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4 years ago

What is the sum of the polynomials? (m + n + 3) + (m + n + 4)?

Mathematics

2 answers:

kvv77 [185]4 years ago

8 0

Answer:

The sum of of the polynomials (m + n + 3) + (m + n + 4) is<u> </u><u>2m + 2n +7</u>

Step-by-step explanation:

The given expression is (m + n + 3) + (m + n + 4)

we need to find the sum of this expression

so, first we add the similar terms

m + n + 3 + m + n + 4

first write the like term together and then constant,

⇒ m + m + n + n +3 + 4

⇒ 2m + 2n +3 + 4

⇒ 2m + 2n +7

Therefore, The sum of of the polynomials (m + n + 3) + (m + n + 4) is<u> </u><u>2m + 2n +7</u>

Margarita [4]4 years ago

6 0

2m+2n+7 is the answer to that

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Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ $\frac{AB}{DE}=\frac{4}{2}=2$

∵ BC = 6 units

∵ EF = 3 units

∴ $\frac{BC}{EF}=\frac{6}{3}=2$

∵ CA = 2 units

∵ FD = 1 units

∴ $\frac{CA}{FD}=\frac{2}{1}=2$

∴ $\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2$

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

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3 years ago

Please help! calculate the maximum volume of the box.

lina2011 [118]

Have you used the length*width*height?

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3 years ago

Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

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The distance CD is 16.5.

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4 years ago

0.9 written as a fraction

Marianna [84]

Answer:

9/10

Step-by-step explanation:

90%

6 0

3 years ago

Read 2 more answers

What is the parallel slope intercept form pls help?

malfutka [58]

<h2>Answer:</h2>

If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.

$-1 = 4(4) + b\\\\-1 = 16 + b\\\\-17 = b$

Now that we have the y-intercept, we can create the equation.

$y = 4x - 17$

We can prove this by graphing both lines, like so.

8 0

3 years ago