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2 years ago

At a table tennis club, the ratio of boys to girls was 6:5. If there were

Mathematics

1 answer:

Korolek [52]2 years ago

7 0

Answer:

60 boys because the the girls will be

You might be interested in

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago

Right answer gets brainlist

jok3333 [9.3K]

Answer:

there ain't nun to answer here

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).

ololo11 [35]

Answer:

step1 - distributive property

step2 - associative property

step3 - cumulative property

step4 - associative property

Step-by-step explanation:

3 0

3 years ago

Use inverse operations to solve each equation. Explain each step and identify the property used to reach each step.

maks197457 [2]

Hello,

The inverse operation's are easy.

is would be h/3-8=19

Hope this helps

5 0

3 years ago

Read 2 more answers

Find the equation of the circle: y-intercepts 4 and –8, contain (–12, –8)

laila [671]

Answer:

(x +6)^2 +(y +2)^2 = 72

Step-by-step explanation:

The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:

((0, 4) +(-12, -8))/2 = (-6, -2)

The equation of a circle with center (h, k) through point (a, b) is ...

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

For center (-6, -2) and point (0, 4), the equation is ...

(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2

(x +6)^2 +(y +2)^2 = 72

6 0

3 years ago