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frez [133]
3 years ago
9

Write the equation of the line that passes through the points (-1,3) and (-6, -7).

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

y - 3 = 2(x + 1)

Step-by-step explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)

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G(t)= t^2 + 3<br> h(t) = 4t – 3<br> Find (g · h)(-1)
MArishka [77]

Answer:

fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.

6 0
3 years ago
The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.
nikdorinn [45]

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

4 0
3 years ago
20 POINTS A landscape artist has drawn the outline of a house. Describe three different ways to make sure the corners of the hou
Andru [333]

Answer:

1. 3-4-5 method

2. Rope method

3. Optical square method

Step-by-step explanation:

1. A measuring tape, two ranging poles, pegs and three person's are needed.

First person holds together btw thumbs and finger the zero mark, the second person holds between thumb and finger the 3m mark on the tape and the third person holds the 8m, when all sides of the rope are stretched, a triangle is formed and angle near one is a right angle.

2. One loop of the rope is placed around peg A with a peg through other loop make a circle on the ground place peg B & C where circle crosses the base line and peg D is place half way between peg B & C, allowing peg D & A to form lines perpendicular to base line thereby forming a right angle.

3 this are simple instruments used to set out right angles and they are single and double prismatic square.

3 0
3 years ago
Stella and Brianna work at a furniture store. Stella is paid $190 per week plus 7% of her total sales in dollars,
sergejj [24]

Answer:

An equation that could be used:

190 + 0.07x = 407 + 0.035x

190 + 0.035× = 407

0.035x = 217

Answer:

x = 6,200

Check:

190 + 0.07(6,200) = 407 + 0.35(6,200)

624 = 624

6 0
3 years ago
Read 2 more answers
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and gard
PSYCHO15rus [73]

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

5 0
3 years ago
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