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LiRa [457]
3 years ago
10

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer:

y - 5 = -7(x - 8)

Step-by-step explanation:

We can immediately adapt y - k = m(x - h) as follows:  replace m with -7, h with 8 and k with 5, obtaining:

y - 5 = -7(x - 8)

This is the desired equation in point-slope form.

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If a man is driving at a rate of 80 km per hour, how many kilometers will he travel in 30 minutes? A. 30 km B. 40 km C. 60 km D.
Nat2105 [25]

Answer:25

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP!!!!!! TIMED QUESTION!!!! FIRST CORRECT ANSWER WILL GET BRAINLIEST....PLEASE ANSWER NOW!!!!
Margarita [4]

Answer:

Option (3)

Step-by-step explanation:

From the picture attached,

Bar graph sketched shows the grades earned by the students in an exam.

Number of students who achieved the grade A = 17

Number of students who achieved grade B = 14

Number of students with grade C = 5

Number of students with grade D = 9

Total students who took the exam = 17 + 14 + 5 + 9 = 45

Option (1)

"\frac{1}{5} of the students earned a C"

Fraction of students who earned C = \frac{\text{Students who earned C}}{\text{Total students}}

                                                          = \frac{5}{45}

                                                          = \frac{1}{9}

Therefore, this option is incorrect.

Option (2)

"3% more students earned an A then B"

Percentage of students who earned A = \frac{\text{Students got A}}{\text{Total students who took the exam}}\times 100

                                                                = \frac{17}{45}\times 100

                                                                = 37.78%

Percentage of students who earned B = \frac{\text{Students got B}}{\text{Total students who took the exam}}\times 100

                                                                = \frac{14}{45}\times 100

                                                                = 31.11%

Difference in percentage = 37.78 - 31.11

                                          = 6.67%

Therefore, this option is not correct.

Option (3)

"20% of the students earned a D"

Percentage of students who earned D = \frac{\text{Students got D}}{\text{Total students who took the exam}}\times 100

                                                                 = \frac{9}{45}\times 100

                                                                 = 20%

Option (3) is the correct option.

Option (4)

" \frac{1}{4} of the class earned a B"

Fraction of class who earned B = \frac{\text{Students got B}}{\text{Total students who took the exam}}

                                                    = \frac{14}{45}

Therefore, Option (4) is not correct.                                        

6 0
3 years ago
7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0
2 years ago
0.30 meters to customary units of length
Vlada [557]
 It would be .98 feet or 11.81 inches
8 0
3 years ago
15. • Solve the simultaneous equations
tamaranim1 [39]
Answer:
B. 1 and -2
Explanation:
First, add up the equations:
x-x+3y+y=4
4y=4
y=1
Now, plug y into any of the original equations above and solve for x:
-x+1=3
-x=2
x=-2
Therefore, the answer is B. 1 and -2
5 0
3 years ago
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