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cestrela7 [59]
4 years ago
5

Determine the slope and the y-intercept. y = 5x + 6

Mathematics
2 answers:
Cloud [144]4 years ago
7 0
When that equation is graphed, it produces a straiught line.  The slope
of the line is 5, and the line intersects the y-axis at y=6.
kotegsom [21]4 years ago
5 0
All function of type:  y = ax + b

a = slope     b = intersept

So:

slope = 5
intersept = 6
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Laura has a rectangular piece of wood that is 7in by 4in she wants to cover it with strips of ribbon that are 1/4 inch wide what
inn [45]

Answer: 112 inches.

Step-by-step explanation:

You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.

Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

n=\frac{4in}{\frac{1}{4}in}\\\\n=16

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

lenght=(16)(7in)\\lenght=112in

8 0
3 years ago
Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation
Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0
3 years ago
How do make number lines
devlian [24]

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

5 0
3 years ago
Identify the zeros of the polynomial function N(x)=1/2 (x-1)(x+3).
zhannawk [14.2K]

Answer:

a:x=-3

c:x=1

Step-by-step explanation:

The zeros of a function are the values of x for which the value of the function f(x) becomes zero.

In this problem, we have the following function:

f(x)=\frac{1}{2}(x-1)(x+3)

Here we want to find the zeros of the function, i.e. the values of x for which

f(x)=0

In order to make f(x) equal to zero, either one of the factors (x-1) or (x+3) must be equal to zero.

Therefore, the two zeros can be found by requiring that:

1)

x-1=0\\\rightarrow x=+1

2)

x+3=0\\\rightarrow x=-3

So the correct options are

a:x=-3

c:x=1

6 0
3 years ago
Help me please!? Thanks:)
Leviafan [203]

B for the first one,and C for the second

Step-by-step explanation:

i think B,C is the answer

5 0
3 years ago
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