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3 years ago

13

A ladder is 10 feet long and rests on a wall. The base of the ladder is 5 feet from the wall. Determine how high the ladder touc

hes the wall.

2 answers:

mr Goodwill [35]3 years ago

8 0

Answer:

8.66

Step-by-step explanation:

Alex Ar [27]3 years ago

5 0

8.660 ft a squared + b squared = c squared

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

A bunch of ballons contains many different colors. red 17 purple 11 orange 3 green 1 yellow 2 What is the probability that a ran

4vir4ik [10]

Answer: 1/2

Step-by-step explanation:

Number of red balloons = 17

Number of purple balloons = 11

Number of orange balloons = 3

Number of green balloons = 1

Number of yellow balloons = 2

Total number of balloons = 34

The probability that a randomly selected balloon will be red will be:

= Number of red balloons/Total number of balloons

= 17/34

= 1/2

5 0

3 years ago

How much did she spend on food during the three months

Dima020 [189]

Answer:

$ $$563.20$ or ≈$ $563.00$

Step-by-step explanation

The question states that Mrs. Hadley spent $126.97 on one month, $237.81 on the next, and $198.42 on the last. To get the total, we can add these values together.

$126.97+237.81+198.42=563.20$

An estimation would be:

$127+238+198=563$

We can use this estimation to determine that the total value is reasonable.

5 0

3 years ago

The factors of 6x-30 are ?

Tju [1.3M]

So you have 6x-30. The only factor I can think of for this is x+5. Because you have 6(x+5)= 6x+30

5 0

3 years ago

Read 2 more answers

Solve each equation.<br> 11. A number x divided by nine is two.

ivanzaharov [21]

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

6 0

3 years ago