I'm stuck on a question I'm helping my brother with. We need to find out if y = -x squared is linear or not.

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respect

Vera_Pavlovna [14]

Answer:

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get 27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

solution:

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

6 0

3 years ago

Read 2 more answers

Write a two column proof

Annette [7]

$4y=2x-10$ and $y=6$

use the second expression to calculate the left-hand side of the first equation:

$4\cdot 6 = 2x -10\\24 = 2x -10$

Add 10 to both sides if this equation to get

$34 = 2x$

and divide both sides by 2

$17 = x$

this proves that x = 17, give the two initial equations

8 0

3 years ago

If the measure of < A is 99 ° and the measure of < B is 81 ° , then < A and < B are _____.

Doss [256]

Answer:

D.supplementary angles

Step-by-step explanation:

81+99=180

6 0

3 years ago

Read 2 more answers

what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges

NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The lowest of the three numbers is -3.

The smallest however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer. In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable. If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) = 7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) = 7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0

2 years ago

What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1

7nadin3 [17]

Ans: Option (1) Discontinuity at (1, 7), zero at ( negative four thirds , 0)

Explanation:
Given function:
$f(x) = \frac{3x^2 + x - 4}{x-1}$

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
$f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \ ~ x = \frac{-4}{3} \\ Hence~zeros=( \frac{-4}{3}, 0)$

5 0

3 years ago