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3 years ago

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?

Mathematics

1 answer:

bearhunter [10]3 years ago

4 0

The first equation, 2x+y-8=0 :)

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Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

A city is building a new pool in time for summer! A scale drawing of the pool is given. What is the area, in square feet, of the

Colt1911 [192]

Answer:

144 ft

Step-by-step explanation:

I took a math test and I got this question wrong I saw my results and the answer was 144 ft I swear this is the correct answer.

If its correct please mark me as brainliest

3 0

2 years ago

Find the difference. Express your answer in simplest form. z-7/z+8-(-2z-7)/z+8

Levart [38]

Answer:

z^2x+10zx+8z^2+73z+7z/(z+8)(z+8)

(IMAGE DOWN BELOW)

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

3 0

2 years ago

Given f (x) = 2×-2÷4, solve for f^1 (3)

artcher [175]

I hope this helps you

4 0

3 years ago

Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population

exis [7]

We can use the equation [ f(x) = 16*4^(x-1) ] where x equals the year of study.

f(7) = 16*4(7-1)

f(7) = 16*4^6

f(7) = 16*4096

f(7) = 65,536

There is no option that resembles the correct answer.

Best of Luck!

5 0

2 years ago