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4 years ago

Which of these points lies on the line described by the equation below?

Mathematics

1 answer:

Taya2010 [7]4 years ago

8 0

Answer:

Step-by-step explanation:

The slope-point form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

We have the equation:

$y-4=-2(x-6)$

hence

$m=-2,\ x_1=6,\ y_1=4\to(6,\ 4)$

Check other points:

Substitute the coordinates of the points into the equation and check the equality:

A. (-6, -4)

-4 - 4 = -2(-6 - 6)

-8 = 24 FALSE

C. (-4, -6)

-6 - 4 = -2(-4 - 6)

-10 = 20 FALSE

D. (4, 6)

6 - 4 = -2(4 - 6)

2 = 4 FALSE

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Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral ar

Ymorist [56]

Let
p ----------------> is the perimeter of the base
h ---------------> is the height
BA-------------> is the area of the bases
LA--------------> is the lateral area

we know that surface area is the sum of base areas plus lateral areas
then
SA=[BA]+P*h
but remember that
LA=P*h
then
SA=[BA]+LA----------> SA=BA+LA

the answer are the options B.) SA=BA+LA and the option D.) SA=BA+ph

7 0

3 years ago

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A geologist visits 90 volcanoes in Alaska and California

Viktor [21]

Answer:

40 volcanoes = 100% of them 15% were in California so if we want to know how much % were in Alaska we do 100% - 15% which equals 85%, so 85% were in Alaska. Now to find out how many the geologist visited in each state multiply 40 by the percentage. Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34

Step-by-step explanation:

4 0

2 years ago

Help? a) 2/10 + 8/100 b) 13/100 + 4/10 c) 6/10 + 39/100 D) 70/100 + 3/10

Leni [432]

$\green{––––––––––––––––––––––––––––––}$

$\huge\red{\boxed{\tt{{«ANSWER»}}}}$

A) 2/10 + 8/100 = 0.28
B) 13/100 + 4/10 = 0.53
C) 6/10 + 39/100 = 0.99
D) 70/100 + 3/10 = 1

 $\green{––––––––––––––––––––––––––––––}$ 

#carry on learning <3

5 0

2 years ago

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

dmitriy555 [2]

A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0 (quadratic equation)

2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0 (not a quadratic equation)

5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4 (quadratic equation)

5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0 (not a quadratic equation)

Therefore, options a and c can be solved using the quadratic formula.

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3 years ago

4 more than the quotient of 7 and m

tangare [24]

Answer:

4+ 7/m

Step-by-step explanation:

there might be parentheses but this is what the expression would look like

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3 years ago

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