Write an equation of the line perpendicular to the given line that contains P.
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Related Questions
Describe a single transformation the has the same effect as rotations a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis
How much times can 2 go into 125
Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?a.r + 1.50 = 1.5r b. r + (5 – r) = 5 c. 1.5r + 2.5(5 – r) = 10.50 d. 1.5r + 2.5(5 – r) = 5
Susanne wants to put up a fence around hersquare garden. The garden measures 11 feet on each side How much fencing material does she need
B) exactly two solution
C) infinite solutions
D) exactly one solution
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A system of linear equation can have no solutions , many solutions or exactly one solution .
Let's check out example of each.
So all of these describes a system of linear equations except two solutions.
So the correct option is B
Final answer:
In a system of linear equations, the lines represented by the equations can either intersect at a single point, don't intersect at all, or coincide entirely. However, they can't intersect at exactly two different points. Hence, the system of linear equations cannot have 'Exactly two solutions'.
Explanation:
In mathematics, specifically in the study of linear equations, there are various possibilities for the number of solutions a system of linear equations can have. These include having no solution (when the lines are parallel and never intersect), exactly one solution (when the lines intersect at one point), or infinite solutions (when the two lines coincide).
Among the provided options, the one that cannot describe a system of linear equations is 'Exactly two solutions'. A system of linear equations cannot have exactly two solutions. It is because the lines representing the equations can either intersect at a single point, don't intersect at all, or coincide, mimicking each other entirely. But it is impossible for them to intersect at exactly two different points.
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{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
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The solution set is Option D.
{x | x R, x ≤ 3}
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality relation be A
And the equation is 3x - 2 ≤ 2x + 1.
So , on simplifying the equation , we get
3x - 2 ≤ 2x + 1.
Subtracting 2x on both sides of the inequality equation , we get
x - 2 ≤ 1
Adding 2 on both sides of the inequality equation , we get
x ≤ 3
Therefore , the value of x satisfies all the numbers that are less than or equal to 3
Hence , The solution set is {x | x R, x ≤ 3}
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Answer: D
Step-by-step explanation:
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Answer:
4
Step-by-step explanation:
4^4 = 256
4^3 = 64
256/64
4
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Answer:
x equals 10 and x equals -4
Step-by-step explanation:
take the square root of (x-3)² and the square root of 49
√(x-3) = x-3
√49 = +7 and -7
substitute the positive and negative 7 in for 'x' and solve
x-3 = 7; therefore, x = 10
x-3 = -7; therefore, x = -4
Answers
4.2 inches.
Explanation:
We use the size of the largest dimension of the reproduction to find the scale factor. The largest dimension of the original drawing was 5 inches.
The largest dimension of the reproduction is 11 inches.
To find the scale factor, divide:
Since the scale factor is 2.1, to find the smallest dimension of the reproduction we multiply the original by 2.1:
2*2.1=4.2 inches.
Answer:
Answer is 4.2 - I just took the quiz
Step-by-step explanation:
a. 42/x^5
b. 1/42x^5
c. 42x^11
d. 13x^–5
(–2x8) · 3y9 · 2x4
a. 3x^12y^9
b. –12x^72y^9
c. –12xy^21
d. –12x^y^9
2. Find the simplified form of the expression. Give your answer in scientific notation.
(8 x 10^7) (7 x 10^4)
a. 1.5 × 10^12
b. 5.6 × 10^12
c. 1.5 x 10^29
d. 5.6 x 10^29
(7 × 10^–4)(9 × 10^–10)
a. 6.3 × 10^–13
b. 63 × 10^–13
c. 6.3 × 10^–15
d. 6.3 × 10^–16
Answers
Answer with explanation:
Ques 1)
A)
We are given a expression as:
It could also be written as:
Option: a is the answer.
B)
which is solved as follows:
Ques 2)
A)
The expression is:
It is solved as:
Option: b is the answer.
B)
On simplifying:
Option: a is the answer.