5x+4y=-14 3x+6y=6
Linear Combination Method

Answer:

15m

Step-by-step explanation:

You need to do the Pythagorean Theorem:

a^2 + b^2 = c^2

*(The ^ is meaning to a power or squared in this case)*

You are solving for c which is the hypothenuse!

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2  *(The opposite of squaring something is the square root)*

c= The square root of 225

That shall be simplified to 15

According to Pythagoras theorem

Base² + perpendicular ² = Hypotenuse ²

12² + 9² = H²

144 + 81 = H²

225 = H²

H = √225

H = 15

Hypotenuse = 15m

HOPE IT HELPS :)

Answer:

20 mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?

x = hours she babysat

Equation:

15x = 5

Divide to isolate x:

15x = 5

/15   /15

x = 1/3 hrs.

Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15

We know that there are 60 mins. in an hour

60 * 1/3

60/3

20 mins.

Therefore, the babysitter was there for 20 mins.

Hope this helps!

Answer:

-3+i

Step-by-step explanation:

Collect like terms

-2-1=-3

+3i-2i=i

-3+i

Answer:

64/7

Step-by-step explanation:

Pattern = Multiplying by -4

-16/7 x -4/1

64/7

Answer:

See answer and step-by-step attachment.

Step-by-step explanation:

See attachment.

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

The value of sin 45° is,

⇒ sin 45° = 1/√2

We have to given that,

A triangle is shown in image.

We know that,

sin x = Opposite / Hypotenuse

Now, By given triangle,

sin 45° = 1/√2

Therefore, The value of sin 45° is,

⇒ sin 45° = 1/√2

Learn more about the triangle visit;

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#SPJ7

Answer:

Step-by-step explanation:

You have to use a distributive property.

Distributive property:

→ A(B+C)=AB+AC

⇒ (a+16)2

→ 2(a+16)

Multiply.

⇒ 2*a=2a

→ 2*16=32

Rewrite the problem down.

⇒ 2a+32

I hope this helps you! Let me know if my answer is wrong or not.

Hi!

Given:

[tex](a+16)2[/tex]

See the 2 out in front of the parentheses? Using the distributive property, we need to multiply that 2 by each of the terms inside of the parentheses. See the attached image below for more information.

So:

[tex]2*a+16*2[/tex]

[tex]2a+32[/tex]

Therefore, your answer is 2a + 32

Explanation:

The various theorems involved include ...

For the purpose here, we wll use the notation D.1 to refer to the angle labeled "1" at vertex D.

The argument goes something like the following.

__

∠D.1 +∠R +∠S.1 = 180° . . . . angle sum theorem

∠S.1 +∠S.2 +∠S.3 +∠S.4 = 180° . . . . angle addition postulate (∠RSW is a straight angle, equal to 180°)

∠D.1 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitution property

∠D.1 = ∠S.2 . . . . alternate interior angles theorem

∠S.2 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitute for ∠D.1

∠R = ∠S.3 +∠S.4 . . . . subtraction property (subtract ∠S.1 +∠S.2)

∠R = ∠S.3 +∠S.2 . . . . substitute ∠S.2 for equal ∠S.4 (given)

∠R = arc DS/2 . . . . inscribed angle is half the arc measure

∠TSD = ∠S.2 +∠S.3 = arc DS/2 . . . . substitution, angle addition, angle naming

TS is tangent at S . . . . converse of "inscribed angle alternate" where the vertex of an inscribed angle is a point of tangency

_____

Additional comment

The alternate to the inscribed angle theorem says the angle is half the measure of the intercepted arc even as the vertex of the inscribed angle becomes a point of tangency (one ray of the angle is a tangent, so a zero-length chord). The converse of this says the vertex is a point of tangency if the intercepted arc is twice the measure of the angle, as in this problem.

Answer:

1500-325

=1125

Step-by-step explanation:

1500 minutes minus 325 minutes is equal to 1125 minutes remaining

hmmm so let's see first how much is 10% of the earnings of 1470.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147[/tex]

so then

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]

[tex]A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}[/tex]

Answer:

8

Step-by-step explanation:

area of a triangle= b x h x 1/2 or b x h /2

the base is 4 and the height is 4

4x4/2

=16/2

=8

The two plans charge the same amount in 11 months.

The plan I would recommend if the plans are contracted for two months is the Fidoll plan.

The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x

Where x represents the number of months

The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll  is : $363 + $94x

Where x represents the number of months

The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x

Combine similar terms

$363 = $127x - $94x

Add similar terms

$363 = $33x

Divide both sides by 33

x = 11 months

Rongers: $127(24) = $3,048

Fidoll = $363 + $94(24) = $2619

I would recommend the Fidoll plan

To learn more about cost, please check: https://brainly.com/question/25879561

Answer:

15 different ways you can select 2 of 6 brands of orange juice

Step-by-step explanation:

Brand 1

Brand 2

Brand 3

Brand 4

Brand 5

Brand 6

1. (B1, B2)

2. (B1, B3)

3. (B1, B4)

4. (B1, B5)

5. (B1, B6)

6. (B2, B3)

7. (B2, B4)

8. (B2, B5)

9. (B2, B6)

10. (B3, B4)

11. (B3, B5)

12. (B3, B6)

13. (B4, B5)

14. (B4, B6)

15. (B5, B6)

Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.

Hence, the value of the car in 4 years is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(4) = 13850(0.9)^4[/tex]

A(4) =  9087.

More can be learned about exponential functions at https://brainly.com/question/25537936

1 to 4 2 stays 3 to 1 4 to 3

Step-by-step explanation:

Answer:

Choice B.

19/ 20

Step-by-step explanation:

This is because there are 26 letters in the alphabet, 19 of which are non-vowels.

Answer:

21/26

Step-by-step explanation:

because there are 26 letter in the alphabet

and there are 5 vowels

so 26 - 5 = 21

21/26

Answer:

95% of 28 is 26.6

Step-by-step explanation:

28 * 0.95 = 26.6

Answer:

HOPE IT HELPS!

MARK AS BRAINLIAST.

that is the complete answer to the question

Answer:

10

Step-by-step explanation:

Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2

---> 10

Answer:

D

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.

(b/2) ² = (-8)²

Add the term to each side of the equation.

x² - 16x + (-8)² = 23 + (-8)²

Simplify the equation.

Raise -8 to the power of 2.

x² - 16x + 64 = 23 + (-8)²

Simplify 23 - (-8)²

Raise - 8 to the power of 2.

x² - 16x + 64 = 23 + 64

Add 23 and 64

x² - 16x + 64 = 87

Factor the perfect trinomial square into (x-8)²

(x-8)²=87

Solve the equation for x.

Take the square root of each side of the equation to set up the solution for x.

(x-8)²*¹/₂ = ±√87

Remove the perfect root factor x-8 under the radical to solve for x.

x - 8 = ±√87

Remove parentheses.

x - 8 = ±√87

Add 8 to both sides of the equation.

x = ±√87 + 8

The result can be shown in multiple forms.

Exact Form:

x = ±√87 + 8

Decimal Form:

x=17.32737905…,−1.32737905…

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 15 cm

Slant height (l) = 13 cm

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 15 * 13

Evaluate the product

L = 292.5

This is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 292.5 + 0.25√3 * 12^2

Evaluate

T = 354.85

Hence, the total surface area is 354.85 square cm

Read more about areas at:

https://brainly.com/question/24487155

Step-by-step explanation:

that is totally simple.

the area of a parallelogram is

baseline × height

basically the same as for a rectangle, just that in this more general form the height is no longer the other side.

in our case here

18×13 = 234 cm²

Answer: 63 questions

Step-by-step explanation: to find 75% of 84, multiply 84 by .75

Answer:

y=mx

Step-by-step explanation:

I actually dont know if this is wrong I am terribly sorry I just went off of my notes.

Answer:

She needs 40.4 feet of wood.

Step-by-step explanation:

➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2

= 49.6feet.

➾She needs total 90feet. of wood and she had already 49.6 feet of wood.

So, now wood she needed = 90-49.6

= 40.4feet.

____________________________

Hope it helps you:)

Answer:

She needs 40.4 feet of wood

Step-by-step explanation:

Given :-

To find:-

Solution:-

Amount of wood she needs more :-

Wood she wanted to complete project — Wood she already have

by putting the value ,

90 feet — 8 × 6.2 feet

= 40.4 feet

Answer:

Mean Absolute Deviation (MAD): 3

Step-by-step explanation: