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2 years ago

What is the distance between the points (5,5) and (2,9)? Question 3 options: 5 units 25 units 36 units 6 units

1 answer:

7 0

Use distance formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)² )

Here you have x₁ = 5, x₂ = 2, y₁ = 5, y₂ = 9

So that would be √( (5-2)² + (5-9)² ) = √( (3)² + (-4)² ) = √(9+16) = √25 = 5

Final answer: 5 units

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What point(s) are 100units away from point -1? Can you pls respond quickly!

Inessa05 [86]

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

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1 year ago

The annual interest rate of Mike's savings account is 4.8%, and simple interest is calculated monthly. What is the periodic inte

Reptile [31]

The correct option will be: d. 0.4%

For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.

Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.

Annual interest rate is 4.8%

So, the periodic interest rate = $\frac{4.8}{12}= 0.4$ %

5 0

2 years ago

Read 2 more answers

4. x^2+13x=-42

Mrrafil [7]

$x^2+13x=-42\ \ \ |+42\\\\x^2+13x+42=0\\\\x^2+6x+7x+42=0\\\\x(x+6)+7(x+6)=0\\\\(x+6)(x+7)=0\iff x+6=0\ \vee\ x+7=0\\\\x=-6\ \vee\ x=-7$

Anaswer: <span>a. x = -6 or x = -7</span>

8 0

2 years ago

15 POINTS!!!!!!! What is the equation of the line in slope-intercept form? Line on a coordinate plane. Line runs through points

suter [353]

Answer:

$y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

Step-by-step explanation:

Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.

First ordered pair: (-3,0)

Second ordered pair: (0,4)

We have two points and need to find equation of line in slope intercept form

$\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Slope (m)}=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}$

y-intercept, when x=0 , (0,4)

Equation of line in slope intercept form:

y=mx+b

where, $m=\frac{4}{3}$ and b=4

Required equation:

$y=\frac{4}{3}x+4$

Thus, $y=\frac{4}{3}x+4$ is the equation of line in slope intercept form.

3 0

2 years ago

Read 2 more answers

An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the

attashe74 [19]

There is a little-known theorem to solve this problem.

The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.

See the attached triangles for cases 1 and 2. Let x be the length of the third side.

Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm

Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm

The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.

6 0

2 years ago