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2 years ago

523 - 99 = 324 424 262 622

Mathematics

1 answer:

givi [52]2 years ago

8 0

523 - 99 = 424
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What is the area of the shaded part?

iVinArrow [24]

Answer:

Step-by-step explanation:

(8x-3)^2-x^2

64x^2-48x+9-x^2

63x^2-48x+9

8 0

2 years ago

(2,0) (4,5) write an equation that represents the line

Yuliya22 [10]

Answer:

the equation of the line in slope-intercept form would be y=5/2x-5

Step-by-step explanation:

hope this helped!! :D

4 0

2 years ago

Someone Please Help Quickly! Its an Easy Question

Paul [167]

Answer:

$y=\frac{2}{3}x-6$

Step-by-step explanation:

Use the slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

$b=-6$

$y-intercept=(0,-6)$

To find the slope, take any two points from the line:

$(6,-2)(3,-4)$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

$(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})$

$\frac{-4-(-2)}{3-6}$

Simplify parentheses (two negatives makes a positive):

$\frac{-4+2}{3-6}$

$\frac{-2}{-3}$

Simplify (two negatives make a positive):

$m=\frac{2}{3}$

The slope is $\frac{2}{3}$ and the y-intercept is $-6$ . Insert these into the equation:

$y=\frac{2}{3}x-6$

Finito.

7 0

2 years ago

if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food

kap26 [50]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

6 0

2 years ago

What is the equation of the line in the following graph? 1)y=x+2

Levart [38]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ <em>subtract 2 from both sides</em>

$-2=b\to b=-2$

Answer: $\boxed{y=x-2}\to\boxed{3)}$

8 0

3 years ago