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Oksanka [162]
2 years ago
6

Which word is used to name the bold number?

Mathematics
1 answer:
yuradex [85]2 years ago
3 0
The bold number (10) is the difference because it is calculated by subtracting two numbers.
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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
PLEASE HELP! Find an equation of the line whose intercepts are twice those of the graph of 5y+2x=10.
valina [46]

5y+2x=10y=−25x+2246810−2−4−6−8−10246810−2−4−6−8−10Let's solve for x.5y+2x=10Step 1: Add -5y to both sides.2x+5y+−5y=10+−5y2x=−5y+10Step 2: Divide both sides by 2.2x2=−5y+102x=−52y+5Answer:x=−52y+5

6 0
3 years ago
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What is the length of the diagonal, d, of the rectangular prism shown below?
Lena [83]

Answer:

d = 10√10 ≈ 31.62

Step-by-step explanation:

d = √l²+w²+h²

d = √5²+8²+2²

d = √25+81+4

d = √110

d = 10*√10

4 0
3 years ago
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Your employer has 600 business cards printed to you,and you gave away 280 of them to the nearest hundreth what percentage of the
Snowcat [4.5K]
I need point i dont
5 0
2 years ago
Fraction 6/22 simplest form
asambeis [7]

Answer:

1/4

Step-by-step explanation:

4 0
3 years ago
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