What is the solution set of the equation
x + 6 = 2(x + 3) - x?

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]            (1)

Where:

If we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:

A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]

A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)

A'(x, y) = (3, 6) + (3, - 3)

A'(x, y) = (6, 3)

B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]

B'(x, y) = (3, 6) + (- 1.5) · (0, 2)

B'(x, y) = (3, 6) + (0, - 3)

B'(x, y) = (3, 3)

C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]

C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)

C'(x, y) = (3, 6) + (3, - 6)

C'(x, y) = (6, 0)

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

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Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

Answer:

Step-by-step explanation:

-6 and up going left

As per linear equation, the number of people who bought ticket in advance is 2800.

"A linear equation is an equation in which the highest power of the variable is always 1."

Given, the number of people is 4000.

70% of the people bought ticket in advance.

Therefore, the number of people who bought ticket in advance is

[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]

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Answer:

The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4

Step-by-step explanation:

The given points son the line are; (10, 4), and (6, 3)

The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, the slope of the found line is given as follows;

(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)

[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4

Answer:

[tex] q = 2(t - 5) [/tex]

Step-by-step explanation:

[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]

hope this helps you.

Have a nice day!

Answer:

2 ( t - 5 ) = q

Step-by-step explanation:

subtract 5 from both side

multiply each side by 2.

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

21.5

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

Answer:

Hi, there your answer is C or D and the second page is C

Step-by-step explanation:

Answer:

X= 360- (180+35)

X= 145

Step-by-step explanation:

since angle at a point is same as angle in a circle =360°

And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point

0.28*53+7.50=22.34 dollars

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

Answer:

1/5, 0.63, 0.71, 0.78

Step-by-step explanation:

1/5 = 0.2

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

More to know about Algebraic Identities :-

Answer:

(5x + 7)2.

The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.

Thus, it can be factored as a perfect square trinomial.

Answer:

0.78

used a calculator

d = 17.3 m

Step-by-step explanation:

We can extend Pythagorean theorem to 3 dimensions by writing

[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]

or

[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]

Since we are dealing with a cube of side 10 m, then

x = y = z = 10 m

so we get

[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]

or

[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]

This becomes

d = 17.3 m

Answer:

x < -1/2

Step-by-step explanation:

x - 8 > 5x

-8 > 5x -x

-8 > 4x

Divide through by 8

-1/2 > x or x < -1/2.

That is ofcourse if I interpreted the first part correctly.

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

Answer:

$8,711.99

Step-by-step explanation:

The formula for calculating the compound interest in expressed as;

A =P(1+r/n)^nt

Principal P = $4000

r is the rate = 7.2% = 0.072

t is the time = 15years

n = 1/12

Substitute

A = 4000(1+0.072(1/12))^15/12

A = 4000(1+0.072(12))^1.25

A = 4000(1+0.864)^1.25

A = 4000(1.864)^1.25

A = 4000(2.1779)

A = 8,711.99

Hence the final investment after 15years is $8,711.99

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

Step-by-step explanation:

5x-6+7x+18=180

12x=180+6-18

12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

======================================================

Explanation:

The numbers up top are 1,1,1. They multiply to 1*1*1 = 1. So that means 1 is the numerator of the answer.

The numbers down below are 6,2,3. They multiply to 6*2*3 = 36. This is in the denominator for the answer.

That means (1/6)*(1/2)*(1/3) = 1/36

The rule I used is (a/b)*(c/d) = (a*c)/(b*d)

Answer:

1/36

Step-by-step explanation:

Step 1:

1/6 · 1/2 · 1/3       Equation

Step 2:

1/6 · 1/6          Multiply

Answer:

1/36

Hope This Helps :)

D.( 10 )^-4

This is the answer of your question

hope it is helpful to you

Answer:

0.98

Step-by-step explanation:

0.982,0.98()2 (round up if 5+ down 4-) 0.98

The number 0.982 rounded of to two decimal places will be 0.98.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.

Hence, the number 0.982 rounded of to two decimal places will be 0.98.

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