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RSB [31]
3 years ago
11

Select whether each statement shows an example of the

Mathematics
2 answers:
Musya8 [376]3 years ago
7 0
1. 8x+20=8x+5 NO
2.21x+14=10x+9 NO
3. 15x+25=15x+25 YES
4.6x+300=6x+300 YES
xz_007 [3.2K]3 years ago
4 0
1.no should b 8x + 20
2.no should be 21x + 14
3.yes
3.yes
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Help pls, Which graph correctly shows point A representing z1 − z2 on a complex plane where z1 and z2 are complex numbers?
Marianna [84]

Answer:

The first diagram is the correct one

Step-by-step explanation:

Notice that the subtraction of two complex numbers (z1- z2) implies the use of the opposite for the real and imaginary part of the complex number that is subtracted (in our case of z2). When we do such, the complex number z2 gets reflected about the origin (0,0), and then the real components of the two numbers get added among themselves and the imaginary components get added among themselves.

The diagram that shows such reflection about the origin [ z2 = 3 + 5 i being converted into -3 - 5 i] and then the combination of real parts [-3 + 5 = 2] and imaginary parts [-5 i - 3 i = - 8 i], is the very first diagram shown.

4 0
3 years ago
Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
lions [1.4K]

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}

(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill

\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}

6 0
2 years ago
Fill in the missing parts. Then determine which bowl contains more sodium.
san4es73 [151]

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

6 0
2 years ago
The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which
Maru [420]

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

<h3>What is a histogram? </h3>

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

To learn more about histograms, please check: brainly.com/question/14473126

#SPJ1

6 0
2 years ago
What is the volume of a square pyramid with base edges of 60 inches and a height of 10 inches?
vichka [17]

Answer:

The volume is 12000 in^3

Step-by-step explanation:

From the question ,

L= 60\:in. and H=10\:in.

The volume of a pyramid is given as

V=\frac{1}{3} \times area\:of\:the\:base \times height

From the question, the base of the pyramid is a square.

Hence base area is given by L^{2}

This implies that the volume of the pyramid is

=\frac{1}{3} \times L^{2}\times H

=\frac{1}{3}\times 60^{2} \times 10

=\frac{36000}{3}

=12000 in^3

6 0
3 years ago
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