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Pepsi [2]
2 years ago
7

Solve 2Q + 5s=r for s and show ALL your steps.

Mathematics
2 answers:
kobusy [5.1K]2 years ago
6 0

Answer:

Step-by-step explanation:

Subtract 2Q from both sides

2Q + 5s − 2Q = r − 2Q

Simplify

5s = r − 2Q

Divide both sides by 5

\frac{5s}{5} =\frac{r}{5} -\frac{20}{5}

Simplify

s=\frac{r-20}{5}

 

likoan [24]2 years ago
4 0

Answer:

2q-r= 5s

divide both sides by 5

2q-r/s =5s/5

therefore S= 2q-r/s

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what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)
riadik2000 [5.3K]

Answer:

y = -\frac53x + 20

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

  • Flip the sign (+/-)
  • Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>
  • y = -\frac53x + b
  • -5 = -\frac53(15) + b
  • -5 = -25 + b
  • 20 = b

The y-intercept of the new line is 20.

The equation is y = -\frac53x + 20

6 0
2 years ago
Find f(a), f(a+h), and<br> 71. f(x) = 7x - 3<br> f(a+h)-f(a)<br> h<br> if h = 0.<br> 72. f(x) = 5x²
Leni [432]

Answer:

71. \ \ \ f(a) \  = \  7a \ - \ 3; \ f(a+h) \  =  \ 7a \ + \ 7h \ - \ 3; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 7

72. \ \ \ f(a) \  = \  5a^{2}; \ f(a+h) \  =  \ {5a}^{2} \ + \ 10ah \ + \ {5h}^{2}; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 10a \ + \ 5h

Step-by-step explanation:

In single-variable calculus, the difference quotient is the expression

                                              \displaystyle\frac{f(x+h) \ - \ f(x)}{h},

which its name comes from the fact that it is the quotient of the difference of the evaluated values of the function by the difference of its corresponding input values (as shown in the figure below).

This expression looks similar to the method of evaluating the slope of a line. Indeed, the difference quotient provides the slope of a secant line (in blue) that passes through two coordinate points on a curve.

                                             m \ \ = \ \ \displaystyle\frac{\Delta y}{\Delta x} \ \ = \ \ \displaystyle\frac{rise}{run}.

Similarly, the difference quotient is a measure of the average rate of change of the function over an interval. When the limit of the difference quotient is taken as <em>h</em> approaches 0 gives the instantaneous rate of change (rate of change in an instant) or the derivative of the function.

Therefore,

              71. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{(7a \ + \ 7h \ - \ 3) \ - \ (7a \ - \ 3)}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{7h}{h} \\ \\ \-\hspace{4.25cm} = \ \ 7

               72. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{{5(a \ + \ h)}^{2} \ - \ {5(a)}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{{5a}^{2} \ + \ 10ah \ + \ {5h}^{2} \ - \ {5a}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{h(10a \ + \ 5h)}{h} \\ \\ \-\hspace{4.25cm} = \ \ 10a \ + \ 5h

4 0
2 years ago
Please help!!!! 2 questions 50 points!!!!
Zielflug [23.3K]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

<u>The missing angles</u>

  • Both the unknown angles have the same value as the other two angles in the triangles are the same
  • ∠(missing) = 180 - (72 x 2)
  • ∠(missing) = 180 - 144
  • ∠(missing) = 36°

⇒ The sides are <u>equal</u>

⇒ Angles are <u>not 90°</u>

⇒ It is a <u>rhombus</u>

<u></u>

<u>Question 2</u>

  • The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
  • NY = NW (given)
  • XN = NZ (given)
  • ∠XNY = ∠WXZ (vertically opposite angles)
  • ΔXNY ≅ ΔWXZ (SAS)
  • They form <u>two congruent triangles</u> (Statement 2)
  • From these two statements, it is evident the figure is a <u>parallelogram</u>
7 0
2 years ago
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52, and then they charge her
Kisachek [45]

C

first set up an equation

$52+8n ≥ 144

bacause she can spend 144 or less

solve 144-52=92

92/8=11.5

6 0
3 years ago
Do this for me and I will give 42 points, it is 9th grade prob and stats.
Hitman42 [59]

answer what question?

6 0
3 years ago
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