Point c is located at (5, 7) and is reflected in the x-axis. what are the coordinates of point c'? (-5, 7) (5, -7) (-5, -7) (5, 7)

Answers

Answer 1

Answer:

Final Answer:

Point C's reflection across the x-axis yields coordinates (5, -7). The x-coordinate remains unchanged, while the y-coordinate changes sign, showcasing a fundamental concept in coordinate geometry.

Explanation:

This reflection can be understood as a transformation in which each point on the original figure is flipped over the x-axis to its corresponding point on the reflected figure.

The x-coordinate remains the same because it measures the horizontal distance from the y-axis, which does not change during a reflection across the x-axis. However, the y-coordinate changes sign, as it represents the vertical distance above or below the x-axis.

In summary, to find the coordinates of the reflected point, we change the sign of the y-coordinate of the original point while keeping the x-coordinate unchanged. Thus, the reflected coordinates of point C across the x-axis are (5, -7).

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If y=2 when x=3. What is the value of y when x=9?

Answers

because x was *3 you had to y*3 which is
y=6

y = 2
x = 3

If x = 9, = x * 3

Thus, y * 3 = 6.

Thus, y = 6.

What is the equation of a vertical line passing through the point (-4, 7)?

Answers

Answer:

x=-4

Step-by-step explanation:

Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4

What is the y-intercept of the line described by the equation below?

y = 7x + 4

Answers

The y-intercept is 4.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

y = 7x+4

Comparing to the equation of Line y=mx+b,

Whereas the y-intercept is the b.

So, 7 is the slope and 4 is the y-intercept

Hence the y-intercept is 4.

Learn more about linear equation

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The y-intercept is where the graph crosses the y-axis. In the equation y=mx+b, the y-intercept is the b. So in y=7x+4, the y-intercept would be positive 4, or the ordered pair (0,4).

What value of c makes x2 − 24x + c a perfect square trinomial?−144
−48
48
144
Unsubs

Answers

x² - 24x + c

perfect square trinomial: a² + 2ab + c²
a² = x² ⇒ x * x
2ab = -24x ⇒ 2(-12)x
c² = (-12)² = 144

x² - 24x + 144

The value of c to create a perfect square trinomial is 144.

Answer:

144

Step-by-step explanation:

To clean a tank, 3/4 cup of disinfectant is needed for every 2 gallons of water. How many cups of disinfectant are needed for 20 gallons of water?A. 7 1/2
B. 15
C. 22 1/2
D. 30

Answers

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of gallons of water.”How many cups of disinfectant are needed for 20 gallons of water so c is

I use ratio and proportionchanges 3/4= .75.75 cups/2 gallons= x cups/2o gallonscross multiply2x= 15x= 7 1/2 cupsalso there are 10 gallons for every 3/4 cup10 x 3/4= 30/4= 7 1/2I like ratio and proportion it's more consistent in solving lots of problemshope this helps

Please help asap 25 pts

Answers

$C.\ exponential;\ y=98\cdot0.79^x$

$check:\nfor\ x=0\to y=98\cdot0.79^0=98\ :)\nfor\ x=1\to y=98\cdot0.79^1\approx77\ :)\n...\nfor\ x=4\to y=98\cdot0.79^4\approx38\ :)$

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