All categories

3 years ago

Please help and show work!!

Mathematics

1 answer:

Jlenok [28]3 years ago

5 0

A(1, 1), B(7, 1), C(1, 9)

AB = 7 - 1 = 6

AC = 9 - 1 = 8

Use the Pythagorean theorem:

AB² + AC² = BC²

Substitute:

BC² = 6² + 8²

BC² = 36 + 64

BC² = 100 → BC = √100 → BC = 10

The perimeter of ΔABC:

P = 6 + 8 + 10 = 24

<h3>Answer: 24 units</h3>

You might be interested in

8 divided by 2 times 10 plus 14

BARSIC [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

5 2. Simplify . 5 O 57 O 5-1 o 5 O 57

pantera1 [17]

Answer:

79853709 with the exponent of 94

Step-by-step explanation:

8 0

3 years ago

What is the surface area of a cylinder with the given dimensions? Express your answer to nearest hundredth. Use 3.14 for pi. Rad

Minchanka [31]

The correct answer is D

5 0

3 years ago

Gregory draws a scale drawing of his room. The scale that he uses is 1cm: 4ft. On this drawing, the room is 3cm long. Which equa

stepladder [879]

The equation can be used to find the actual length of Gregory's room is:

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

Solution:

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

$\frac{1}{4} = \frac{x}{3}$

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be $\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

3 0

3 years ago

What is the value of b in the equation (y^-9)^b=y^45?

nevsk [136]

Answer:

b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z

Step-by-step explanation:

Solve for b:

(1/y^9)^b = y^45

Take the logarithm base 1/y^9 of both sides:

Answer: b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z

5 0

4 years ago