All categories

3 years ago

What is the length of ab and bc ? a= (1,-3) b= (3,-1) C= (5,-3)

Mathematics

1 answer:

ddd [48]3 years ago

5 0

Answer:

the length is (1,3

Step-by-step explanation:

the length is 3,1

You might be interested in

1) A scuba diver dives beneath the surface of the water 34 feet. He swims up 13 feet closer to the surface, then swims back down

Nataliya [291]

1. 0 - 34 + 13 - 5 = -26.....26 ft below the surface

2. y = 15x + 50
220 = 15x + 50
220 - 50 = 15x
170 = 15x
170/15 = x
11 1/3 = x......he worked 11 1/3 hrs.......not sure about this...because it does not specify how many visits he made...but if this was just for 1 visit, then he worked 11 1/3 hrs

8 0

3 years ago

Match the three graphs to the function they represent ?

Mama L [17]

Suppose that a>b>1, then

$a^x>b^x$ and $\log_ax$

Therefore, since 2<3<7, $\log_2x>\log_3x>\log_7x.$

Choose an arbitrary x>1. You have that a takes the greatest values at x, c takes the smallest value at x. Thus,

a>b>c and

$a=\log_2x;$
$b=\log_3x;$
$c=\log_7x.$

Answer: correct option is B.

3 0

3 years ago

There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

3 years ago

Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.

wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

r = 3

m∠1 = 82°

m∠2 = 49°

x = 82°

<h3>How can the radial length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

r = 3

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

m∠1 = 82°

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

m∠2 = 49°

The length of the chord subtended by the arc x is equal to the length of

the chord subtended by 89°, which gives;

x = 82°

Learn more about circle theorems applications here:

brainly.com/question/16879446

4 0

2 years ago

I need help on this. I've no idea about this. Please help me...

Mashcka [7]

Answer:

Answers are below.

Step-by-step explanation:

Hope this helps:)

4 0

2 years ago