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serg [7]
3 years ago
6

How do you factor 0 = 4x2 + 2x – 30?

Mathematics
2 answers:
Wewaii [24]3 years ago
6 0

Answer:

x= 5/2, x= -3

4x^2+2x-30=0;  Factor that without the 0. Then you get 2 (2x-5) (x+3)=0.

2x-5=0 x= 5/2

x+3=0 x= -3

Hope this helps! :D

JulijaS [17]3 years ago
5 0
The answer is x = 11

first you multiply the numbers
0= 8 + 2x- 30

then you calculate that difference
0= -22+ 2x

then move variable to the left
-2x= -22

divide
x= 11
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Which points can be connected to draw a line of symmetry through this diamond?
Makovka662 [10]

The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

<h3>What is a line of symmetry?</h3>

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

Learn more about the line of symmetry here:

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5 0
2 years ago
A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters.
Darya [45]

Answer:

Step-by-step explanation: Your answer will be -10 because even though -10 is much lower than 15 it’s still closer to sea level.

3 0
2 years ago
Please help!!!
Andru [333]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Moonshine Problem: How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100
Sindrei [870]

Answer:

50 gallons 20%

50 gallons 30%

Step-by-step explanation:

If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:

x + y = 100

0.20x + 0.30y = 0.25(100)

Solve the system of equations using substitution or elimination.  Using substitution:

0.20x + 0.30(100 − x) = 0.25(100)

0.20x + 30 − 0.30x = 25

5 = 0.10x

x = 50

y = 50

3 0
4 years ago
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
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