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3 years ago

Classify the polynomial by degree

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

Answer:

Linear polynomial

Step-by-step explanation:

10 + 7x

The highest power of the variable is the degree of the polynomial.

Power of x is 1

Degree of the polynomial is 1

So, it is Linear polynomial

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Which property best justifies why the two expressions below are equivalent?<br> 3(m + 5) = 3m + 15

malfutka [58]

The distribution property is the best justification.

4 0

3 years ago

Read 2 more answers

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

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3 years ago

You pull out the plug from the bathtub. After 30 seconds, there are 13 gallons of water left in the tub. One minute after you pu

kari74 [83]

There were 15 gallons of water to begin with. hope this helps

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3 years ago

Using the Multiplication Property of -1

Papessa [141]

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5

B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31

C. -(4x+12)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(4x+12) * -1 = 4x+12

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3 years ago

Interview someone you know that uses math in their job/career. Which of the following tasks do they complete on a regular basis?

andre [41]

Answer:

I have known a man who uses math in their job/career to do problem solving. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.

Step-by-step explanation:

I have known a man who uses math in their job/career. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.

He mentioned that he normally does a lot of problem solving tasks on a regular basis as he likes to observe the situation logically and then solving accordingly based on critical thinking and logic.

He mentioned some of his problem solving skills using which he tends to do a lot of problem solving tasks. These problem skills are as follows:

Active listening

Analysis

Research

Creativity

Communication

Understanding the logic and implementing it

Logical calculations to solve the problem

Keywords: problem solving, communication, observation

Learn more about problem solving from brainly.com/question/5084258

#learnwithBrainly

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3 years ago