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3 years ago

Select all the true statements.

Mathematics

2 answers:

butalik [34]3 years ago

7 0

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

π is irrational because π is not a repeating decimal.

I think.

dangina [55]3 years ago

6 0

Answer:

Dont get it either im stuck on it

Step-by-step explanation:

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Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

tatuchka [14]

Answer:

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

-1= 3 + b subtract 3 for both sides

-4=b

substitue -4 for b. Now you have y= -3/4x - 4 this is your answer.

5 0

3 years ago

Write the equation of the graph.

Ber [7]

Answer:

it is the bottom answer or if it was labeled it would be D.

8 0

3 years ago

A given line has the equation 10x + 2y = −2.

worty [1.4K]

The equation is $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

<h3>Further explanation </h3>

This case asking the end result in the form of a slope-intercept.

<u>Step-1: find out the gradient. </u>

10x + 2y = -2

We isolate the y variable on the left side. Subtract both sides by 10x, we get:

2y = - 10x - 2

Divide both sides by two

y = -5x -1

The slope-intercept form is $\boxed{ \ y = mx + c \ }$ , with the coefficient m as a gradient. Therefore, the gradient is m = -5.

If you want a shortcut to find a gradient from the standard form, implement this:

$\boxed{ \ ax + by = k \rightarrow m = - \frac{a}{b} \ }$

10x + 2y = −2 ⇒ a = 10, b = 2

$\boxed{m = - \frac{10}{2} \rightarrow m = -5}$

<u>Step-2:</u> the conditions of the two parallel lines

The gradient of parallel lines is the same $\boxed{ \ m_1 = m_2 \ }$ . So $\boxed{m_1 = m_2 = -5}.$

<u>Final step:</u> figure out the equation, in slope-intercept form, of the parallel line to the given line and passes through the point (0, 12)

We use the point-slope form.

$\boxed{ \ \boxed{ \ y - y_1 = m(x - x_1)} \ }$

Given that

m = -5
(x₁, y₁) = (0, 12)

y - 12 = - 5(x - 0)

y - 12 = - 5x

After adding both sides by 12, the results is $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

<u>Alternative steps </u>

Substitutes m = -5 and (0, 12) to slope-intercept form $\boxed{ \ y = mx + c \ }$

12 = -5(0) + c

Constant c is 12 then arrange the slope-intercept form.

Similar results as above, i.e. $\boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }$

$\boxed{Standard \ form: ax + by = c, with \ a > 0}$

$\boxed{Point-slope \ form: y - y_1 = m(x - x_1)}$

$\boxed{Slope-intercept \ form: y = mx + k}$

<h3>Learn more </h3>

A similar problem brainly.com/question/10704388
Investigate the relationship between two lines brainly.com/question/3238013
Write the line equation from the graph brainly.com/question/2564656

Keywords: given line, the equation, slope-intercept form, standard form, point-slope, gradien, parallel, perpendicular, passes, through the point, constant

7 0

3 years ago

Read 2 more answers

Find the output, k, when the input, t, is -7−7minus, 7.<br> k = 10t-19k=10t−19

sleet_krkn [62]

The value of k is -89

Explanation:

The given expression is $k=10t-19$

We need to determine the output k, when the input t is -7

<u>Output k:</u>

The value of the output k can be determined by substituting the input $t=-7$ in the expression $k=10t-19$

Thus, we have,

$k=10(-7)-19$

Multiplying the terms 10 and -7, we have,

$k=-70-19$

Simplifying, we get,

$k=-89$

Thus, the value of k is -89

7 0

3 years ago

What is the value of n?

melamori03 [73]

The answer for this question that needs an answer is n = 5

because 18(n-1) = 9(n+7) implies that 18n - 18 = 9n + 63 which implies that n =5 for the equation to hold true.

6 0

3 years ago