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2 years ago

Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

1 answer:

5 0

y=+- square root 5 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3

Answer: x = +/- 2/3

y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 7/9 = 2/9 => x = +/- (√2) / 3

Answer: x = +/-(√2)/3

y=+- 3 over 3

x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)

Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

= y = +/- 2(√2) /2 = √2 ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.

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1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

2 years ago

ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?

Digiron [165]

Answer:

The correct answer is option B. 17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ = (6m – 12)°

(6m – 12)° = 90°

6m = 90 + 12 = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B. 17

8 0

1 year ago

Read 2 more answers

60% of the students in Mr. Vick's class have computers at home. If 21 students in his class have computers at home, how many stu

aleksley [76]

Answer:

There are 35 students in his class.

Step-by-step explanation:

1. Create a proportion: 60/100=21/x

2. Cross multiply, or not (I prefer to cross multiply). 60x=2100

3. Solve the equation: x=35.

Answer: There are 35 students in his class, 14 people going in school, 21 student online.

3 0

2 years ago

The number of cubic feet of water in a curved container can be approximated by v = 0.95h2.9. use a calculator to find the amount

Black_prince [1.1K]

V=0.95h^2.9
h=7.5 feet→V=0.95(7.5)^2.9
V=0.95(344.8876664)
V=327.6432830
Rounded to the nearest tenth:
V=327.6 cubic feet

5 0

2 years ago

Read 2 more answers

Susie has 20 pieces of candy in a bag: 6 mint sticks, 5 jelly treats, and 9 fruit tart chews. If she eats one piece every 9 minu

motikmotik

Answer:

Step-by-step explanation:

7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick? ... First you add all the candies together to get 20 in the bag 2+11+7=20 jelly treat: ... Paul has a bag with 6 mint sticks, 9 jelly treats, and 5 fruit tart chews. If he eats one ...

4 0

2 years ago