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Helga [31]
3 years ago
12

A line passes through the point (–2, 7) and has a slope of –5. mc009-1.jpg What is the value of a if the point (a, 2) is also on

the line?

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0
This should help you.

RideAnS [48]3 years ago
6 0

The correct answer is -1


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What is the expression for the below sequence (use n)<br><br> -3,-6,-9,-12
polet [3.4K]

Answer:

a_{n} = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

a_{n} = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

6 0
3 years ago
Determine the y-intercept of the graph of this equation: y - 3 = 2(x + 5)
dimaraw [331]

Answer:

y intercept is 13

Step-by-step explanation:

y - 3 = 2(x + 5)

To find the y intercept, let x=0 and solve for y

y - 3 = 2(0 + 5)

y - 3 = 2(5)

y -3 =10

y-3+3 = 10+3

y = 13

8 0
2 years ago
Suppose you want to fence in some land along the edge of a straight river. the fenced area will be in the shape of a rectangle,
m_a_m_a [10]
For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.

The dimensions are 475 m by 237.5 m.

_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.

7 0
3 years ago
A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?
AysviL [449]

Answer:

<u><em>30cm</em></u>

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

<u><em>Hence the perimeter of the resulting triangle= 10+10+10= 30cm</em></u>

8 0
2 years ago
1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home
mr_godi [17]

Answer:

ok mlol

Step-by-step explanation:

5 0
3 years ago
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