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Sholpan [36]
3 years ago
15

Under a dilation of scale factor 3 with the center at the origin, if C (6,9), what will be the coordinates of the point C'?

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0
C'=(6\cdot3,9\cdot3)\\
C'=(18,27)
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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

3 0
2 years ago
URGENT! Please help me with this question!!!!!
Artist 52 [7]

Answer:

\boxed{GJ = 76 \ degrees}

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = \frac{1}{2} (BD+GJ)

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = \frac{1}{2} (24+GJ)

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

7 0
3 years ago
The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.
dimulka [17.4K]
Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

2y-9+y=9
3y-9=9
3y=18
y=6

We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
x=12-9
x=3

Just to check, we will plug these two numbers into the first equation.


3+6=9
9=9

Our two numbers are three and six.

I hope this helps!
7 0
3 years ago
An inequality for y greater than or equal to 4
zalisa [80]
The inequality statement, “An inequality for y greater than or equal to 4” can be written as:

y ≥ 4

Please mark my answers as the Brainliest if you find my explanations helpful :)
3 0
3 years ago
Read 2 more answers
(9^8/17^6)^4<br> This is something from study island
jeka94

I hate study island lol and are those supposed to be powers? Like 3 to the power of 8

8 0
3 years ago
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