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icang [17]
3 years ago
6

Write down the solution to these simultaneous equations. y=2x + 1 and y= 0.5x - 2

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

(-2, -3)

Step-by-step explanation:

y=2x + 1

y= 0.5x - 2

2x+1= 0.5x -2

1.5x= -3

x= -2

y= 2x+ 1

y= 2(-2)+1

y= -3

The solution is (-2,-3)

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The figure below shows rectangle ABCD with diagonals segment AC and segment DB:
djverab [1.8K]

Answer:

segment BC ≅ segment BC (reflexive property of congruence)  

Step-by-step explanation:

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

Before statement 6, you need to prove that side BC is the same for both triangles

4 0
3 years ago
Read 2 more answers
How do I solve this..... plz help!!!! What is the answer????
hodyreva [135]
5x-9=18
Add 9 to both sides
5x-9+9= 18+9
5x= 27
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4 0
2 years ago
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In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Choose the correct simplification of the expression a2 ⋅ a3.
Andreyy89

Answer:

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Step-by-step explanation:

( thats a to the 5th power. )

6 0
3 years ago
Which could be the name of a point?<br><br> A. T<br><br> B. 1 <br><br> C. t <br><br> D.m
azamat

Answer:

A. T

Step-by-step explanation:


6 0
3 years ago
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