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alex41 [277]
3 years ago
10

18) What value of x makes R(x) = 10

Mathematics
1 answer:
Illusion [34]3 years ago
8 0
<h3>Two Answers:  <u>x = 2 and x = 10</u></h3>

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

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

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Theresa and Mark are playing cards. Each card is -50 points.
Amiraneli [1.4K]

*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*

Part A) Theresa has 5 cards so: 5 x -50 = -250

Theresa has -250 points.

Part B) Mark has 8 cards so: 8 x -50 = -400

Mark has -400 points.

Part C) Theresa has more points because -250 is closer to 0 on a number line.

4 0
3 years ago
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In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?
djyliett [7]

Answer:

8 up

Step-by-step explanation:

8 0
2 years ago
Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)
Dafna11 [192]

Answer:

a.  sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b.  (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know  sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r  and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2)  and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that  sin theta = y/r  and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know  r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0
3 years ago
Can you please help me?
garri49 [273]

Answer:

6.2

Step-by-step explanation:

\frac{10.3}{sin(90)} = \frac{x}{sin(37)}                 *Cross multiply*

10.3(sin(37)) = x(sin(90))   *Divide by sin(90) to isolate x*

x = \frac{10.3(sin(37))}{sin(90)}                  *Solve*

x = 6.19 ≈ 6.2

4 0
3 years ago
Which answer do I choose?
suter [353]

Answer:

last one

Step-by-step explanation:

p=21 + 2w

p-21=2w

p-21/2=w

7 0
2 years ago
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