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alisha [4.7K]
3 years ago
13

Triangle FGH is dilated agout the origin make triangle F'G'H' as shown here. Which rule represents the dilation applied to trian

gle FGH to create triangle F'G'H'?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

Answer is J

Step-by-step explanation:

Count the height of each traingle and divide both of them, it's also going to be greater than 1X since the dialted image is larger than the original

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Graph the system of equations on graph paper to answer the question. Y=2/5x+4 and y=2x+12 what is the solution for this system o
riadik2000 [5.3K]

Answer:

Solution of the given equations is (-5,2)

Step-by-step explanation:

We have been given the following system of equations:

y = (2/5)x + 4

y = 2x + 12

The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.

As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)

6 0
3 years ago
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the
Otrada [13]

Answer:

Please check the explanation.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

substituting the values

A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}

A=300\cdot \frac{2.06}{2}

A=\frac{618}{2}

A=309 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

so substituting the values

A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}

A=300\cdot \frac{2.06^2}{2^2}

A=318.27 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

7 0
3 years ago
Write the common rule to describe the translation using coordinate notation.
UNO [17]

The common rule is (x - 1, y + 3) can be used to describe the translation.

Step-by-step explanation:

Step 1:

The point J (-3, -4) becomes J^{1} (-4, -1).

In order to write the rule for translation from J to J^{1}, we subtract the x coordinate of J from J^{1} and subtract the y coordinate of J from J^{1}.

The x coordinate = -4-(-3) = -4+3 = -1.

The y coordinate = -1-(-4) = -1+4 = 3.

Step 2:

So from the calculations, we get that the x coordinate is subtracted by 1 i.e. x-1 and the y coordinate is increased by 3 i.e. y+3.

So the common rule is (x - 1, y + 3).

4 0
3 years ago
He walks 7.5miles in 3 hours. What is his speed?
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73/30 is how fast he walked in 3 hours
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3 years ago
Anyone know the answer???
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The rate of change is 4. A linear model.
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4 years ago
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