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Hatshy [7]
3 years ago
12

Solve the system by graphing y=-4x-2 -2x+y=-2 Plot both lines and point of intersection by moving the dots to the correct locati

on
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

The point of intersection is (0,-2).

Step-by-step explanation:

Equation 1: y=-4x-2

Equation 2 : -2x+y=-2

Plot the lines on the graph

Refer the attached figure

Equation 1: y=-4x-2 ---- Red

Equation 2 : -2x+y=-2 ---- Blue

Point of intersection : A point where both the lines intersect is called point of intersection.

So, Both lines intersect at point (0,-2)

So, Point of intersection is (0,-2)

Hence The point of intersection is (0,-2).

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3x + 3y =15 and x = -3y -1
saul85 [17]

Answer:

  (x, y) = (8, -3)

Step-by-step explanation:

You can substitute for x in the first equation:

  3(-3y -1) +3y = 15

  -6y = 18 . . . . . add 3 and simplify

  y = -3 . . . . . . . divide by -6

  x = -3(-3) -1 = 8 . . . . find x using the second equation

The solution to this system of equations is (x, y) = (8, -3).

4 0
3 years ago
150+75x=400+25x<br>For how many hours of service will both companies charge the same amount?
sweet-ann [11.9K]
Just do inverse operation.
7 0
3 years ago
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5
Scrat [10]

Answer:

its the first graph

Step-by-step explanation:

just did it

6 0
3 years ago
16. A company collected funds for charity from employees. The amount donated by some employees on the first day is as
ivolga24 [154]

Answer: Median is the best measure of central tendency best represents the data.

Value of median= 15

Step-by-step explanation:

The given data : $10, $20, $15, $100, $10, $15, $10.

We observe that the above data has an outlier in it .

$100 is an extremely large value as compare to the other values in the data.

It means the data contains outlier.

Commonly , mean is the best measure of the central tendency.

We know that , when there is an outlier in the data , we prefer Median over Mean to measure the central tenancy of the data.

So for the given data set ,

Median is the best measure of central tendency best represents the data.

To find median , first arrange data in an order , we get

10 , 10 , 10 , 15 , 15 , 20 , 100

Number of data values = 7 (odd)

So Median= Middle-most number=  15

Hence, the median of data = 15

5 0
3 years ago
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