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lyudmila [28]
4 years ago
11

A point that is 7 units from the y-axis is reflected across the y-axis. What is the distance of this new point from the y-axis?

Explain how you know.

Mathematics
1 answer:
yarga [219]4 years ago
8 0

Answer:

7 units  

Step-by-step explanation:

When you reflect a point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign: it becomes (-x, y).

Thus, if a point A, say, (-7, 5) is seven units to the left of the y-axis, its reflection A' will be the same distance to the right, at (7,5).

In the image below, Point A is seven units to the left of the y-axis. Its reflection, Point A', is seven units to the right of the axis.

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Please help with the problem
worty [1.4K]

Answer:

95%

Step-by-step explanation:

0.6 of 40 is 24, she bought 24 green balloons.

24 × 1.5 = 36, she bought 36 yellow balloons.

So we have

40 red

24 green

36 yellow

Then from the rest of the information, 2 red, 2 green, and 1 yellow balloon all popped.

We now have

38 red

22 green

35 yellow

for a total of:

95 balloons out of 100 original balloons, 95%

7 0
3 years ago
Exercise
Maurinko [17]
X - nominator
y - denominator

\frac{3x}{y+12}=\frac{3}{4}\\
\frac{x+7}{3y}=\frac{1}{2}\\\\
3(y+12)=12x\\
2(x+7)=3y\\\\
3y+36=12x\\
2x+14=3y\\\\
2x+14+36=12x\\
10x=50\\
x=5\\\\
3y=2\cdot5+14\\
3y=10+14\\
3y=24\\
y=8\\\\
\frac{x}{y}=\boxed{\frac{5}{8}}
6 0
4 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
7 0
3 years ago
Given the associated quantity demanded, Q1, and quantity supplied, Q2, which of the following describes the quantity Q2−Q1?
Annette [7]

Answer:

The answer is A. the surplus resulting from the price floor Pc

Step-by-step explanation:

This is because the imposition of a price floor will not cause a shortage.

6 0
3 years ago
Identity Structure find the rule for each function table.
Andreyy89

Answer:

The rule for given table is y = 4x - 1.

Step-by-step explanation:

From the given table it is noticed that the function passing through the points (1,3), (2,7) and (3,11).

If a line passing through the two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-3=\frac{7-3}{2-1}(x-1)

y-3=\frac{4}{1}(x-1)

y-3=4(x-1)

y-3=4x-4

Add 3 both sides.

y=4x-4+3

y=4x-1

Therefore the rule for given table is y = 4x - 1.

6 0
3 years ago
Read 2 more answers
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