All categories

2 years ago

Write the equation of the line in slope-intercept form that has a slope of -1/2 and goes through the point (2,3)

1 answer:

7 0

ANSWER : y=-1/2x+4
Y=mx+c
Gradient = y2-y1/x2-x1
Gradient = -1/2 as mentioned
y=-1/2x+c
Pick (2,3) 2 as x variable and 3 as y
3=-1/2(2)+c
3=-1+c
3+1=c
4=c
Equation y=-1/2x+4

You might be interested in

Two parallelograms are similar. The base of the first is 12cm, and its height is 8 cm. Find the base of the second parallelogram

bearhunter [10]

Answer:

The base of the second parallelogram is 51cm.

Step-by-step explanation:

If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:

$\frac{34}{8}=4.25$

Apply this same scale factor to the base of the first shape to find the base of the second:

$12 \times 4.25=51$

7 0

3 years ago

Name the types of angles shown.

LuckyWell [14K]

Answer:

supplementary and straight

Step-by-step explanation:

1. angle D and angle B add up to make a 180 degree angle so they are supplementary.

2. A and C each equal 180 degrees (straight angle= 180 degrees)

3 0

3 years ago

What number two numbers when multiplied equal 24 but when added equal -4

madam [21]

Since it says when Added they are a negative and when multiplied they are positive, we know our two numbers are negative.
think of all multiples of 24
6 and 4
8 and 3
12 and 2
24 and 1
however, none of our choices here would be correct.

5 0

3 years ago

Determine if the following system of equations has no solutions, infinitely many

DochEvi [55]

Answer:

There is one solution

Step-by-step explanation:

2x + y = -1

8x + 3y = -2

Multiply the first equation by -4

-8x -4y = 4

Then add the equations together to eliminate x

-8x -4y = 4

8x + 3y = -2

--------------------

-y = 2

Multiply by -1

y =-2

Now find x

2x+y =-1

2x+-2 =-1

Add 2 to each side

2x-2+2=-1+2

2x=1

Divide by 2

x = 1/2

8 0

2 years ago

Please help me first thinks

katrin2010 [14]

Answer:

3 minutes

5 minutes.

Step-by-step explanation:

It is given that, Amelia can wash 8 plates in 24 minutes.

So, if this rate remains constant then 1 plate will be washed in $\frac{24}{8} = 3$ minutes.

Again, it is given that, Amelia bakes 12 cookies in 60 minutes.

So, if this rate also remains constant then she will bake 1 cookie in $\frac{60}{12} = 5$ minutes. ( Answer )

7 0

3 years ago