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2 years ago

1. In a parallelogram ABCD, AD=12cm. if the altitudes corresponding

Mathematics

1 answer:

olganol [36]2 years ago

6 0

Answer:

10.5 cm

Step-by-step explanation:

area of parallelogram = Bh

12 x 7 = AB x 8

AB = 12x7 / 8 = 21/2 = 10.5

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Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7

lubasha [3.4K]

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

$(y - y_{1} )=m\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

8 0

3 years ago

the third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th g

weeeeeb [17]

179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!

3 0

3 years ago

Find the value of x when <br> 2x = 64

Firlakuza [10]

64/2= 32

x=32

answer is 32

4 0

3 years ago

Read 2 more answers

12. Algebra There are 92 students in the third and fourth grades at Johnsonville Elementary. Of these, 47 are in fourth grade. W

Fudgin [204]

x + 47 = 92. <--- x represents the number of 3rd graders

x +47-47 = 92-47

x=45

There are 45 third grader. Hope this helped!

4 0

3 years ago

Read 2 more answers

The tennis team is having a fundraiser for uniforms for it’s nine players. the total cost for the uniforms is $759.84 and the te

Sonja [21]

Answer:

C. 9x + 224.36 ≥ 759.84

Step-by-step explanation:

If each team member raises x dollars, the 9 team members will have raised 9x dollars. That amount added to the amount they already have must equal or exceed the amount required:

9x + 224.36 ≥ 759.84 . . . . matches selection C

5 0

3 years ago