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Alika [10]
2 years ago
6

What is the justification (reason) for the statement below?

Mathematics
1 answer:
dem82 [27]2 years ago
7 0

Answer:

C. Distributive Property or B. Symmetric Property of Equality

Step-by-step explanation:

You might be interested in
Homework help please I'll give you 10 points and brainliest
DaniilM [7]

Answer:

c)

Step-by-step explanation:

Use 49 instead of 14 for 7²

Reason: 7² = 7 * 7 = 49

Not 14 as 7*2 = 14

6 0
2 years ago
Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Wittaler [7]

Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{2-(-7)}{7-3}

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

2=\frac{63}{4}+b

-\frac{55}{4} =b

The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

y=\frac{9}{4}x-\frac{55}{4}

6 0
3 years ago
Which equations below represent lines that are perpendicular to the line that contains (1, -2) and (3, 4)? (CHECK PICS FOR ANSWE
Gala2k [10]

First, let's find the slope of the line from the points given.

m = (4 - - 2) / (3 - 1)

m = 6 / 2

m = 3

Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.

Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.

Equation 1: Correct

y = -1/3x - 5

Equation 2: Incorrect

y = 3x - 3

Equation 3: Incorrect

y - 2 = 3(x + 1)

y - 2 = 3x + 1

y = 3x + 2

Equation 4: Correct

x + 3y = 9

3y = -x + 9

y = -1/3x + 3

Equation 5: Incorrect

3x + y = -5

y = -3x - 5

Hope this helps!! :)

8 0
2 years ago
Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane conta
Alexandra [31]

Answer: (b) exactly one plane contains a given line and a point not on the line.


Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).


8 0
3 years ago
Read 2 more answers
Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If
nikklg [1K]

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

8 0
2 years ago
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