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3 years ago

Find the slope and the y-intercept of the line Y= 7X -6

Mathematics

1 answer:

Artyom0805 [142]3 years ago

6 0

Answer:

Slope: 7

y-intercept:-6

Step-by-step explanation:

The equation of the line in Slope-intercept form is the following:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You have the equation of the given line:

$y=7x-6$

You can observe that it is written in Slope-intercept form, therefore, you can identify that the slope and the y-intercept are the following:

$m=7\\b=-6$

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Which of the following inequalities have -8 in its solution set?

Mice21 [21]

Answer:

3x ≥ 24 or 3x ≤ -24

Step-by-step explanation:

This is the obvious choice because of this:

8 ≤ x or -8 ≥ x

There is your -8 right there. You just divide all sides by 3 to get this solution set.

I am joyous to assist you anytime.

3 0

3 years ago

Simplify √(x^2-10x+25) if -5≤x<5

romanna [79]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's simplify ~

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) (x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) {}^{2} }$

$\qquad \sf \dashrightarrow \: (x- 5)$

value x lies between :

$\qquad \sf \dashrightarrow \: - 5 \leqslant x \leqslant 5$

if the value of x is taken -5

$\qquad \sf \dashrightarrow \: - 5 - 5$

$\qquad \sf \dashrightarrow \: - 10$

if value of x is taken as 5

$\qquad \sf \dashrightarrow \:5 - 5$

$\qquad \sf \dashrightarrow \:0$

So, the possible values of the required expression lies between ~

$\qquad \sf \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0$

I hope you understood the whole procedure. let me know if you have any doubts in given steps ~

8 0

3 years ago

Solve the following equation by using quadrantic formula

Fiesta28 [93]

Answer:

where is it luv

Step-by-step explanation:

6 0

3 years ago

What is 32,749 rounded to nearest hundred

natima [27]

32,749 to the nearest hundredth is 32,700

6 0

4 years ago

Read 2 more answers

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

3 years ago