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vlada-n [284]
2 years ago
14

0 100% Which expression is equivalent to (-11x2 +1.4x-3) + (4x2-2.7x+8)

Mathematics
1 answer:
ratelena [41]2 years ago
3 0
Answer: -(9) - 1.3x

i) Simplify.
(-25 + 1.4x) + (16 - 2.7x)

ii) Combine like-terms.
-(9) - 1.3x
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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
3 years ago
Read 2 more answers
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
5 0
3 years ago
Read 2 more answers
Hello can somedy help me please <br> thank you in advance
alina1380 [7]

Answer:

Area of the circle=πr²

= 3.142 \times  {4}^{2}  \\  = 50.272cm \\  = 50.3cm

4 0
2 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
Alex17521 [72]

Answer:

BC=10

Step-by-step explanation:

BD-BC=14-4=10

4 0
2 years ago
Read 2 more answers
A 5 kW solor energy system can collect 9000 kWh of energy per year. In Arizona, electricity cost eleven cents per kilowatt hour.
Licemer1 [7]

Answer:

19338 kWh

Step-by-step explanation:

In Arizona, electricity cost eleven cents per kilowatt-hour.

The average home uses 66 million BTU per year i.e. 66000000 BTU per year.

Now, it is given in the question that 1 BTU is equivalent to 0.000293 kWh.

So, the average home uses (66000000 × 0.000293) = 19338 kWh per year.

Therefore, the number of kilowatt-hours used per year will be 19338. (Answer)

6 0
3 years ago
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