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slamgirl [31]
2 years ago
11

Someone help please

Mathematics
1 answer:
Lady_Fox [76]2 years ago
6 0

Answer:

AD = 10 units

Step-by-step explanation:

BC to FG ratio is 2:3

thus, 1:1.5

to get AD, divide EH by 1.5 to get 10

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Twice the sum of a number and 3 is the same as 11 increased by the number.
ANEK [815]
Twice the sum of a number and 3

2 (x+3)

is the same

=

as 11 increased by the number

11 + x

so...

2 (x+3) = 11 + x

2x+6 = 11+x

2x-x = 11-6
x = 5
8 0
3 years ago
Show all work to factor x4 − 17x2 + 16 completely.
Triss [41]

Answer:

Step-by-step explanation:

put x^{2}=y\\squaring\\x^{4}=y^{2}\\y^2-17y+16=y^2-y-16y+16=y(y-1)-16(y-1)=(y-1)(y-16)\\replacing the value of y\\x^4-17x^2+16=(x^2-1)(x^2-16)=(x+1)(x-1)(x+4)(x-4)

8 0
3 years ago
Fire Fighters are attempting to rescue people from the 3rd floor of a building. The
Daniel [21]

Answer:

If it's where they can get to the building I think it's 15

Step-by-step explanation:

Cause 10 plus 5 and if that can reach where they are able to get in I'd assume it would be 15

I'm not a genius or anything so don't rely on my answer

7 0
3 years ago
Tell whether the graph opens upwards or downward and whether the parabola has a maximum or minimum y=-x2-7x+18
allochka39001 [22]

Answer:

Downwards, maximum

Step-by-step explanation:

In a <em>quadratic function </em>- one of the form y=ax^2+bx+c where a, b, and c are all constant - the direction of the parabola is determined by <em>a. </em>If a is <em>positive</em>, the parabola opens upward - it has no maximum, since it shoots up infinitely in the positive y direction, but it does have a minimum; if you dropped a marble inside the parabola, it's the point where that marble would eventually rest. If a is <em>negative</em>, our parabola opens in the <em>negative</em> y direction, and the graph has a maximum. To use the marble analogy, the maximum is the one point where the marble won't roll off the sides of the graph.

Our function has a = -1, so it opens <em>downward</em> and has a <em>maximum point</em>.

7 0
4 years ago
How many credit hours a student have to take for the two tuition cost to be equal round the answer to the nearest 10th of an hou
bazaltina [42]

Answer:

Total credit hours a student have = 2.5 hours.

Step-by-step explanation:

P.S - The exact question is -

Given - The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.

To find - How many credit hours will a student have to take for the two tuition costs to be equal.

Proof -

If the two tuition cost are equal, then

C(h) = S(h)

⇒250 + 200h = 300 + 180h

⇒200h - 180h = 300 - 250

⇒20h = 50

⇒2h = 5

⇒h = \frac{5}{2}

⇒h = 2.5

∴ we get

Total credit hours a student have = 2.5 hours.

7 0
3 years ago
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