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il63 [147K]
2 years ago
8

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line

Mathematics
2 answers:
bezimeni [28]2 years ago
6 0
Y-y1=m(x-x1)
for slope=m
a point =(x1,y1)

slope=2
point= (-1,3)
y-3=2(x+1)
y-3=2x+2
y=2x+5
test given points

A.
(1,5)
5=2(1)+5
5=7
false

B.
(1,4)
4=2(1)+5
4=7
false

C.
(-3,2)
2=2(-3)+5
2=-6+5
2=-1
false

D.
(0,5)
5=2(0)+5
5=0+5
5=5
true

answer is D
Harman [31]2 years ago
6 0
The answer would be D. If you graphed this line, you would find that one of the y intercept matches choice D. You can also put this into the slope-intercept equation which is y= 2x +5. So if you plug in the point (0,5), it will look like this: 
5=2(0)+5. The 2 will be 0 so it ends up being 5=5 which is true for this line.


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The length of a rectangle is 5 m longer than its width. If the perimeter of the rectangle is 46 m , find its area.
lys-0071 [83]
The sides of the rectangla are its length and width. We know the length is 5m longer than the width. Since we dont know the width, we can say that the width is x and the length is x+5.

The perimeter, as we know, is equal to the sum of all sides. We have two “length” sides and two “width” sides, so our equation is:

x + x + x+5 + x+5 = 46
Lets add all of this:
4x + 10 = 46
4x = 46-10
4x = 36
x = 36/4
x = 9

So our width is 9m and the length is 14m.

The area of a rectangle is width times length, so:
9*14=126m^2.
3 0
2 years ago
Which are true about the pyramid? Check all that apply.
Travka [436]

The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0
1 year ago
Three times the sum of a number and four is equal to five times the number, decreased by two
vodka [1.7K]
Answer is x=2 bacause u just jave to listen. this is the equation . 3x+4=5x-2. solve
4 0
3 years ago
12.1.33 Question Help Suppose that 62​% of families living in a certain country own an HDTV and 16​% own a computer. The Additio
poizon [28]

Answer:

Step-by-step explanation:

Suppose :

62% own an HDTV

16% own a computer

Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.

The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.

6 0
3 years ago
Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.
Veronika [31]
3 times 100 divided by 15 gives us 20%
6 0
2 years ago
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