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stiv31 [10]
3 years ago
6

Please answer!!!! Express (x + 9)2 as a trinomial in standard form.

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

x² +18x +81

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(x+9)² = x²+9²+2*x*9= x² +18x +81

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You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
SomeOne Please help me answer this question.
saw5 [17]

Answer: 79 degrees

Step-by-step explanation:

4x+1 + 3x+4 = 180

7x + 5 = 180

7x = 175

x = 175:7 = 25

m8 = 3x + 4 = 3*25 + 4 = 79

3 0
3 years ago
Can someone help me ?
prisoha [69]
I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.
7 0
3 years ago
Read 2 more answers
What do you think is true of a line and a point not on the line? Explain
statuscvo [17]
The point is not a solution to the equation of the line.

Hope this helps!
3 0
3 years ago
Sam and Avery are making small and large birdhouses for an upcoming craft show. They will sell the small birdhouses for $10 and
kupik [55]

Answer:

<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>

Step-by-step explanation:

They want to make as much money as possible.

Small bird house gives them $10 and large birdhouse give them $15.

Avery has time to decorate 12 birdhouse of either size.

Hence, to maximize the earning, Avery should build 12 large ones.

Sam can make any of the combination below in 24 hours.

4 Large and 1 small bird house, which will make 4 \times 15 + 10 = 70

3 Large and 3 small bird house, which will make 3 \times15 + 3 \times10 = 75

2 Large and 4 small bird house, it will gain 2 \times15 + 4 \times10 = 70

1 Large and 6 small bird house, it will make 1 \times15 + 6 \times10 = 75

8 small bird house, which will gain 8\times10 = 80

The profit will be maximize if Sam build 8 small bird houses.

Thus, they will make 80 + 12\times15 = 260.

5 0
3 years ago
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