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2 years ago

Can someone solve point-slope lines and show work? I’m confused

Mathematics

1 answer:

Bad White [126]2 years ago

8 0

Answer:

Option (2)

Step-by-step explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' = $-\frac{7}{10}$

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 = $-\frac{7}{10}(x-80)$

y = $-\frac{7}{10}x+56-71$

y = $-\frac{7}{10}x-15$

Option (2) will be the answer.

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Can't seem to get this one, help? (20pt)

egoroff_w [7]

Answer:

The answer to your question is: (∞ , 3]

Step-by-step explanation:

Remember that to express an inequality, are used ( ) and [ ].

( ) are used when the point is not consider in the interval.

[ ] are used when the point is consider or is part of the interval.

Also, an empty point indicates that the number is not consider in the interval.

and, a filled point indicates that the number is consider in the interval.

For your question, the interval will be:

(∞ , 3]

8 0

2 years ago

John bought a pair of basketball shoes for $70. The sales tax on the shoes was $5.60. Which represents the sales tax rate?

lisabon 2012 [21]

8%

$5.60 x 100/ 70 = 8

5 0

2 years ago

Read 2 more answers

Felicity babysat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hourl

Virty [35]

Answer:

$9 a hour.

Step-by-step explanation:

2 hours for 10 nights, In total felicity worked for 20 hours.

To hind the hourly rate you would take your number of hours worked ( 20)

and divide it by 180 to see how much felicity got paid for one hour.

180

20

After dividing you will get the answer 9.

4 0

3 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

9 months ago

3a - 6a + 2 = 8a + 20 - 5a pls help!!! step by step!! URGENT!

Lubov Fominskaja [6]

The answer is
a = -3

4 0

2 years ago

Read 2 more answers