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sertanlavr [38]
3 years ago
9

A school choir has 36 members. This year, there are three times as many returning members as new members. How many new members a

re in the choir this year?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0

Answer:its 12

Step-by-step explanation:

because there are 36 now and they have 3 times more each year so it is 12 + 12 + 12 = 36

rewona [7]3 years ago
3 0

Answer:

9

Step-by-step explanation:

9 new members because 9*3 is 27. Then 27 + 9 is 36 total.

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If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

(x, y)\rightarrow(x-4,y+3)

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

6 0
2 years ago
Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.
SCORPION-xisa [38]

The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.

<h3>What is slope intercept form a straight line?</h3>

The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

Since the slope is undefined in the given question, let us consider it as m.

Therefore, slope=m

Given points are 1/5 and -8, so x₁ = 1/5 and y₁ = -8

We know the formula is, y - y₁ = slope × (x - x₁)

Putting the values of x₁, y₁ and slope in the given formula we get,

y -(-8) = m × (x-1/5)

y = m(x-1/5) - 8

Hence, we get the required equation.

To learn more about slope intercept form, visit:

brainly.com/question/9682526

#SPJ13

8 0
1 year ago
1. Identify the focus and the directrix for 36(y+9) = (x - 5)^2 2. Identify the focus and the directrix for 20(x-8) = (y + 3)^2
Simora [160]

Problem 1

Focus: (5, 0)

Directrix:  y = -18

------------------

Explanation:

The given equation can be written as 4*9(y-(-9)) = (x-5)^2

Then compare this to the form 4p(y-k) = (x-h)^2

We see that p = 9. This is the focal distance. It is the distance from the vertex to the focus along the axis of symmetry. The vertex here is (h,k) = (5,-9)

We'll start at the vertex (5,-9) and move upward 9 units to get to (5,0) which is where the focus is situated. Why did we move up? Because the original equation can be written into the form y = a(x-h)^2 + k, and it turns out that a = 1/36 in this case, which is a positive value. When 'a' is positive, the focus is above the vertex (to allow the parabola to open upward)

The directrix is the horizontal line perpendicular to the axis of symmetry. We will start at (5,-9) and move 9 units down (opposite direction as before) to arrive at y = -18 as the directrix. Note how the point (5,-18) is on this horizontal line.

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

Problem 2

Focus:  (13,-3)

Directrix:  x = 3

------------------

Explanation:

We'll use a similar idea as in problem 1. However, this time the parabola opens to the right (rather than up) because we are squaring the y term this time.

20(x-8) = (y+3)^2 is the same as 4*5(x-8) = (y-(-3))^2

It is in the form 4p(x-h) = (y-k)^2

vertex = (h,k) = (8,-3)

focal length = p = 5

Start at the vertex and move 5 units to the right to arrive at (13,-3). This is the location of the focus.

Go back to the focus and move 5 units to the left to arrive at (3,-3). Then draw a vertical line through this point to generate the directrix line x = 3

5 0
3 years ago
Which fraction is equivalent to 15/30<br> 5/6<br> 3/4<br> 2/4<br> 3/5
ira [324]

15/30=2/4

you divide 15 by 7.5=2, and 30 by 7.2 which equals 4

8 0
3 years ago
Find the area of the triangle below.<br> 15<br> 9
defon

Answer:

67.5

Step-by-step explanation:

If your triangle's base is 15, and your height is 9, then the area is 67.5

5 0
2 years ago
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