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3 years ago

What is the perimeter of triangle ABC12 units13units14units18units

Mathematics

2 answers:

dsp733 years ago

7 0

d 18 units 5+5+8. just add the side lengths

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

The length of side AC can be found by counting the squares between AC: 8.

The length of side BC can be found using the Pythagorean Theorem. B is 3 units to the right of C and 4 units above C. Thus:

|BC| = √(3² + 4²) = √25 = 5.

|AC| has the same length: 5.

Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.

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Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and

Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1, ax + bx + c = 0

L2, dx + ey + f = 0

If $\rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f}$ then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

$\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}$

Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0

2 years ago

Which function has the greatest rate of exponential growth?

Veronika [31]

Answer:

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

4 0

3 years ago

If you put 1/5, 2/3, and 5/8 from least to greatest what are they in order

Volgvan

It would be 1/5, 5/8, 2/3 because 1/5 is 24/120, 2/3 is 80/125, and 5/8 is 75/120

5 0

3 years ago

The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c

Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = $\frac{1}{2} \times3=\frac{3}{2} \ cm$

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = $\frac{1}{3}\ of\ length$

$3=\frac{1}{3}\times length$

By multiplying both sides by 3

$3\times3=\frac{1}{3} \times3\ length\\9= length\\$

Thus, length of prism = 9 cm

Now, as we know:

$Volume\ of\ rectangular\ prism=length\times breadth\times height$

$=9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm$

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0

3 years ago

On the graph shown, what is the slope ?

mr_godi [17]

Answer:

3/4

Step-by-step explanation:

To find the slope using a line on a graph, calculate the difference between two points. To do so, use the formula y2 - y1/x2 - x1.

Two points on this line are (0, -1) and (4, 2). This means:

y2 = 2

y1 = -1

x2 = 4

x1 = 0

Plugging those values in, we get:

2 - (-1)/4 - 0

Evaluating 2 - (-1) and 4 - 0, we get 3/4. Therefore, the slope is 3/4.

8 0

3 years ago

What is the perimeter of triangle ABC12 units13units14units18units​

What is the perimeter of triangle ABC12 units13units14units18units