What is the equation of a line, in point- slope form, that passes through (5, −3) and has a slope of 2/3 ? y−5=23(x+3) y−3=23(x+5) y+5=23(x−3) y+3=23(x−5)

Answers

Answer 1
Answer:

y - 5 = 2/3 ( x + 3)

That's your answer.

Answer 2
Answer:

Final answer:

The equation of a line that passes through the point (5, -3) with a slope of 2/3, when expressed in point-slope form, is y + 3 = 2/3 * (x - 5).

Explanation:

In Mathematics, the equation of a line can be given in multiple forms, one of those is the point-slope form. The generic form of this equation is y - y1 = m(x - x1), where (x1, y1) are the coordinates of any point on the line and m represents the slope of the line.

Given the slope m = 2/3 and the point on the line (5, -3), the equation is y - (-3) = 2/3 * (x - 5). After simplifying, we have: y + 3 = 2/3 * (x - 5) as the equation of the line.

Learn more about Point-slope equation here:

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A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?

Answers

Answer:

The truck drove 44.445 miles per hour.

Step-by-step explanation:

Given:

Distance travelled driven by truck driver = 300 miles

Time taken = 6(3)/(4) hours.  

To find:

miles per hour did the driver drive=?

Solution:

Now, we know that, number of miles per hour is nothing but the speed of the truck.

we know that, distance = speed x time.

So, now, 300 miles = speed x 6 ¾ hours  

300 = speed* ((6*4+3))/(4)

300 = speed*((24+3))/(4)

300 = speed*(27)/(4)

Speed = 300*(4)/(27)

Speed = 100*(4)/(9)

Speed = (400)/(9)

Speed = 44.445

answer is 125 because you divide 300/6=50 

Round 1.0649 to the nearest thousandth

Answers

1.0649 to the nearest thousandths is 1.065

You could get this by finding where the thousandths place is, which is the third number.
Now, look at the number to the right. 
If it's 5 or higher, round up. 
If it's 4 or lower, round down.

Since it is 9, we round up.
The 4 turns into a 5.

So, 1.065

Hope I helped!

Answer:

1.065

Step-by-step explanation:

the 4 is the thousndth the 9 makes it 5

A national park covers 218,375 acres. What is this number written in expanded form

Answers

200,000+10,000+8,000+300+70+5 is 218,375 in expanded form!!!
200,00 + 10,000 + 8,000 + 300 + 70 + 5

Which equation supports the given conjecture? The sum of the squares of two consecutive integers is an odd integer.

A.
(2 + 3)2

B.
32 + 52 = 34

C.
4 + 52 = 29

D.
52 + 62 = 61

Answers

the first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors)  we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect.  additionally, some of the equations are obviously false such as 52+62=61

The verified answer is wrong the correct answer is d 5 squared plus 6 squared. Because the question is asking for two consecutive integers and it wants an odd integer therefor d is the correct answer because it has to squared consecutive integers and an odd answer.

Hope i helped Mark as brainliest

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 1 or a 5?

Express your answer in simplest form.

Outcome 1 2 3 4 5 6
Number of times outcome occurred 10 6 4 8 6 6

Answers


Total number of rolls in the experiment:  (10 + 6 + 4 + 8 + 6 + 6)  = 40 .

Number of times  '1'  or  '5'  came up:  (10 + 6) = 16 .

Experimental probability of  '1'  or  '5'  :   16/40  =  40%
(Could change, and most likely will, in the next experiment.) 

Theoretical probability:  2/6  =  33-1/3 %


Answer:

1/4

Step-by-step explanation:

2x-8y=-24
6x+4y=68
Using elimination method

Answers

6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280

-280÷-56=5
y=5

2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8


y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.