Two times the difference of 13
and a number is -4. Write an
equation representing this
situation and solve for the
number.

Answer:

Options A and D are correct

Step-by-step explanation:

Here, we want to find the square root of the negative number;

x^2 = -64

x^2 = 64 * -1

x= √64 * √-1

Mathematically we can write the √-1 as i

X = √64 * i

Square root of 64 is plus or minus 8

so x = -8i or 8i

The solutions of an equation are the true values of the equation.

The expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

The equation is given as:

[tex]\mathbf{x^2 = -64}[/tex]

Take square roots of both sides

[tex]\mathbf{x = \pm\sqrt{-64}}[/tex]

Expand

[tex]\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}[/tex]

[tex]\mathbf{x = \pm(8 \times \sqrt{-1})}[/tex]

In complex numbers,

[tex]\mathbf{ \sqrt{-1} = i}[/tex]

So, we have:

[tex]\mathbf{x = \pm(8 \times i)}[/tex]

[tex]\mathbf{x = \pm8i}[/tex]

Split

[tex]\mathbf{x = 8i\ or -8i}[/tex]

So, the expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

Read more about expressions at:

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Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

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Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

Answer:

t=1/5d

Hope this helps! :)

Answer:

$25.97

Step-by-step explanation:

You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.

to get the price after markdown multiply $35.00 by 7/10 which equals $24.5

Multiply $24.5 by .06 to get the sales tax which is $1.47

So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97

The cost of Tyler's jacket is $23.03.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Tyler bought a jacket regularly priced $35.00.

With a 30% markdown, the cost of jacket is

30% of 35

= 30/100 ×35

= 0.3×35

= 10.5

So, the cost of jacket is 35-10.5=$24.5

Now, sales tax on $24.5

That is, 6% of $24.5

= 6/100 ×24.5

= 0.06×24.5

= 1.47

Cost of jacket is 24.5-1.47

= $23.03

Therefore, the cost of Tyler's jacket is $23.03.

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In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES

Answer:

1-4

2-5

3-6

4-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 - 8 = -3

-9 + 6 = -3

6 ÷ -2 = -3

1 × -3 = -3

You can check the calculator if you don't believe me!

Hope this helps! <3

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

Answer:

c) 300.9 ft²

Step-by-step explanation:

He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².

Hence:

1 bag of mulch = 70.8ft²

4 1/4 bags of mulch = x ft²

Cross Multiply

1 bag × x ft² = 4 1/4 × 70.8

x ft² = 4 1/4 × 70.8/1

x = 300.9 ft²

Option c is correct.

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

Answer:

F

Step-by-step explanation: c=0.10m+30

Plzz give me brainliest

Answer:

5^9

Step-by-step explanation:

125=5*5*5

125^3=125*125*125

125*125*125=3*(5*5*5)

the answer 5^9

The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.

The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.

It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,

[tex]n=125^3[/tex]

Rewrite the number with multiples of 125.

[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]

By the power rule, the above expression can be rewritten as,

[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]

Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.

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Answer:

5:8 is the ratio of cows to horses.

Answer:

No. the slope is -2/3

Step-by-step explanation:

Count the spaces from one point (-3, 1) to (0, -1)

1 -(-1) / -3 - 0

- 2/3

Answer:

The measure of ∠JKL is 65°

Step-by-step explanation:

Consider the provided diagram.

We need to find the degree measure of ∠JKL.

It is given that ∠JKM=45° and ∠MKL=x°

Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.

Thus ∠JKL=3x+5

From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL

This can be written as:

∠JKL = ∠JKM+∠MKL

Substitute the respective values in the above equation.

3x+5 = 45+x

Subtract x and 5 from both the sides.

3x+5-x-5 = 45+x-x-5

2x = 40

x = 20

Thus, the measure of ∠MKL=20°

Substitute the value of x in ∠JKL = 3x+5.

∠JKL = 3(20)+5

∠JKL = 60+5

∠JKL = 65

Hence, the measure of ∠JKL is 65°

Answer:

2/3

Step-by-step explanation:

I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.

I hope this helps!

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Answer:

s=W/F 2800J/700N=4m so the answer is 4m

Answer:

4.09

Step-by-step explanation:

just divide the given price by the hours

Answer:

x=2y+2

Step-by-step explanation:

Answer:

2y + 2 = x

Step-by-step explanation:

Treat is like a normal equation and solve with inverse operations:

2y + 4 = x + 2

    -2         -2

2y + 2 = x

Answer:

Step-by-step explanation:

If Kevin has 4 more points

than Carl, and then Tom has

2 fewer points than Carl, then Kevin

had 6 more points than all of Tom's points.

Hope this helps! <3

Answer:

Option d: 6x +1

Step-by-step explanation:

Given that, the cost of a ticket = t and

cost of a box of popcorn =  p.

Total members in the team = 13

As each team member buys 1 ticket and 2  boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]

So, the total amount that the team spent [tex]= 13C_1[/tex]

(a) So, the first expression, representing the total amount spent by the team, is

[tex]13\times (t+2p)\cdots(i)[/tex]

On simplification, the second expression, representing the total amount spent by the team, is

[tex]13\timest + 13\times (2p)[/tex]

[tex]=13t+26p\cdots(ii)[/tex]

(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn

Answer:

The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.

Hope you understood a little bit...have an amazing day C:

Answer:

2.44

Step-by-step explanation:

12 1/2 / 5 =2.44

Answer:

3v-v² = v(3-v)

Step-by-step explanation:

Use distributive property on the right side of the equality.