Help I’ll give brainliest

the height of a triangle is 2 centimetres more than the base. if the height is increased by 2 centimetres while the base remains

tia_tia [17]

Answer:

Base = 11 cm

Height = 13 cm

Step-by-step explanation:

It is given that the height of a triangle is 2 centimetres more than the base.

Let x cm be the base of triangle. So height of the triangle is x+2 cm.

It is given that if the height is increased by 2 centimetres while the base remains the same, the new area becomes 82.5 centimetres square.

New height = (x+2)+2 = x+4 cm

Area of a triangle is

$A=\dfrac{1}{2}\times base\times height$

$82.5=\dfrac{1}{2}\times x\times (x+4)$

$165=x^2+4x$

$x^2+4x-165=0$

Splitting the middle term, we get

$x^2+15x-11x-165=0$

$x(x+15)-11(x+15)=0$

$(x+15)(x-11)=0$

Using zero product property, we get

$x=-15,11$

Base of a triangle can not be negative, therefore x=11.

Base = 11 cm

Height = 11+2 = 13 cm

Therefore, the base of original triangle is 11 cm and height is 13 cm.

4 0

4 years ago

II 24x2 =52 in What base at the number?

amm1812

Answer: WE are multiplying in base 6

Step-by-step explanation:

24 x 2 = 52 can only be in base 6

because 2¹ 4 2 x 4 = 8/6 = 1 rem 2.

x 2₆ 2 x 2 + 1= 5

5 2

From the above , we can see theta 24 x 2 = 52 can only be in base 6.

Because only 2 x 4 = 12 can be possible in base 6.

Counting in base 6 gives us that after 5, the next number is 10. Just like counting in the common base 10, which after 9 we get 1 0

in Base 10--- 1, 2,3, 4,5, 6,7,8,9,10

in Base 6--- 1, 2, 3,4,5,10,11,12, 13,14 and so o

8 0

3 years ago

Civil society organizations focus efforts on __________.

Lisa [10]

B. finding long-term solutions to poverty and creating a greater quality of life for all people is what the civil society organizations focus at. Hope that helps you.

8 0

4 years ago

Read 2 more answers

On a math quiz, you earn 10 points for each question answered correctly. In the equation below, x represents the number of quest

nadya68 [22]

Answer:

The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)

Step-by-step explanation:

Let

x ----> the number of questions that you answer correctly on this quiz

y ----> the total number of points you score on this quiz

In this problem

The output value or dependent variable is the total number of points you score on this quiz (variable y)

The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)

we have

$y=10x$

This linear equation represent a proportional relationship between the variables x and y

where

k=10

K is the constant of proportionality or slope of the linear equation

3 0

4 years ago

Read 2 more answers

Please help me will mark brainliest

MAVERICK [17]

Answer:

4

-20

-12

Step-by-step explanation:

g(4)

= 4(4)-12

= 16-12

= 4

g(-2)

=4(-2)-12

=-8-12

=-20

g(0)

=4(0)-12

=0-12

=-12

6 0

4 years ago