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gavmur [86]
3 years ago
8

In rectangle ABCD, AC = x + 10 and diagonal BD = 2x - 30. Find the value of x.

Mathematics
1 answer:
natka813 [3]3 years ago
4 0
 set the equations equal to each other, diagonals are equal so. 2x - 30 = x + 10 . so x = 40
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(8.03 LC)
Blizzard [7]

y = 4x + 8

y = 4x + 2

y = y

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6 0
3 years ago
**A rock dropped from a 100 foot tower.
mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

h(t)=-16t^2+10t+100

When a rock reached the ground then h(t)=0

-16t^2+10t+100=0

16t^2-10t-100=0

Using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}

t=\frac{10\pm\sqrt{100+6400}}{32}

t=\frac{10+\sqrt{6500}}{32}=2.83

t=\frac{10-\sqrt{6500}}{32}=-2.2

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0
3 years ago
Identify the effect on the graph of replacing f(x) by f(x - h)
Tresset [83]

Given:

Replace f(x) by f(x - h).

To find:

The effect on the graph of replacing f(x) by f(x - h).

Solution:

Horizontal shift is defined as:

If the graph f(x) shifts h units left, then f(x+h).

If the graph f(x) shifts h units right, then f(x-h).

Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

4 0
3 years ago
What is a corner of a kitchen counter?
IRINA_888 [86]

Answer:

vertices

Step-by-step explanation:

The corner of a shape or object is the vertices

8 0
2 years ago
-4(5+n) = -12 need help​
user100 [1]

First, simplify out the brackets:

-20 - 4n = -12

Then, combine like terms by moving the -20 to the other side

-4n = -12 + 20

-4n = 8

Divide by -4 on both sides to isolate the n

n = 8/-4

n = -2

7 0
3 years ago
Read 2 more answers
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