Answer:
the inequality is y>1/3x -3
Step-by-step explanation:
im built different
(B) y=−2x+2
(C) y=2x+3
(D) y=2x+5
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 2 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - x + 5 ← equation of perpendicular line
conjunction
disjunction
negation
conditional
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.
Answer:
Step-by-step explanation:
Given,
Art electives = 3,
History electives = 4,
Computer electives = 5,
Total number of electives = 3 + 4 + 5 = 12,
Since, if a student chooses an art elective and a history elective,
So, the total combination of choosing an art elective and a history elective =
Also, the total combination of choosing any 2 subjects out of 12 subjects =
Hence, the probability that a student chooses an art elective and a history elective =
Which is the required expression.
Answer: Hello!
we have:
3 art electives
4 history electives
5 computer electives
which adds to a total of 12.
If the selection is random, each elective has the same probability.
The probability of selecting an art electives is the quotient between the number of art electives and the total number of electives:
3/12
suppose that this event is true, now we need to see the probability of choosing also a history elective;
We do the same process as before, we have 4 history electives and, because we already selected 1 in the previous step, we have a total of 11 electives:
the probability now is 4/11.
Now we want to calculate the joint probability of bot events is equal to the product of their probabilities; this is:
p= (3/12)*(4/12) = (4*3)/(11*12) = 12/(11*12) = 1/11
But there is also the case where the selection is in the other order (first history and second art) so the probability is equal to
2*1/11 = 2/11
PLS PLS PLS HELP IM FAILING GEOMETRY RNNNNN
By the Definition of congruent property, we have proved that:
VW ≅ VX
Congruent Property:
The three properties of congruence are the reflexive property of congruence, the symmetric property of congruence and the transitive property of congruence. These properties can be applied to line segments, angles, triangles, or any other shape.
Given: VZ ≅ VY and WY ≅ XZ
Prove: VW ≅ VX
Proof:
(Given): VZ ≅ VY and WY ≅ XZ
By the Definition of Congruent Substitute:
VZ = VY and WY = XZ
⇒ VZ = VX + XZ , and,
VY = VW + WY
By Substituting
VX + XZ = VW + WY
Again,
VX + WY = VW + WY
Now,
By Subtraction property of Equality
VX = VW
VW = VX (Definition of congruent property.)
Complete Question:
IF VZ congruent of VY and WY congruent of XZ. Prove that VW is Congruent of VX.
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The required simplified solution of the given expression is -4.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= -6 - |3 - 7| × 4 ÷ 8 - (-2)
Simplifying the above expression using the PEMDAS rule,
= -6 -|-4|×4÷8+ 4
= -6 - 16÷18 + 4 [∵ |-4| = 4]
= -6 - 2 + 4
= -4
Thus, the required simplified solution of the given expression is -4.
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