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andrew-mc [135]
3 years ago
8

A building across the street casts a shadow that is 24 feet long. your friend is 6 feet tall and casts a shadow that is 4 feet l

ong. what is the hieght of the building
Mathematics
1 answer:
julsineya [31]3 years ago
3 0
I think the answer would be 12
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If the roots of a quadratic equation are 1±√5, then the product of the roots is
Drupady [299]
The plus-minus sign represents that there are two possible outcomes.

In this case, we have 1 \pm \sqrt{5}. When we branch out the possibilities we got 2 values: 1 + \sqrt{5} and 1 - \sqrt{5}

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: (1 + \sqrt{5}) \times( 1 - \sqrt{5})

When we FOIL the we get: 1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}

Simplify:
1 - \sqrt{5} + \sqrt{5} - 5
1 - 5 = 6

So the product of the two roots of this equation is 6.
5 0
4 years ago
Read 2 more answers
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Taya2010 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

3 0
3 years ago
Please me in math<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%20%2B%201%7D%7Ba%20-%201%7D%20%20%2B%20%20%5Cfrac%7B%20%7B
PIT_PIT [208]

Step-by-step explanation:

hope this helps you thank you

5 0
3 years ago
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Dave rolls a die and flips a coin. How many outcomes are in the sample space?
sergij07 [2.7K]
Where's the sample space? I need it to answer this question.
4 0
3 years ago
A career placement test eliminates a profession when a person receives a score of 18 or less. If the score is calculated
Volgvan

Answer:

See the figure attached

Step-by-step explanation:

Let's call :

x: positive response

y: negative response

then the score is:

2x - 3y

A career placement test eliminates a profession when a person receives a score of 18 or less, that's represented by the following inequality:

2x - 3y ≤ 18

3 0
3 years ago
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