First, you combine like terms: x+3x=4x: 12+4x=18-2x
Second, you add the 2x to each side (inverse operation): 12+6x=18
Third, you subtract 12 from 18 to cancel out the 12 (inverse operation): 6x=6
Fourth, you divide each side by 6 to find the value of x
The answer is x=1
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
To complete the music program, a student must present one vocal performance, one instrumental performance, and compose one original work.
What Is A Complex Sentence?
One independent clause and at least one dependent clause connected by subordinating conjunction make up a complex sentence. One of the four fundamental forms of sentences in the English language is complex sentences.
Complex sentences need a minimum of three components:
Independent Clauses: In writing, independent sentences are made up of the whole concepts stated along with a noun and verb (a subject and predicate). Independent clauses are capable of standing alone as whole sentences.
Dependent Clauses: Dependent clauses, also known as the subordinate clause, include a noun and a verb but are unable to articulate a coherent idea.
Subordinating conjunctions: Subordinating conjunctions are used to connect dependent clauses to independent clauses in complex sentences. These are the connecting words between the two clauses.
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Answer:
(a) c = 40h + p
(b) $285
Step-by-step explanation:
(a)
Total Cost = (Cost per hour x Number of Hours) + Total Cost of Parts
c = 40h + p
(b)
For this case, p = $165 and h = 3:
c = 40*3 + 165 = $285