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MAXImum [283]
3 years ago
13

Q

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{10-4}{6-(-6)}

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

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Alex777 [14]
It is the first equation. The 35 dollars she has left, plus the 6 dollars she spent on socks, plus the shoes (X) equal 75. 
The equation is  x+6+32=75
Hope this helps

3 0
3 years ago
Order 2.000 D5W IV to infuse over 12 hoursThe drop factor is 15 gtt/. Calculate the rate in gtt / min
PilotLPTM [1.2K]

Answer:

42gtt/m

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Flow rate in gtt/min = (Total fluid in ml × Drop factor) ÷ (Total hours × 60)

Where, Total fluid in ml = 2,000ml

Drop factor = 15gtt/m

Total hours = 12hours

By putting the following value in the formula, we get

Flow rate in gtt/min = (2,000 × 15) ÷ (12 × 60)

= 30,000 ÷ 720

= 41.67 or 42gtt/m

5 0
3 years ago
The sum of two numbers is -47 the difference is -39 find the numbers
mash [69]

Answer:

x = -43

y = -4

Step-by-step explanation:

In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.

Let's assume the numbers x and y, now we write the expressions.

x + y = -47

x - y = -39

Take the second equation and find x.

<u>Calculations:</u>

x - y = -39 (Add y on both sides)

x = -39 + y

Now that you got the value of x in terms of y, we can substitute.

<u>Calculations:</u>

(-39 + y ) + y = -47

2y - 39 = -47

2y = -8

y = -8/2 = -4

y = -4

Now that we got y, we can substitute that value in any of the equations to find x.

x - 4 = -47 or x + 4 = -39

x = -43

4 0
2 years ago
Read 2 more answers
The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of t
Tresset [83]

Answer: 307.11\ ft

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is 23^{\circ}

Suppose the length of the road is x

From the figure, we can write

\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft

Thus, the length of the road is 307.11\ ft

7 0
2 years ago
The perimeter of a square depends on the length of its sides. Answer the questions below regarding the relationship between the
Alexxandr [17]
The independent variable, x, represents the SIDE LENGTHS, and the dependent variable is the PERIMETER, because the PERIMETER, depends on the SIDE LENGTHS.
5 0
3 years ago
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