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bekas [8.4K]
2 years ago
12

The gradient of A(6,2) B(3,-3)

Mathematics
1 answer:
Anestetic [448]2 years ago
7 0

Answer:

\sf  gradient: \dfrac{5}{3}

Explanation:

\sf slope/gradient: \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

Given points: A(6,2), B(3,-3)

\rightarrow \sf  slope: \dfrac{-3-2}{3-6}

\rightarrow \sf  slope: \dfrac{-5}{-3}

\rightarrow \sf  slope: \dfrac{5}{3}

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Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg. How many toys did
Vilka [71]

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

Let the number of toys Dima has = z

Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

Oleg, Sasha, and Dima shared 600 toys

x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

x + y + z = 600

x + 2x + x + 40 = 600

4x + 40 = 600

Subtract 40 on both sides

4x =  600 - 40

Divide by 4 on both sides

x = \frac{560}{4} = 140

Oleg had 140 toys

4 0
4 years ago
Hair Color Boys Girls
pentagon [3]

Answer:

B) 0.45

Step-by-step explanation:

The total number of students is:

4 + 5 + 4 + 6 + 10 + 8 + 2 + 1 = 40

The number of students with brown hair is 10 + 8 = 18.

So the probability is:

P = 18/40 = 0.45

4 0
4 years ago
Read 2 more answers
A set of data items in normally distributed with a mean of 400 & a standard deviation of 40. Find the data item in this dist
kumpel [21]
-6.3=\dfrac{x-400}{40}\implies x=148
6 0
3 years ago
What is the result of adding these two equations 8x-4y=-4 -3x+4y=5
Sergeeva-Olga [200]

Answer:

8x-4y=-4

-3x+4y=5

+

-----------------(adding equation)

5x=9

is a required answer

6 0
3 years ago
Oakland Middle school has 128 6th graders, 121 7th graders and 135 8th graders. If there are 3 teachers per 32 students, how man
zepelin [54]

Answer:

36 Teachers in Total

Step-by-step explanation:

I would use Ratio.

Students: 128 + 121 + 135 = 384 total students

Teachers: Students

3 : 32

36 : 384

384 ÷ 32 = 12

12 x 3 = 36

6 0
3 years ago
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