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zmey [24]
2 years ago
12

What is the slope of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)left par

enthesis, 9, comma, 3, right parenthesis?
Choose 1 answer:
Mathematics
1 answer:
user100 [1]2 years ago
8 0

Answer:

5/7

Step-by-step explanation:

We have two points ( 2,-2) and (9,3)

We can find the slope using the slope formula

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

   = ( 3- -2)/( 9-2)

   = ( 3+2)/(9-3)

   = 5/7

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Two students used different methods to evaluate 4 1/2 divided by 3/4
telo118 [61]
I think the answer should be 6.
6 0
3 years ago
Which of the following equations is of a parabola with a vertex at (1, 2)?
abruzzese [7]

Answer:

Option 2nd is correct that is y=(x-1)^2+2

Step-by-step explanation:

We have given  the vertices of a parabola

General equation of parabola is:

y=a(x-h)^2+k

Here, (h,k) is vertex of the parabola

Here, h=1  and k=2 and a=1

On substituting the values in the general equation of the parabola we get:

y=1(x-1)^2+2

y=(x-1)^2+2

Therefore, option 2nd is correct.

3 0
3 years ago
3. The width of a rectangle is 4 feet less than the length. The area is
mina [271]

Answer:

L = 6, w = 2

Step-by-step explanation:

Let w = width of rectangle

Let L = length of rectangle

w = L - 4

Area of rectangle = Lw

L (L - 4) = 12

L^2 - 4L = 12

L^2 - 4L - 12 = 0

(L - 6)(L + 2) = 0

L - 6 = 0

L = 6 (the other option doesn't work because dimensions can't be negative)

w = L - 4

w = 6 - 4

w = 2

Double check

A = Lw

A = 6 x 2

A = 12

It matches so we are right.

6 0
2 years ago
Timmy and Ben shared a bag of marbles. Timmy had 3/4 of what Ben had. When Ben gave 36 marbles to Timmy, Ben had 1/3 of what Tim
Svetllana [295]

Let t be the inital number of Timmy's marbles, and b be the inital number of Ben's marbles.

At the beginning, "Timmy had 3/4 of what Ben had", which means

t = \cfrac{3}{4}b  \iff 4t=3b

(I wrote the equation in an equivalent form to avoid denominators)

Then, Ben gives 36 marbles to Timmy. So, now Ben has b-36 marbles, and Timmy has t+36 marbles. The new ratio is 1 to 3 in Timmy's favour, so we have

b-36 = \cfrac{t+36}{3} \iff 3(b-36) = t+36 \iff 3b-108 = t+36

(same as before)

So, we have the following linear system:

\begin{cases}4t=3b\\3b-108=t+36\end{cases}

From the first equation we know that 3b=4t, so the second equation becomes

4t-108=t+36 \iff 3t = 144 \iff t = \cfrac{144}{3} = 48

Now that we know the value for t, we can simply plug it into the first equation to get

3b = 4\times 48 = 192 \iff b=\cfrac{192}{3} = 64

3 0
2 years ago
The angles of a rectangle are equal. always sometimes never
sveta [45]
The angles of a rectangle are equal ALWAYS.

The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.

Just like a rectangle, a square has an angle that is always equal because its angles are all right angles. 


5 0
3 years ago
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