer:

50.6x + 75.9

Step-by-step explanation:

25.3(2x+3) = 50.6x+75.9

Answer: 12

Step-by-step explanation: 42/7 = 6 and you get 2 free passes so 6 x 2 = 12

Answer:

67.3684% or 67%

Step-by-step explanation:

percent increase = 100 X (final amount-initial amount)/(initial amount)

so

percent increase = 100 X (159-95)/95

159 - 95 = 64

64/95 = 0.6736842105263158

0.6736842105263158 X 100 = 67.36842105263158

Answer:

67% increase

159 is 167% of 95, which means this is a 67% increase.

Answer:

Step-by-step explanation:

Volume of the pyramid:

Volume of the prism:

Since all dimensions remain as is, the volume of the prism is:

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

Answer:

C

Step-by-step explanation:

Because the quadruple x is equal to 9

Answer:

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]\frac{x^2 + ax - 4}{x + 2} + \frac{x + b}{x + 2} = x + 1[/tex] --- missing from the question

Required

Find a and b

Take LCM

[tex]\frac{x^2 + ax - 4+x + b}{x + 2} = x + 1[/tex]

Cross Multiply

[tex]x^2 + ax - 4+x + b = (x+2)*(x + 1)[/tex]

Open brackets

[tex]x^2 + ax - 4+x + b = x^2+2x + x + 2[/tex]

[tex]x^2 + ax - 4+x + b = x^2+3x + 2[/tex]

Collect Like Terms

[tex]x^2 + ax +x + b- 4 = x^2+3x + 2[/tex]

[tex]x^2 + (a +1)x + b- 4 = x^2+3x + 2[/tex]

By comparing the coefficients:

[tex]a + 1 = 3[/tex]

[tex]a = 3 - 1[/tex]

[tex]a = 2[/tex]

[tex]b - 4 = 2[/tex]

[tex]b = 4[/tex]

Hence,

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Answer:

a = 2

b = 6

Edg 2021

Answer:

10x + 14

Step-by-step explanation:

begin by distributing the numbers outside of your parentheses:

4x + 4(6)    +     6x - 2(5)

4x + 24 + 6x -10

then just combine like terms:

4x + 6x      +      24 - 10

10x + 14

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

Answer:

(35 - 4)/2 = w and 15.5kg

Step-by-step explanation:

To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg

Answer:

(-1,4)

Step-by-step explanation:

Point B in the pre-image is at (-1,4).

If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:

Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:

Finally, a rotation by 180 degrees will give the coordinates of B' as:

The point B' will lie in (-1, 4) [ the same place as B].

The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.

Given:

The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]B(-1,4)\to B_1(-1,-4)[/tex]

If a figure reflected over y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]

[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]

If a figure rotated 180 degrees about the origin, then

[tex](x,y)\to (-x,-y)[/tex]

[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]

[tex]B_2(1,-4)\to B'(-1,4)[/tex]

So, the coordinates of point B' are [tex](-1,4)[/tex].

Therefore, the first option is correct.

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Answer:

It does satisfy the equation y=x+2

Step-by-step explanation:

To find if it satisfy the equation y=x+2 is by subsituting x with -84 and y with -82

-82=-84+2

2-84= -82

-82=-82 which is true so it satisfy the equation

Answer:

5,809 m^2

Step-by-step explanation:

50/2=25 m

25^2 times 3.14=1,962.5 m^2

70/2=35 m

35^2 times 3.14=3,846.5 m^2

1,962.5+3,846.5=5,809 m^2

Answer:

0.22 or 22 cents

Step-by-step explanation:

4.63 (original bread price) - 1.55 (coupon) = 3.08

divided by 14 slices of bread is 22 cents

Answer:

$0.22 per slice

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Apply the coupon to the loaf of bread first. $1.55 off a loaf of bread means subtracting this amount from the original price of bread.

If the loaf is cut into 14 slices, we should divide the loaf of bread's new price by 14.

The price per slice if Ellen uses her coupon is $0.22 per slice.

Thank you L for helping me w/ this question :)

Answer:

A

Step-by-step explanation:

Answer:

59 m

Step-by-step explanation:

16 + 15 + 13 + 15 = 59

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 36π

r³ = 27

r = ∛27 = 3 ft³

surface area of sphere = 4πr² = 36π ft²

Answer:

300

Step-by-step explanation:

5 times 6 is 30. 30 times 10 is 300. l times w times height. So 300 is the answer

Answer:

300

Step-by-step explanation:

The formula is length x width x height

So it would be 5 x 6 x 10 which equals 300! :)

Answer:

Step-by-step explanation:

Use triangle inequality theorem, which states

"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

The sum of two sides compared to the remaining side:

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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