A line contains the points (10,7) and (5,-8). Write the equation of the line.

what is the answer to Lakshmi planted 20 begonias, but her neighbor’s dog ate 7 of them. What percent of the begonias did the do

Alenkasestr [34]

Answer:

35%

Step-by-step explanation:

divide 7 by 20.

4 0

3 years ago

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The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft t

pochemuha

These calculations are based on the drawing of the file enclosed.

There are three right triangles.

From the big right triangle:

a^2 + b^2 = 25^2

From the small right triangle on the left side:

(25-x)^2 + 10^2 = a^2

From the small right triangle on the right side

x^2 +10^2 = b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2

=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2

=> x^2 -50x + 100 =0

Use the quadratic formular to find the roots:

x = 2.1 and x = 47.9

Distance from back: 25 - 2.1 = 22.9 ft

Answer: 22.9 ft

8 0

3 years ago

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x,y, and z to the nearest tenth .(hint: use altitude and leg rules) PLEASE HELP FAST !!! please solve and show steps

madreJ [45]

Use the Pythagorean theorem to find z:

z = √(6^2 + 9^2)

z= √(36 + 81)

z = √117

z = 3√13 = 10.8

Use leg rule to find x:

x/6 = 6/9

Cross multiply:

9x = 36

Divide both sides by 9:

x = 36/9

x = 4

Use Pythagorean theorem to find y:

y = √(6^2 + 4^2)

y= √(36 + 16)

y = √52

y = 2√13 = 7.2

7 0

3 years ago

Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator. ⇒ 1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒ 60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of inspectors required by the power plant = m

Now, from the given ratios:

For, 3 electrician there is 1 generator

⇒ For, 3 x 20 Electrician there is 1 x 20 Generators.

or, for 60 Electrician there are 20 Generators. (1)

Also, for 60 Electrician there are 4 inspectors. (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

$\frac{20}{4} = \frac{50}{m}\\ \implies m = 50 \times\frac{4}{20} = 10$

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0

3 years ago

Which equation shows how to use equivalent fractions to evaluate 4/5-2/3

Alecsey [184]

B

Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.

8 0

3 years ago