Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+3x-5=5

Answers

Answer 1

Answer: If you would like to solve the equation x^2 + 3 * x - 5 = 5, you can calculate this using the following steps:

x^2 + 3 * x - 5 = 5
x^2 + 3 * x - 5 - 5 = 0
x^2 + 3 * x - 10 = 0
(x + 5) * (x - 2) = 0
1. x = - 5
2. x = 2

The correct result would be x = - 5, or x = 2.

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Two parallel lines are crossed by a transversal.Horizontal and parallel lines k and l are cut by transversal j. At the intersection of lines k and j, the bottom left angle is 120 degrees. At the intersection of lines l and j, the top left angle is h degrees.
What is the value of h?

h = 60
h = 80
h = 100
h = 120

Answers

Answer:

∠h=60º

Step-by-step explanation:

1) Since in a pair of parallel lines ∠α and ∠ h are Consecutive interior angles, their sum is 180º, i.e. they are supplementary angles. (Check the first graph)

$\alpha +h =180^(o)\Rightarrow 120^(0)+h =180^0\Rightarrow h=60^0$

Answer: H = 60

Explanation: the parallel line (k) cut by the transversal line (j) forms two angles, one of size 120° and the other h°. These angles must be supplementary (add to 180°) therefore h = 180 -120 = 60°

Factorise fully 6a+10ab

Answers

Answer:

Taking 2a common from the two terms of the equation

$6a + 10ab \n = 2a(3 + 5b)$

2a(3+5b) is the right answer.

Final answer:

To factorize 6a + 10ab fully, we can factor out 2a from both terms, resulting in 2a(3 + 5b).

Explanation:

To fully factorize the expression 6a + 10ab, we can start by finding the greatest common factor (GCF) of the two terms. The GCF here is 2a, so we can factor out 2a from both terms:

6a + 10ab = 2a(3 + 5b)

Therefore, the fully factored form of 6a + 10ab is 2a(3 + 5b).

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Estimate:
482 is about what percent of 796?

Answers

Answer:60.55 percentage

Step-by-step explanation:

Two angle measures in a scalene triangle are 77° and 62°. What is the measure of the third angle? 41°
61°
77°
221°

Answers

Two angle measures in a scalene triangle are 77° and 62°. The measure of the third angle is 41°.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The angle is the degree of rotation that it will take for the moving side to go from the initial side to the position it is currently on.

The total measure of the inner angles of a shape;

(n-2) x 180°

where n is the number of sides.

$(3-2)180\n1 * 180$

180° is the total measure of the inner angles.

To put that as an equation;

180° = 77° + 62° + x°

x = 41°

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The total measure of the inner angles of a shape is determined by the expression;
(n-2)*180° where n is the number of sides.
(3-2)180°
1*180°
180° is the total measure of the inner angles.
To put that as an equation;
180° = 77° + 62° + x°
x = 41°

Select the term that best describes the statement.If a polygon has eight sides, then it is an octagon.

conjunction
disjunction
negation
conditional

Answers

Answer:

The term that best describes the given statement is given by the last option i.e.

Conditional .

Step-by-step explanation:

We are given a statement:

If a polygon has eight sides, then it is an octagon.

We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.

It could also be symbolized as:

If p then q

where p is the hypothesis and q is the conclusion.

Hence, the term that describes this given statement is:

Conditional.

conditional
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.

Solve.2/3 divide -1 1/3

A. 1/2

B. 2

C. -1 1/8

D. -1/2

Answers

2/3 ÷ -1 1/3
2/3 ÷ -4/3
-2/3 × 3/4
-(2 × 3) / (3 × 4)
-6/12
-1/2

The answer is: -1/2 or -0.5.

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