16 x + 4 y = − 6 8 x + 2 y = 0

What are ALL the solutions 16x^2-12x=54

nikdorinn [45]

Answer:x=9/4 and x=-3/2

Step-by-step explanation:

4 0

2 years ago

A, B, and C are midpoints of ∆XYZ. What is the length of cy

iogann1982 [59]

Answer:

$XY=36\ units$

Step-by-step explanation:

The correct question is

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

$AB=\frac{1}{2}YZ$

we have

$AB=24\ units$

substitute

$24=\frac{1}{2}YZ$

solve for YZ

$YZ=48\ units$

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

$XZ^2=XY^2+YZ^2$

substitute the given values

$60^2=XY^2+48^2$

solve for XY

$3,600=XY^2+2,304$

$XY^2=3,600-2,304$

$XY^2=1,296$

$XY=36\ units$

Applying the Midpoint Theorem

$BC=\frac{1}{2}XY$ -----> $BC=\frac{1}{2}(36)=18\ units$

$AC=\frac{1}{2}XZ$ -----> $AC=\frac{1}{2}(60)=30\ units$

5 0

2 years ago

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to cr

podryga [215]

Question:

a. A = (2πr)(r)

b. A = (2πr)(2r)

c. $A =\frac{1}{2} (2\pi r)(r)$

d. $A =\frac{1}{2} (2\pi r)(2r)$

Answer:

The correct option is $A =\frac{1}{2} (2\pi r)(r)$

Step-by-step explanation:

The formula for the area, A of a parallelogram = base, b × height, h

Therefore, since the base dimension is approximately half the perimeter of a circle, we have;

Base, b = 2·π·r × 1/2

Where the height of the parallelogram, as shown in the diagram is approximately the radius of the circle, we have;

Height, h = r

Therefore, the approximate area, A of the parallelogram is given by the following relation;

A = b × h = 2·π·r × 1/2 × r Which is the same as A = $\frac{1}{2} (2\pi r)(r)$ .

4 0

2 years ago

There are 7 whole numbers in a set of numbers. The least number is 10, and the greatest number is 20. The median is 16, and the

mezya [45]

Answer:

10, 12, 12, 16, 17, 18, 20

Step-by-step explanation:

The question has already given you most of the numbers - you can need to consider the different types of averages.

We know there is a 10, 12 (at least two 12's as it's the mode), a 16 and a 20. That's 5 numbers already.

As we know that 16 is the median, it HAS to be the 'middle' number - i.e. the 4th in the series (1st, 2, 3, 4, 5, 6 7th)

That means we can now be sure that there are 2 12's, as follows:

10, 12, 12, 16, ?, ?, 20

We know we need the mean to equal 15 so...

Y/7 = 15, where Y is the sum of all 7 numbers

If we reverse this we can work out what the total of set needs to be

15*7 = 105

Therefore Y is 105

Adding the numbers we have so far together: 10 + 12 + 12 + 16 + 20 = 70

105 - 70 = 35

Therefore the last two numbers have to equal 35. As we know that 12 is the mode, one of the answers cannot be 16 as 16 would then also be the mode.

That means, as the numbers are all whole numbers, that the last in the set are 17 and 18.

To check this I then calculate the mean again:

10 + 12 + 12 + 16 + 17 + 18 + 20 = 105

105 / 7 = 15

4 0

2 years ago

Find the value of t in the equation t + 5 + 3t = 1

Blizzard [7]

<h3>I'll teach you how to solve t + 5 + 3t = 1</h3>

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t + 5 + 3t = 1

Group like terms:

t+3t+5= 1

Add similar elements:

4t+5=1

Subtract 5 from both sides:

4t+5-5 = 1-5

Simplify:

4t= -4

Divide both sides by 4:

4t/4 = -4/4

Simplify:

t= -1

Your Answer Is t= -1

plz mark me as brainliest :)

6 0

2 years ago