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stiks02 [169]
3 years ago
10

Determine the value of r so that line through. -2,5 and 6,r has a slope of -3,2

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

R=10

Step-by-step explanation:

-2×-3=6

R=5×2

=10

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8 0
3 years ago
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how
antoniya [11.8K]

Complete Question:

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.

1. y = 3x + b

2. y = mx + 9

Answer:

1. Intercept, b = -1

2. Slope, m = -2

Step-by-step explanation:

Given the following data;

Points on the line (x, y) = (2, 5)

To find the missing values;

Mathematically, the equation of a straight line is given by the formula;

y = mx + b

Where;

  • m is the slope.
  • x and y are the points
  • b is the intercept.

1. y = 3x + b

Substituting the value of x and y, we have;

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

<em>Intercept, b = -1</em>

2. y = mx + 9

Substituting the value of x and y, we have;

5 = m(2) + 9

5 = 2m + 9

2m = 5 - 9

2m = -4

m = -4/2

<em>Slope, m = -2</em>

6 0
3 years ago
Can someone help me with this problem<br><br> 7.984 ÷ 1.99
kiruha [24]

Answer: 4.012

Step-by-step explanation: Hope this helps! :)

3 0
3 years ago
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximat
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Answer:

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6 0
3 years ago
These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?
Veronika [31]

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}

\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}

\frac{7}{4}=\frac{4}{7}=\frac{7}{4}

But \frac{7}{4}\neq \frac{4}{7}.

Therefore, this option is not the answer.

Option (2),

\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}

\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}

\frac{4}{7}=\frac{7}{4}=\frac{7}{4}

But \frac{4}{7}\neq \frac{7}{4},

Therefore, this option is not the option.

Option (3),

\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}

\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}

\frac{7}{4}=\frac{7}{4}=\frac{7}{4}

Therefore, this option is the answer.

Option (4),

\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}

\frac{4}{7}=\frac{4}{7}=\frac{10}{21}

But, \frac{4}{7}\neq \frac{10}{21}

Therefore, this is not the correct option.

8 0
3 years ago
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