Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
<h3>
What is Inequalities?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Learn more about Inequality from:
brainly.com/question/20383699
#SPJ1
Answer:
We conclude the equation is linear because it can be rewritten in the form
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form

subtract 18x from both sides

simplify

divide both sides by 9

Now, comparing the equation
with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form
.
From the attached graph, is also clear that the graph of the equation
is a straight line.
Hence, option D is correct.
Answer:
·
·
Step-by-step explanation:
Well to find the prime factor we make the prime factorization tree.
Look at the image below↓
<em>Thus,</em>
<em>the prime factorization of 4275 is </em>
·
·
<em>Hope this helps :)</em>
Given:
A figure in which a transversal line t intersect the two parallel lines a and b.
To find:
The measure of the numbered angles.
Solution:
If a transversal line intersect the two parallel lines, then
1. Corresponding angles are equal.
2. Alternate interior angles are equal.
3. Alternate exterior angles are equal.
Now,
(Linear pair)


(Vertically opposite angles)
(Vertically opposite angles)
(Corresponding angles)
(Alternate interior angles)
(Alternate exterior angles)
(Corresponding angles)
Therefore,
.