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lina2011 [118]
3 years ago
9

3(2x + 1) = 12 + 3x ?

Mathematics
2 answers:
enyata [817]3 years ago
6 0

Answer:

I will just try

Step-by-step explanation:

3(2x+1)=12+3x

6x+3=12+3x

6x-3x=12-3

3x=6

x=6÷3

x=2

now,

3(2x+1)=12+3x

3(2×2+1)=12(3×2)

3×5=12×6

15=72

Andre45 [30]3 years ago
4 0

Answer:

6x+3=12+3x

6x-3x=12-3

3x=9

x=9/3

x=3

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Select the functions that have a value of -1. sin180° cos180° tan180° csc180° sec180° cot180°
kupik [55]

We have to break each degree in terms of 90

A) sin180^\circ=sin(90\times2+0)

Which is in third quadrant, therefore sine is negative hence

sin(90\times2+0)= -sin0 ^\circ = 0


B) cos180^\circ =cos(90\times2+0)

Which is in third quadrant, therefore cosine is negative hence

cos(90\times2+0)= -cos0^\circ  = -1


C) tan180^\circ=tan(90\times2+0)

Which is in third quadrant, therefore tangent is positive hence

tan(90\times2+0)= tan0^\circ  = 0


D) csc180^\circ=csc(90\times2+0)

Which is in third quadrant, therefore cosec is negative hence

cosec(90\times2+0)= -csc0^\circ  =not defined


E)sec180^\circ=sec(90\times2+0)

Which is in third quadrant, therefore secant is negative hence

sec(90\times2+0)= -sec0^\circ  = -1


F) cot180^\circ=cot(90\times2+0)

Which is in third quadrant, therefore tangent is positive hence

cot(90\times2+0)= cot0^\circ = not defined


Hence only cos 180^\circ and

sec180^\circ have value -1

Hope this will help

7 0
3 years ago
M∠6 is (2x – 5)° and m∠8 is (x + 5)°. What is m∠3?
erastovalidia [21]
I hope this helps you

4 0
3 years ago
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The figure shown to the right is an isosceles triangle, and
Mrrafil [7]

Answer:

We know that an isosceles triangle has 2 of its sides being equal

With R, being the midpoint of PS, we can say that

PR=RS

Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles

Step-by-step explanation:

therefore angle at P is 45°. Angle at S also 45°

Therefore PT = TS

This is because T is 45 degrees as well as P which is also 45 degrees

angle in triangle PTS is 180 degrees

R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)

3 0
3 years ago
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

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3 years ago
If one zero of the polynomial 2x² + 3x + λ is 1/2, find the value of λ and other zero.​
ivanzaharov [21]

The value of λ is - 2 and other zero is also - 2.

<h3>Justification:</h3>

Let <u>p(x) = 2x² + 3x + λ</u>

<u>Its one zero is 1/2</u>, so p(1/2) = 0

p(1/2) = 2 × (1/2)² + 3 × 1/2 × λ

⇒ 1/2 + 3/2 + λ = 0 ⇒ 4/2 + λ = 0

⇒ 2 + λ = 0 ⇒ λ = - 2

<u>Let the other zero be α</u>,

Then α + 1/2 = - 3/2 ⇒α = - 3/2 - 1/2 = - 2

7 0
3 years ago
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