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3 years ago

Need help all mult choice show some type of work/proof

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

AD is the diagonal of a 6 by 15 rectangle,

31.

$AD^2 = 6^2+15^2=36+225=261 = 9(29)$

$AD=3 \sqrt{29}$

Choice A

32.

$d^2 = 2^2+3^2=4+9=13$

$d=\sqrt{13}$

Choice A

33.

7 - 4x = 7y

4x + 7y = -7

The parallel through (2,0) keeps the coefficients on x and y and just changes the constant:

4x + 7y = 4(2)+7(0)= 8

7y = -4x + 8

y = (-4/7) x + 8/7

Choice B

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Answer:

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Step-by-step explanation:

7n-18 =5n+6

+18 to both sides

7n=5n+24

-5n from both sides

2n=24

divide by 2

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3 years ago

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Find two numbers a and b whose sum a+b is −1, and whose difference a−b is 1.

fiasKO [112]

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2 years ago

Need understanding how to do this

kkurt [141]

Answer:

102 + (3x +2) = 180 . . . . equation to solve
x = 25 1/3 . . . . . . . . . . . . value of x

Step-by-step explanation:

It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.

Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.

102 + (3x +2) = 180 . . . equation used to solve for x

3x = 76 . . . . . . . . . . . . . subtract 104

x = 76/3 . . . . . . . . . . . . divide by 3

x = 25 1/3 . . . the value of x

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3 years ago

Which of these is a complex number? <br><br> A. <br><br> B. <br><br> C. <br><br> D.

Step2247 [10]

Answer:

option D

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - $\frac{9}{\sqrt{7} }$

2 - $\frac{1}{\sqrt{11} }$

9 + $3\sqrt{\frac{5}{2} }$

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

A Complex Number is a combination of a Real Number and an Imaginary Number

<h3>Example </h3>

a + ib

where a is real number

b is imaginary number

i is 'lota' which is √-1

<h3>So according to the definition above </h3>

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$ is complex number in which

$\frac{8}{3}$ is real part

$\sqrt{\frac{7}{3} } \sqrt{-1}$ = $\sqrt{\frac{7}{3} } i$ is the imaginary part

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3 years ago

What is the definition of an irrational number????

77julia77 [94]

Answer:

the irrational numbers are all the real numbers which are not rational numbers.

Step-by-step explanation:

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3 years ago