Graph the line : y= -2/3x+4

Answers

Answer 1

Answer: $y=-(2)/(3)x+4\n\nfor\ x=0\to y=-(2)/(3)\cdot0+4=4\to A(0;\ 4)\n\nfor\ x=6\to y=-(2)/(\not3_1)\cdot\not6^2+4=-4+4=0\to B(6;\ 0)$

Answer 2

Answer: x=0 => y =4 => A(0, 4)∈ Gf;
x = 1 => y = 10/3 => B(1, 10/3)∈ Gf;
Graph tle line AB.

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If m∠2 = 137 and m∠P = 22, what is m∠O?

Answers

The measure of angle O is 21 degrees.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

The sum of the interior angles in a triangle is 180 degrees. Therefore, we can find the measure of angle O by subtracting the measures of angles N and P from 180 degrees:

m∠O = 180° - m∠N - m∠P

We are given that m∠N = 137 degrees and m∠P = 22 degrees, so substituting these values, we get:

m∠O = 180° - 137° - 22°

m∠O = 21°

Therefore, the measure of angle O is 21 degrees.

Learn more about triangles here:

brainly.com/question/2773823

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Complete question:

in a triangle npo If m∠n = 137 and m∠P = 22, what is m∠O?

so than this is a triangle so we know that the sum of measure of angles of a triangle is equal 180 degrees
- in this case m<O = 180 -(137+22) = 180 -159 = 21

m<O = 21 degrees

The focus of a parabola is (3,-7) and the directrix is y = -4.What is an equation of the parabola?

Answers

Answer:

(a) (x -3)^2 = -6(y +5.5)

Step-by-step explanation:

The equation of a parabola can be written as ...

(x -h)^2 = 4p(y -k)

where (h, k) is the vertex, and p is the distance from the focus to the vertex.

The vertex is half-way between the focus and directrix, so is ...

(h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)

The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...

-7 -(-5.5) = -1.5

Then the equation for the parabola is ...

(x -3)^2 = 4(-1.5)(y -(-5.5))

(x -3)^2 = -6(y +5.5) . . . . matches the first choice

The area of the sector formed by the 110 degree central angle is 50 units squared. What is the radius of this circle??

Answers

Answer:

Area of the sector(A) is given by:

$A = \pi r^2 \cdot (\theta)/(360^(\circ))$

where,

r is the radius of the circle and $\theta$ is the central angle in degree.

As per the statement:

The area of the sector formed by the 110 degree central angle is 50 units squared.

⇒A = 50 units squared and $\theta = 110^(\circ)$

Substitute these in [1] and use 3.14 for pi we have;

$50 = 3.14 \cdot r^2 \cdot (110)/(360)$

⇒ $50 = 0.959444446r^2$

Divide both sides by 0.959444446 we get;

$r^2 = 52.1134915$

⇒ $r = √(52.1134915)$

Simplify:

r ≈ 7.22 units

Therefore, the radius of this circle is, 7.22 units

Hello,
Let make a rule of three.

For 360° area of the circle is π R²
For 1° ............of the sector .. πR²/360
For 110° ............................... πR²*110/360 =50(units squared)

R²=50*360/(110π)
==>R=6*√(50/(11π))≈7,217137....(units)

Find the value of a−b/c−b if a=32, b=8, c=30. Write your answer as a simplified mixed number.Need soon thanks!

Answers

Answer: 1 1/11 or 12/11

Step-by-step explanation: a-b= 32-8 which equals 24. Then it would be c-b which is 30-8 which equals to 22. Then it would be 24/22. You can divide by two on both sides, which would be 12/11. Then as a mixed number, it would be 1 1/11.

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold?a. 6
b. 9
c. 12
d. 15

Answers

x + y = 24 <=> x = 24 - y. So far we have the value of x relative to the value of y. Now we can replace it in the second equation: 3.5x + 5y = 97.5 <=> 3.5 * (24 - y) + 5y = 97.5 <=> 84 - 3.5y + 5y = 97.5 <=> 1.5y = 97.5 - 84 <=> 1.5y = 13.5 <=> y = 13.5/1.5 <=> y = 9. And since x was 24 - y, this means that x = 15. So the answer is D.

Answer:

There were 15 10. oz boxes sold. The answer is 15 or D on edgenuity 2020!

Step-by-step explanation:

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TenCo's junior tennis rackets has fixed costs of $740,000.00. The selling price per racket is $77.59. The variable cost per racket is $39.72. What is the break-even point in units?

Answers

B = F / (S-C)

B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit

B = 740000 / (77.59 - 39.72) = 19540.53

The breaking point is approached after selling 19541 units.

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