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Marina86 [1]
3 years ago
14

Determine the equation of the line given by the graph.

Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

We can tell by the graph that it has a positive slope. The

y-intercept is at positive 4. Trying to find the next whole number intercept point will be at (-2,0). Count up and over from that point to the y-intercept point, and put it in rise over run form... 5/2 (up 5, over 2). Now apply these known variables into the slope intercept form: y = mx + b.

The final answer is: y = (5/2)x + 5

M is the slope and B is the y-intercept.

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How to solve it in quadratic functions
natita [175]

Answer:

x = 2

x = -3/2 or -1.5

Step-by-step explanation:

For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!

First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.

The equation becomes:

x² - x - 6(2) = 0

x² - x - 12 = 0

Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).

Automatically, think of 3 and 4, because the difference between them is 1.

The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.

This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".

It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)

With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.

6 0
3 years ago
Drag expressions to complete each equation.
irga5000 [103]

Answer:

1st one a^-1 , 2nd one a^b/a^c , 3rd one a^c/b^c

8 0
3 years ago
Read 2 more answers
Find the answer <br><br> A.<br><br> B.<br><br> C.
KATRIN_1 [288]
B. 68
I use the formula A= bh/2 it’s the same thing
8x17 = 136
136/2 = 68
6 0
3 years ago
If there are 25 students in a class and 16 of them are girls, what percent of the students are girls? Please explain.
Kipish [7]

16 out of 25 are girls

16/25

multiply by 4/4

percent means out of 100

64/100

64 percent are girls

7 0
3 years ago
Read 2 more answers
Find the area of a circle circumscribing an equilateral triangle of side 15cm.<br> Take pi = 3.14.
miskamm [114]

Answer:

236 cm²

Step-by-step explanation:

Height of an equilateral triangle (h) = √3 /2 (l)

l = side of the equilateral triangle.

h = √3 /2 (15)

In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot

The center of the circle is the centroid and height match  with the median. The radius of the circumcircle is equal to two thirds the height.

Formula for the Radius of the circumcircle = 2/3 h

= 2/3 x √3 /2 (15)

= 5 √3 cm     (=radius)

Area of the circle = πr^

= 3.14 x( 5 √3 ) ^

=3.14 x(25*3)

=3.14 x 75

=235.5

=236 cm²

8 0
3 years ago
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