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Elena-2011 [213]
3 years ago
15

A 12-foot ladder is leaning against a building with the base of the ladder 5 feet from the building. How can you find how high o

n the building the top of the ladder will reach?​

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

use the therom of pythagoras

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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The ot
Dahasolnce [82]
They are similar triangles because they are both right triangles
4 0
4 years ago
For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
Luba_88 [7]

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

\frac{12}{x} *-8x^{3}

=-96x^2

Domain: (-∞, 0) U (0, ∞)

7 0
2 years ago
What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0
kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0
3 years ago
Multiple Choice
Zigmanuir [339]

Answer:

the slope is POSITIVE (answer A)

Step-by-step explanation:

The line goes through: (-1, -2)  and ( 2, 1)

Then the slope can be calculated as:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1

Therefore, the slope is POSITIVE (answer A)

8 0
3 years ago
Read 2 more answers
What’s the answer for 3^2 x 3^2
ArbitrLikvidat [17]

Answer:

81

Step-by-step explanation:

3^2

3 × 3

= 9

3^2

3 × 3

= 9

9 × 9

= 81

3 0
3 years ago
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