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Naily [24]
3 years ago
7

Can someone help me with 13,14,15 and 16 please

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer: -3/5, 18/32, -10/11, and horizontal.

Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ,  you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.

y¹-y²       Δy           3-6            -3

------  or  ----   so   -------   =    -----    The slope is represented by -3/5x    

x¹-x²       Δx           4-(-1)           5

__________________________________________________________

For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.

 11-(-7)       18          

---------  = -------  

 29-(-3)     32      

___________________________________________________________

For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.

7-17        -10

------ =   -------   The slope is -10/11x

11-0          11

___________________________________________________________

4-4            0

------   =  --------  

6-(-9)        15

Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.

I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.

Sincerely,

Lacia :))

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DochEvi [55]

Sally earns per hour = $12

Sally works for in a week = 16 hours.

So, Sally earns in a week = 12\times16=192

Sally can save money each week= 20% of 192

\frac{20}{100}\times192=38.40

A. How much does she earn each week ? Sally earns $192 in a week.

B. How much money will she save each week? Sally will save $38.40 each week.

C. How much money will she save each month (assume there are 4.3 weeks in a month)

Savings of 1 week = $ 38.40

Savings of 4.3 weeks = 4.3\times38.40=165.12

Hence, she will save $165.12 in a month.

D. How many months will it take her to save the money?

Total money needed = $1800

Number of months needed to collect this amount =

\frac{1800}{165.12}=10.90

Hence, it will take 11 months approx to save $1800.



5 0
3 years ago
Chris got 28 out of 35 correct in his test.<br> What fraction of the marks did he get correct?
beks73 [17]

Answer:

4/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest
Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

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3 years ago
If h(x)=6-x,which is the value of (h*h)(10)
Andrews [41]

Answer:

16

* usually means multiplication

If you have an open circle there instead, please inform me.

Step-by-step explanation:

* usually means multiplication

If you had an open circle there, please let me know.

Find h(10) and then multiply that answer to itself.

h(10)=6-10=-4

So the answer is -4*-4=16

7 0
3 years ago
What is the area of the figure?
Vanyuwa [196]

Answer: 42.5 m

Step-by-step explanation:

Split the figure into a rectangle and a triangle.

Find the areas of the rectangle and the triangle seperately and add them together.

Rectangle: 7 x 5 = 35

Triangle: 5 x 3/2 = 7.5

35+7.5= 42.5m

8 0
3 years ago
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