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VARVARA [1.3K]
3 years ago
14

Write the equation of the line fully slope-intercept form.

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

The answer should be y=2x-4.

Step-by-step explanation:

The slope of the line (rise/run) is 2/1, or 2, and the y-intercept is -4.

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Solve the system of equations using the substitution method. y=2+1/4x,
skelet666 [1.2K]

Answer: (4,3)


Step-by-step explanation:

1. In this method you must solve one of the equation for one of the variables and substitute it into the other equation to find the other variable. Then, substitute the value of that variable into one of the original equation to obtain the value of the other one.

2 You have that:

y=2+1/4x

3. Then, you can substitute it into the other equation and solve for x:

3x-5(2+1/4x)=-3\\3x-10-5/4x=-3\\7/4x=7\\x=4

4. Now you can obtain y:

y=2+1/4x

y=2+1/4(4)\\y=3

5. The answer is:

(4,3)



6 0
3 years ago
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
ElenaW [278]

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

8 0
2 years ago
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