Given the equation , then m =

[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]

Answer:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Step-by-step explanation:

Replace the questions marks with letters:

[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]

[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

Taking the second term and calculating the coefficient of the denominator:

[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]

[tex]\implies \dfrac{-18}{c}=3[/tex]

[tex]\implies c=\dfrac{-18}{3}=-6[/tex]

Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:

[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]

[tex]\implies e=\dfrac{12}{-6}=-2[/tex]

Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:

[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]

[tex]\implies 6-d=1\implies d=5[/tex]

[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]

Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::

[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]

[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]

[tex]\implies a-5=11 \implies a=16[/tex]

Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:

[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]

[tex]\implies f=8-5=3[/tex]

Substituting all found letters:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Answer:

B. 0.000096 (4 zeroes after the decimal point because 10^4)

Step-by-step explanation:

0.96 / 10^4 = 0.000096

when dividing, the decimal moved left and you must add zeroes!

Answer:

Step-by-step explanation:

Change a=2b to y=2x.

a/y = # of shirts Wanda has
b/x = # of shirts Will has.

Will has double the amount Wanda has each time.

Answer:

$2,552

Step-by-step explanation:

Here you will need a calculator or a paper and pencil. The easiest way to do this is to find the perimeter

So we got a rectange

                  38 Feet

                   _____

                   l         l

   20 Feet   l         l  20 Feet

                   l____l

               38 Feet

Next you need to add all of the sides together to get 100 Feet. Finally you just multiply the cost per foot by 116 to get the total cost of 2,552

Answer:

12

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

l,w,h  are all = 4 in

sa = 4x4 * 6 = 96 in^2

Answer:

A. (12= 6) + 7 = 12

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 (4) + 2 = 18

16 + 2 = 18

18 = 18

Answer:

Step-by-step explanation:

1:

Solve 4(1) + 2 = 18:

1 is false.

2:

Solve 4(2) + 2 = 18

2 is false.

3:

Solve 4(3) + 2 = 18

3 is false.

4:

Solve 4(4) + 2 = 18

4 is true.

Correct answer is 4.

Answer:

60m2

Step-by-step explanation:

Answer:

  (d)  68 m²

Step-by-step explanation:

The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.

__

  A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h

  A = 1/2(12 m +5 m)(4 m) = 34 m²

The area of the hexagon is double this:

  hexagon area = 2 × 34 m² = 68 m².

Answer:          Double= 314m2

AStep-by-step explanation:

Answer:

-14 - 11i

Step-by-step explanation:

You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.

(-14 + 3i) - (14i)

= -14 + 3i - 14i

Combine the i's

= -14 - 11i

That's it. The -14 is the a, and the -11 is the b in a+bi.

If necessary to fill in a computer answer that is already formatted with a plus, like:

_ + _i

then use -14 for a and -11 for b.

Answer:

1) 3 weeks

2) $60

3) 6 weeks

4) $50

5) No, because they are already saving at the same rate, so if they continue to do so, their amounts will never meet. This is also because the lines in the graph are parallel, and parallel lines never meet.

Answer:

3060 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the cross-sectional area first of the trapezium

[tex]\frac{1}{2} (a+b)h[/tex]

So,  [tex]\frac{1}{2}(6+34)15[/tex]

which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]

Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]

Find the Area of the Rectangles

The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]

The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]

The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]

The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]

So by combining all these calculations, you will get the total surface area which is:

600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]

Answer:

48, 55, 73

Step-by-step explanation:

A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true

A common example is 3, 4, 5 because

[tex]3^{2} +4^{2} =5^{2}[/tex]

So here, you want to plug in the 8 for the x in the equation and 3 for the y

Then, what you are looking for is when the equation looks like

[tex]a^{2} + b^{2} = c^{2}[/tex]

So:

[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]

Simplify:

[tex]73^{2} = 55^{2} + 48^{2}[/tex]

We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48

So the triple is 48, 55, and 73

Answer:

48,55,73

Step-by-step explanation:

Answer:

5.6 x [tex]10^{4}[/tex]

Step-by-step explanation:

7 x 8 = 56

[tex]10^{-2}[/tex] x [tex]10^{5}[/tex] = [tex]10^{3}[/tex]

56 x [tex]10^{3}[/tex]

5.6 x [tex]10^{4}[/tex]

Answer:

The answer is

[tex]5.6 x 10^{4}[/tex]

Answer:

See below ~

Step-by-step explanation:

Question 1

2/3 _ 7/12

Question 2

5/8 _ 3/6

#1

The sign should be

#2

So

Answer:

Step-by-step explanation:

The volume formula

Given

Find the volume by substituting the values into formula

Area of base=8.15cm²

Volume

Answer:

x=4

y=3

Step-by-step explanation:

substitute into one of the equations

9x+17=x+49

x=4

y=4+49

y=53

The values of a through e that make these two relations inverses of each other. a = b = c = d = e = are:

This refers to the function of a function f that undoes the operation of f. The inverse of f exists if and only if f is bijective. It is also known as reciprocals.

Now, if we assume that y = g(x) and y = h(x) are inverse of each other, where g(x) and h(x) are two different functions.

Then if a = g(b) then b = h(a).

Now, in the given table from the complete question, we would have

a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0 as the values of the function in inverse.

Read more about inverses here:
https://brainly.com/question/14379760

Answer:

A.11

Step-by-step explanation:

5×5+6-4*（2+3）=25+6-4*5=11

Answer: 4

Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.

Answer:

please see the photo above for detailed analysis.

Answer:

yes

Step-by-step explanation:

Could not simplify further

Answer:

No, it's not a perfect square.

Step-by-step explanation:

First of all a perfact square should never end with 2, 3, 7 or 8, if it does than its not a perfect square.

103 ends with "3", so therefore, it's not a perfect square.

Answer:

1 4/8 or 1 1/2

Step-by-step explanation:

1 whole of a pizza is 8/8 and then add 4 slices left from the 12 slices,

so they sold 1 1/2 pizza

Answer:

x > 20/7

good luck on your test <3

Answer:

well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter