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3 years ago

What are the coefficient in this expression? 3y-5x+4

Mathematics

2 answers:

miss Akunina [59]3 years ago

8 0

3 & 5 are the coefficient ones because they are multiplying a variable

Harlamova29_29 [7]3 years ago

5 0

The leading coefficient is -5

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.

lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

$PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ$

Likewise:

$\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ$

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

$m\angle PAC=m\angle PAB+m\angle BAC$

Likewise:

$m\angle QAB=m\angle QAC+m\angle BAC$

Since ∠QAC ≅ ∠PAB:

$m\angle PAC=m\angle QAC+m\angle BAC$

And by substitution:

$m\angle PAC=m\angle QAB$

Thus:

$\angle PAC\cong \angle QAB$

Then by SAS Congruence:

$\Delta PAC\cong \Delta BAQ$

And by CPCTC:

$PC\cong BQ$

5 0

3 years ago

Read 2 more answers

The diagram represents an enlargement of a rectangle by a scale factor of 4.

Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

$\text{Length of enlarged rectangle}=4\times 4\text{ inch}$

$\text{Length of enlarged rectangle}=16\text{ inch}$

$\text{Width of enlarged rectangle}=4\times 2\text{ inch}$

$\text{Width of enlarged rectangle}=8\text{ inch}$

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0

3 years ago

Read 2 more answers

Directions: Find the Surface Area

kenny6666 [7]

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

= 2(6 + 24 + 16)

= 2(46)

= 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

4 0

3 years ago

A TV has a listed price of $708.99 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax inc

lakkis [162]

Answer:

$778.12

Step-by-step explanation:

Before Tax Price: $708.99

Sale Tax: 9.75% or $69.13

After Tax Price: $778.12

3 0

3 years ago

Enter your answer in scientific notation

Oxana [17]

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

<h3>How do scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about $5.1 \times 10 ^9$ km from the sun.

Light travels at about $3.0 \times 10 ^5$ km per second.

$\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}$

= $1.7 \times 10 ^4$

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ1

4 0

2 years ago