All categories

2 years ago

The coordinates of the vertices of AJKL are J(0, 2), K(3, 1), and L(1, – 5).

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

9514 1404 393

Answer:

JK slope: -1/3
KL slope: 3
JL slope: -7
is
two of the slopes have a product of -1

Step-by-step explanation:

The slope formula is useful.

m = (y2 -y1)/(x2 -x1)

JK slope = (1 -2)/(3 -1) = -1/3

KL slope = (-5-1)/(1-3) = -6/-2 = 3

JL slope = (-5-2)/(1-0) = -7

We observe that slopes (-1/3) and (3) have a product of -1, so those line segments are perpendicular. The triangle is a right triangle.

You might be interested in

Please hurry I need to pass this class

Dvinal [7]

Answer:

$\displaystyle m=\frac{-3}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(0, 8)

Point B(4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-8}{4-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{4}$

4 0

2 years ago

Identity the slope and y-intercept (-2,-3) (0,5)

kiruha [24]

Answer:

slope (m) = 4

y intercept is -3 and 5

5 0

2 years ago

What is the solution to the system of equations shown below?

Alexxandr [17]

Answer:

b. (1, 3, -2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

a: -1 -5(1) +2(-4) = -14 ≠ -18

b: 1 -5(3) +2(-2) = -18 . . . . potential choice

c: 3 -5(8) +2(1) = -35 ≠ -18

d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0

3 years ago

All of these statements are true EXCEPT which one? A.

Zolol [24]

Answer:

Optio a is rhe right one

i m not sure

6 0

3 years ago

Read 2 more answers

Jaquez earns money by doing yard work. It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the l

vodomira [7]

Answer:

Step-by-step explanation:

Let x = number of hours to pull weed in a day

Let y = number of hours to now lawn in a day

It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.

This means

3x + 2.5y is lesser than/ equal to 8

She charges $50 to weed and $65 to mow the lawn.

This means she charges

50x +65y

She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120

50x + 65y greater than or equal to 120

4 0

3 years ago