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1 year ago

To complete the music program, a student must present

1 answer:

8 0

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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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Solve (4 - x ≤ -1) ∩ (2 + 3x ≥ 17).

belka [17]

$4-x \leq -1\ \ \ | subtract\ 4\ \ \ \ \ and\ \ \ \ 2+3x \geq 17\ \ \ | subtract\ 2\\\\
-x \leq -5\ |*(-1)\ \ \ \ and\ \ \ \ 3x \geq 15\ \ | divide\ by\ 3\\\\
x \geq 5\ \ \ \ \ and\ \ \ \ x \geq 5\\\\
Solution\ is\ x\in[5,+\infty)$

3 0

3 years ago

Read 2 more answers

The solution set of an inequality is shown below.

DENIUS [597]

B is the correct answer because it shows the solution set of an inequality

3 0

2 years ago

Did any of you army's go to the BTS concert, because I sadly didn't get to go.

kakasveta [241]

Answer:

No I didn't go

Step-by-step explanation:

5 0

2 years ago

Trying to find the y-intercept and got -24. But the graph given doesn't have a number on the y-axis going all the way down to -2

mario62 [17]

Answer:

y = 6x - 24

Step-by-step explanation:

Slope intercept form: y = mx + b.

Fill in x, y, and the slope to solve for b as follows:

First find the slope.

60 - 6

14 - 5

54/9

Slope = 6

y = 6x + b

(6) = 6(5) + b

6 = 30 + b

Subtract 30 from both sides.

-24 = b

y = 6x - 24

4 0

3 years ago

Read 2 more answers