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eimsori [14]
3 years ago
15

Plz explain how you got the answer

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Looking at the coordinates of the points, we can see that PQ is 4 units.


Since both P and Q have the same y coordinate, we can now start to look at the x coordinate. Since they have the same y coordinate, that means that to find the length of the segment, we have to take the absolute value of the subtraction of the coordinates of the x value of each of the points. -3 - 1 is -4. The absolute value of -4 is 4, meaning that PQ is 4 units long.

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What is the third measure of a triangle who’s angles are 37 and 61
Makovka662 [10]

Answer:

37+61+x=180

98+x=180

x=180-98

x=82°

the third angle is 82°

7 0
3 years ago
Read 2 more answers
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
asambeis [7]

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

OR

x - 12 = 0

x = 12

6 0
3 years ago
If there are 12 boys and 20 students, write as a ratio for boys to students in 3 ways.
ruslelena [56]

12:20

6:10

3:5

Hope that helps :)

3 0
3 years ago
What is the y-intercept of the line perpendicular to (1,1) and (-3,-1) and passes through (-3,-2)
marin [14]

Answer:

-8

Step-by-step explanation:

Let's first establish the reference line (the one that the second line will be perpendicular to).  We are told that this line passes through two points:

(1,1) and (-3,-1).

We'll find a line equation using the point slope form format to start:  

(y - y1) = m * (x - x1), where m is the slope and the x and y are from two points.

(x,y) = (1,1)

(x1,y1) = (-3,-1)

Rearrange the equation:

(y - y1) = m * (x - x1)

m = (y - y1)/ (x - x1)

m = (1-(-1))/(1-(-3))

m = 2/4, or 1/2:  The slope is 1/2.    [<u>This is "m."]</u>

We can use the slope-intercept form for this line (y=mx + b) and then calculate b, the y-intercept:

y = (1/2)x + b

Use either of the two given points.  I'll use (1,1) since I have memorized the "1" math tables.

y = (1/2)x + b  

1 = (1/2)(1) + b for (1,1)

b = 1/2

This makes the reference line:  y = (1/2)x+(1/2)

===

The line perpendicular must have a slope that is the negative inverse of (1/2).  This would be -(2/1), or -2.

We can then write y = -2x + b

To find be, enter the one given point for this line:  (-3,-2)

y = -2x + b

-2 = -2(-3) + b

-2 = 6 + b

b = -8

The perpendicular line is thus:

y = -2x - 8

It has a y-intercept of -8

5 0
2 years ago
Steve invests 1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the value of the account aft
Vlada [557]

Answer: the value of the account after 10 years is $2606

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 1800

r = 3.7% = 3.7/100 = 0.037

t = 10 years

Therefore,

A = 1800 x 2.7183^(0.037 x 10)

A = 1800 x 2.7183^(0.37)

A = $2606 to the nearest dollar

8 0
3 years ago
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