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Sever21 [200]
2 years ago
5

Consider the equation y = 3x - 1 Identify the slope and y-intercept and sketch the graph.

Mathematics
1 answer:
deff fn [24]2 years ago
8 0
The slope will be the number that always sits next to x. So the slope in this case is 3/1. Which is rise over run. If it was a fraction, like 1/3, that would mean that the slope is rise one, run three.
If you want to find the y-intercept, you do that by putting a zero in for x, so you want to find the point that the line intersects the y-axis. So x would be zero, and wherever that point is is the y-intercept. In this case:
y = 3x - 1

y = 3(0) - 1

3 times 0 is zero

y = - 1 So, the y-intercept is - 1, or (0,-1)


To sketch the graph, you just place any number in for x or y (x is easier in this case), and solve it.
For example, I am going to say that x equals two.

y = 3(2)-1

y = 6-1

y = 5

So, your point to put on the graph would be (2,5) (x,y)
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A triangle has a perimeter of 165cm the first side is 65 cm less than twice the second side the third side is 10 cm less than th
katrin2010 [14]

Answer:

The sides of the triangle are:

Second side = 60 cm

First side = 55 cm

Third side = 50 cm

The perimeter equation can be given as:

4s-75=165

Step-by-step explanation:

Given:

Perimeter of triangle = 165 cm

First side = 65 cm less than twice the second side

Third side = 10 cm less than the second side

To find length of each side and write the equation that represents the perimeter of triangle.

Solution:

Let length of second side be = s cm

First side will be given as = (2s-65) cm

Third side will be given as =  (s-10) cm

Perimeter of triangle = Sum of all sides

Thus, perimeter can be given as:

⇒ First\ side+ Second\ side+Third\ side

⇒ 2s-65+s+s-10

Simplifying by combining like terms.

⇒ 4s-75

We know the perimeter of triangle = 165 cm

So, the perimeter equation can be given as:

4s-75=165

Solving for s.

Adding 75 both sides.

4s-75+75=165+75

4s=240

Dividing both sides by 4.

\frac{4s}{4}=\frac{240}{4}

s=60

Thus, the sides of the triangle are:

Second side = 60 cm

First side = 2(60)-65 = 55 cm

Third side = 60-10 = 50 cm

5 0
3 years ago
Determine the measure of angle b, and describe the relationship between the two angles shown.
Lana71 [14]

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

5 0
2 years ago
Write the equation of the given line in slope intercept form (2,3) (8,6)
Dominik [7]

Answer:

y = 1/2x + 2

Step-by-step explanation:

slope:

6 - 3 / 8 - 2 = 3 / 6 = 1/2

start by putting it in point slope form and then simplify it to slope intercept form:

y - 3 = 1/2(x - 2)

y - 3 = 1/2x - 1

y = 1/2x + 2

7 0
2 years ago
Please help! I need answers in begging !
Levart [38]

Answer:

2866

Step-by-step explanation:

10000-7134=2866

so 7134+2866=10000

7 0
3 years ago
Please solve for the hypotenuse of a right triangle having legs 6 and 8. *
Arturiano [62]

Answer:

10

Step-by-step explanation:

6²+8²

=100

√100

=10

6 0
3 years ago
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