Is (2,10) a solution to this system of equations?

y = 4x + 2
y = x + 8

Yes or no

Answer:

She translated each vertex of Figure 1 seven units to the right.

Step-by-step explanation:

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

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

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Read more about dilation at:

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Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

base: 1/4 * 12^2 * √3 = 36√3

each face: 1/2 * 12 * 8 = 48

Now finish it off

Step-by-step explanations:

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

Answer: Below

Step-by-step explanation:

We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:

3 * 2 = 6

Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.

Sqrt(3.4^2 - 1^2) = 3.3

The equation for volume in a pyramid is (base*height)/3.

(3.3 * 6)/3 = 6.6

Our answers are:

1) 6

2) 3.3

3) 6.6

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

To learn more about the lateral area visit:

https://brainly.com/question/1297098

Answer:

13

Step-by-step explanation:

Answer:

3b + 24

Step-by-step explanation:

3*b=3b

3*8=24

therefore the answer is 3b+24

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.

ANSWER :

B .

y =(1 — 6 ) ×

or.

C .

y = (2) ×

HOPE IT HELPS .

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+r)^t[/tex]

Where:

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

Read more on interest here: brainly.com/question/24341207

Answer:

Step-by-step explanation:

Answer: 882pi square inches

Step-by-step explanation:

Answer:

10% of 210 is 21

Step-by-step explanation:

The 1 in 10% is much help. Move the decimal point one place to the right.

I know this is not much, but I hope this helps :)

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))

Answer:

sum up all the sizes and multiple it by 2

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.

I hope this helps!

Please mark brainliest!!

Answer:

23 feet

Step-by-step explanation:

The absolute value of -14 is fourteen.

The absolute value of 23 is twenty-three

23>14

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

+ 12 - 4 + 3 - 15

= 12 + 3 - 4 - 15

=     15   -   19

= - 4

Answer:

He has -4 points. if I'm not mistaken

Step-by-step explanation:

12 - 4 + 3 - 15 = -4

I apologize if I am incorrect

Answer:

6? i am soooo confused

Step-by-step explanation:

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]

Top: = base [tex]=20.25\pi[/tex]

cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]

Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]

Number of cans of paint:

[tex]c=\frac{579.6}{50} =11.59=12[/tex]

Hope this helps