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FinnZ [79.3K]
3 years ago
14

A parabola with x intercepts of (8,0) and (-2,0) which passes through the point (7,9)

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Step-by-step explanation:

Using zero product rule, we have -(x - 8)(x + 2) = 0.

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How do I solve for X?
lidiya [134]
We use the theory of Pythagoras because the triangle is right.

AB {}^{2}  =  AC {}^{2}  +  BC {}^{2}
since AB = AC = x
8 {}^{2}  = x {}^{2}  + x {}^{2}
64 = 2x {}^{2}
32 = x {}^{2}
x =  \sqrt{32}
x =  \sqrt{16 }  \times  \sqrt{2}
x = 4 \sqrt{2}
6 0
2 years ago
Read 2 more answers
Problem PageQuestion A Web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes
dalvyx [7]

Answer:

There were 210 downloads of the standard version.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of downloads of the standard version.

y is the number of downloads of the high-quality version.

The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.

This means that:

2.6x + 4.2y = 4074

Yesterday, the high-quality version was downloaded four times as often as the standard version.

This means that y = 4x

How many downloads of the standard version were there?

This is x.

2.6x + 4.2y = 4074

Since y = 4x

2.6x + 4.2*4x = 4074

19.4x = 4074

x = \frac{4074}{19.4}

x = 210

There were 210 downloads of the standard version.

8 0
3 years ago
PLEASE HURRY<br> How do i solve these problems
Tatiana [17]

Answer:

X = 13

X = 70

Step-by-step explanation:

1. Since it is a right angle set the equation up as X +2 + 75 = 90.

X =13

2. Set up x - 20 + 40 = 90 since right triangles are 90 degrees

x = 70

5 0
3 years ago
A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was
ELEN [110]

Answer:

Number of games won = 110

Step-by-step explanation:

Given:

Total games played = 154

The ratio of number of games won to number of games lost = \frac{5}{2}

Solution:

Let the number of games won be = 5x

Thus, number of games lost = 2x

The total games played can be given as = 5x+2x=7x

Thus, we have:

7x=154

Dividing both sides by 7.

\frac{7x}{7}=\frac{154}{7}

∴ x=22

So, number of games won  = 5\times 22 = 110

7 0
3 years ago
Solve −3x+5&lt;17 <br><br> If someone could do this fast it would really help!
miss Akunina [59]

Answer:

x>-4

Step-by-step explanation:

-3x<12

x>-4

8 0
2 years ago
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