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Makovka662 [10]
3 years ago
7

the expressions 4b-6 and 2b+4 represent the lengths of the diagonals of parallelogram wxyz for what value of b is wxyz a rectang

le
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:  b = 5

Step-by-step explanation:

Here parallelogram wxyz has diagonals,

4b-6 and 2b+4

Since, If a parallelogram has a equal pair of congruent or equal diagonal it is called a rectangle.

Thus, if wxyz is a rectangle,

Then, 4 b - 6 = 2 b + 4

⇒ 4b = 2 b + 4 + 6

⇒ 4 b = 2 b + 10

⇒ 4 b - 2 b = 10

⇒ 2 b = 10

⇒ b = 5

Hence, for b = 5,  wxyz is a rectangle.

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Find the equation of the line with slope = 2 and y-intercept = -8.​
elena-s [515]

Answer: d

Step-by-step explanation:

Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8

6 0
3 years ago
Valerie is ordering salads and drinks for her friends. salads cost $7 each, drinks cost $3 each, and there is a $5 delivery char
Helen [10]

Since there is a $5 delivery charge, Valerie will surely spend those money.

Also, since a salad costs $7, and Valerie buys 3 of them, she will spend 21 more dollars.

So, salads and delivery charge sum up to 21+5 = 26

This means that Valerie has 50-26 = 24 dollars left. A drink costs $3, so she can buy

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5 0
3 years ago
The table below shows the distance Chris is located from his school at different times. Time (minutes) Distance (miles) 0 20 3 1
telo118 [61]

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20 minutes

Step-by-step explanation:

x is 0 in the graph and y is 20

so 20 is your answer if 0 is x

3 0
2 years ago
Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

  y = a(x -3)² +b

Filling in the values from the first two table points, we get

  For (x, y) = (0, 6):

     6 = a(0 -3)² + b       ⇒   9a +b = 6

  For (x, y) = (2, 22):

     22 = a(2-3)² +b       ⇒   a +b = 22

Subtracting the second equation from the first gives ...

  (9a +b) -(a +b) = (6) -(22)

  8a = -16 . . . . . . collect terms

  a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

The value of y for x=5 is ...

  y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20
Alenkinab [10]

Answer:

{ x^2+3x-4}

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }

= \frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}

= \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= { (x-1)(x+4)}

= { x^2+3x-4}

3 0
2 years ago
Read 2 more answers
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