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Aleonysh [2.5K]
3 years ago
7

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Sidana [21]3 years ago
6 0

Answer:

\Huge \boxed{8x^2 +5y+1}

\rule[225]{225}{2}

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Grouping like terms.

7x^2 +x^2+2y +3y +3+1 -3

(7x^2 +x^2)+(2y +3y) +(3+1 -3)

Combining like terms.

8x^2 +5y+1

\rule[225]{225}{2}

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Use the drawing tool(s) to form the correct answer on the provided graph.
NikAS [45]

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

6 0
3 years ago
An ad for a laptop claims that the laptop weighs 10% less than its main competitor. If the competitor's laptop weighs 1.1 kilos,
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You roll 2 dice what is the probability that the sum of the dice is greater than 8 and that one die shows a six
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HELPPPP MEEE PLSSS To solve the system given below using substitution, it is best to start by
Lapatulllka [165]

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In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

Thus, arc length is 11.30 feet

7 0
3 years ago
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