How many solutions are there to this equation?<br> 6x+15=6(x-3)

A helicopter takes off from the ground 800 feet from the base of a building. It flies in a straight line directly to the top of

Xelga [282]

The helicopter took off from the angle of 11°.

7 0

3 years ago

Read 2 more answers

Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

5 0

2 years ago

Say the fraction in unit form. 1/10

Anni [7]

Answer:

One tenth

Step-by-step explanation:

You state the number on top as is.

Numerator:

1 - one

2- two

and so on.

over the denominator

which you state as an ordinal number

2 = halves

3 = thirds

4 = fourths

5 = fifths

etc.

so 1/10 would be one over tenths but you say one tenth.

5 0

3 years ago

What is the y and x? <br> write an equation.

solong [7]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 1993}} &,&{{ 14220}}~) 
% (c,d)
&&(~{{ 1997}} &,&{{ 9780}}~)
\end{array}
\\\\\\
% slope = m
slope \implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{9780-14220}{1997-1993}\implies \cfrac{-4440}{4}\implies -1110$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-14220=-1110(x-1993)
\\\\\\
y-14220=-1110x+2212230\implies y=-1110x+2226450$

5 0

3 years ago

Which is bigger 7/8 or 0.78

Paladinen [302]

7/8..........................................

8 0

3 years ago

Read 2 more answers

How many solutions are there to this equation? 6x+15=6(x-3)