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Art [367]
3 years ago
14

What is the length of DE

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

5

Step-by-step explanation:

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What are the possible values of x in 8x^2+4x=-1
Vladimir79 [104]

Answer:

x1=-0.25(+)(0.25i)

x2=-0.25(-)(0.25i)

Step-by-step explanation:

we have

8x^{2}+4x=-1

Factor the leading coefficient

8(x^{2}+0.5x)=-1

Complete the square. Remember to balance the equation by adding the same constants to each side.

8(x^{2}+0.5x+1/16)=-1+1/2

8(x^{2}+0.5x+1/16)=-1/2

(x^{2}+0.5x+1/16)=-1/16

Rewrite as perfect squares

(x+0.25)^{2}=-1/16

remember that

i=\sqrt{-1}

(x+0.25)=(+/-)(0.25i)

x=-0.25(+/-)(0.25i)

x1=-0.25(+)(0.25i)

x2=-0.25(-)(0.25i)

6 0
3 years ago
Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
3 years ago
Read 2 more answers
3x + 2 3 y - 15 < 0 The point (x, 9) is a solution for the inequality shown. What is a possible value for x?
love history [14]

Answer:

x is any number less than -64; i.e. -66

Step-by-step explanation:

Inequality

3x + 23y - 15 < 0

where point (x,9) satisfies this

Substitute 9 for y

3x + 23(9) - 15 < 0

3x + 207 - 15 < 0

3x + 192 < 0       Take away 192 from both sides

3x < -192             Divide both sides by 3 to isolate x

x < -64


Check:

3(-64) + 23(9) -15 < 0

-192 + 207 - 15 < 0

-192 + 192 < 0

Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.

4 0
3 years ago
Read 2 more answers
How do you find the slope of a line without the units of a graph?​
tankabanditka [31]
Use m=y2-y1 over x2-x1.
3 0
3 years ago
PLEASE HELP!!! Maria is saving money so she can go to a professional football game. Maria has $25. She saves $5 a week. Graph a
Kruka [31]
Equation would be: Y = 25 + 5x
Where, x = number of weeks
So, when x = 1, Y = 25 + 5(1) = 25+5 = 30
When x = 2, Y = 25 + 5(2) = 25 + 10 = 35
x = 3, Y = 25 + 5(3) = 25 + 15 = 40

So, Mark the coordinates: (0, 25), (1, 30), (2, 35), (3, 40), (4, 45), (5, 50)...
And draw a line...Graph is done!

Hope this helps!
6 0
3 years ago
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