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disa [49]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

This is a right triangle, so we know that:

h² = b' · c'

which is this case can be specificly written as:

BD² = AD · CD

BD² = 7 · 3 = 21

BD = √21

Now that we can also notice that ΔADB is also a right triangle, therefore we can apply the pythagorean theorem:

AD² + BD² = AB²

7² + (√21)² = x²

x²               = 49 + 21 = 70

x                 = √70

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60

Step-by-step explanation:

1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60

8 0
2 years ago
If f(x) = –x + 2, find f(4).
NeTakaya

Answer:

-2

Step-by-step explanation:

If you substitute x for 4, you have -4+2 to get -2.

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3 years ago
X + 3y = 14<br><br>-5x + 6y = -28<br><br><br>Solve systems by substitution
mote1985 [20]

Rearrange the first system to get x = -3y + 14. Substitute that into the other system.

-5x+6y=-28\\\\-5(-3y+14)+6y=-28\\\\15y-70+6y=-28\\\\15y-70+6y=-28\\\\21y-70=-28\\\\21y=42\\\\y=2

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4 0
3 years ago
Whats the name of the qudrilateral below?
andrezito [222]

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I dont see any picture "below"

Step-by-step explanation:

3 0
3 years ago
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
Juli2301 [7.4K]

Answer:

Option 4 is correct.

Step-by-step explanation:

Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.

The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.

The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.

The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.

If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.

The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.

Therefore, the correct option is 4.

8 0
3 years ago
Read 2 more answers
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