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Ksju [112]
2 years ago
14

Determine whether 6 is a solution of the equation 2x - 5 = 1.

Mathematics
1 answer:
kupik [55]2 years ago
7 0

Answer:

B

Step-by-step explanation:

To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.

2(6) - 5 = 12 - 5 = 7 ≠ 1

Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)

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(negative infinity, 2] [2,infinity)
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Find the value of x and the measure of the angel labeled 6x. A. X=5; angle measure is 42 B. X=5; angel measure is 72 C. X= 5; an
Sergeu [11.5K]

Answer:

x = 5

angle measure labelled 6x is 30degrees

Step-by-step explanation:

Find the diagram attached

from the diagram;

6x = 30 (vertically opposite angle)

Divide both sides by 6

6x/6 = 30/6

x = 5

Get the angle labelled 6x

6x = 6(5)

6x = 30degrees

4 0
3 years ago
Whats 60 percent of 80
Degger [83]
48 all you had to do was out it in a calculator that's what I did
8 0
3 years ago
Read 2 more answers
Here's a graph of a linear function. Write the
svp [43]

First you need to find the y-intercept, which is y = -1

Next is we need to find the slope of the line > you are going to have to do this by finding to clear point

The ones that I will be using are: (3, 1); (6, 3)   (You could take any points)

Now using the slope formula we could find m.

m = y2-y1 / x2-x1

(1 - 3) / (3 - 6) = m

-2 / -3 = m

m = 2/3

Using the linear function format: y = mx + b

Therefore the equation of the line is y = 2x/3 -1

8 0
3 years ago
Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5
Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

                                = 8 units

CB =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD.  A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So,  we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

6 0
3 years ago
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