All categories

2 years ago

Which of the following is the equation of a line that has a slope of -2 and passes through the

Mathematics

2 answers:

Eddi Din [679]2 years ago

4 0

Answer: B. (y=-2x+8)

explanation: use slope point intercept
y-y1=m(x-x1)
y-6=-2(x-1)
y-6=-2x+2
y=-2x+8

KATRIN_1 [288]2 years ago

3 0

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

You might be interested in

2x + 5y - 3x + 11y =

Nitella [24]

Answer:

− x + 16y

Step-by-step explanation:

2x + 5y − 3x + 11y

= 2x + 5y + − 3x + 11y

Combine Like Terms:

= 2x + 5y + − 3x + 11y

= (2x + − 3x) + (5y + 11y)

= − x + 16y

7 0

3 years ago

If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13

trasher [3.6K]

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0

3 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

3 years ago

Read 2 more answers

Please help me with 10-12 +BONUS

dedylja [7]

Hi!

10.

This question is basically asking you, 10 is 40% of what number?

10 × 100 / 40 = 25

Fred must do 25 math problems.

12.

Bed & Bath = 40%

Clothing = 0.625 = 62.5%

Appliances = 20%

Electronics = 0.25 = 25%

Least to Greatest: Appliances (20%), Electronics (25%), Bed & Bath (40%), Clothing (62.5%).

4 0

3 years ago

Solve the following systems b elemination show work and explain each step 3x + y = 13 4x - 3y = 13

Alika [10]

Answer:

x = 4

y = 1

Step-by-step explanation:

Here, we want to solve the system of equation using elimination method

We have this as follows;

3x + y = 13

4x- 3y = 13

Multiply equation 1 by 3

9x + 3y = 39

4x-3y = 13

Add the two equations

13x = 52

x = 52/13

x = 4

From equation 1;

3x + y = 13

y = 13-3x

y = 13-3(4)

y = 13-12 = 1

5 0

2 years ago