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3 years ago

5y - (21x + 7) Which is the correct description

Mathematics

1 answer:

belka [17]3 years ago

7 0

Answer

-21x + 5y - 7

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Step-by-step explanation:

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If one angle of a triangle is 100 degrees and the other two angles are equal what is the measure of each unknown angle?

Shkiper50 [21]

Each of the 2 angles would be 40

5 0

3 years ago

What is the value of y in the sequence below 2, У, 18,-54, 162

Maslowich

Answer:

y=-6

Step-by-step explanation:

Geometric Sequences

Any given sequence is said to be geometric if each term $a_n$ can be obtained as the previous term $a_{n-1}$ by a constant value called the common ratio.

$a_n=a_{n-1}.r$

or equivalently

$a_n=a_1.r^{n-1}$

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

$\displaystyle \frac{162}{-54},\ \frac{-54}{18}$ and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0

3 years ago

Question 2.2. Which ordered pairs make the inequality true?

taurus [48]

Question 2.2. Which ordered pairs make the inequality true?2x + y > –4The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.

Question 3.3. What is the slope of the line represented by the equation?

There is no equation

Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?

Convert to slope-intercept form:

6x - 3y = 4

Subtract 6x to both sides:

-3y = -6x + 4

Divide -3 to both sides:

y = -6/-3x + 4/-3

Simplify:

y = 2x - 4/3

Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.

Question 5.5. What is the simplified form of the expression?

15y - 3(4y + 10)

Distribute -3 into the parenthesis:

15y - 12y - 30

Combine like terms:

3y - 30

8 0

3 years ago

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

$\theta = 31^{\circ}$

$diagonal = 23.3\ in$

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

$sin \theta = \frac{opp}{hyp}$

This gives:

$sin 31^{\circ}= \frac{h}{23.3}$

Make h the subject

$h = 23.3 * sin(31^{\circ)$

$h = 23.3 * 0.5150\\$

$h = 11.9995$

$h = 12\ inches$

7 0

3 years ago

Read 2 more answers

2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers

UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

$\frac{x^3+x^2+x}{x^2+x+1}=x$

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that $x^3+x^2+x=x(x^2+x+1)$

If we replace the factored numerator with the original one, we get:

$\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x$

Since we have an equality, this relation is proved.

3 0

3 years ago