A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6.
Which is the equation of the line?

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

Thats right

Step-by-step explanation:

You typed the right answer :/

Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

Answer:

B

2 times 3 times 11

Step-by-step explanation:

Answer:

y=-4x+-8

Step-by-step explanation:

Put me the brainliest please

Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

Answer:

Exact Form:

1

188

Decimal Form:

0.00531914

…

Step-by-step explanation:

:)

1 over 188 BTW

Answer:

94i

Step-by-step explanation:

94^-1/2 is the square root of -94 which is an imaginary number

Answer:

g(x) = -1

Hope this helps.

Step-by-step explanation:

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

A,paper crane B, 6

Step-by-step explanation:

the inequality sign is less than or squeal the highest number u can get is 6 before going higher than 30

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, I will follow u back!

Answer:

x^2 + 4x + 3 with a remainder of 5

Answer:

can you take a picture of the options?

Step-by-step explanation:

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Answer:

- 6 and ?/6

Step-by-step explanation:

Just look at my pictute Haha. And btw it is negative because the fractions did not have the same sign as in one was positive and one was negative! Hope I helped! Please give me brainliest! Have a great day Adios. :)

Answer:

False

Step-by-step explanation:

Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.

Answer:

It is not a function.

Step-by-step explanation:

Input (x)

Output (y)

An input can never have two outputs

2 = 20

2 = 40

makes it not a function

10,10,10,20 i hope that helps but if not its cause i dont really understand the question

Answer:

B. rectangle, square, quadrilateral, parallelogram, rhombus

Step-by-step explanation:

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

Answer:

1086/18.25 = 59.51

60 more tubs of popcorn to reach their target.

Step-by-step explanation:

OK, here we go. Golf Club first

You subtract the total amount they need to raise, by the amount they already have:

2620 - 1225 = $1395.00 to go

Divide that number by the price of golf balls to find out how many more they need:

1395/25 = 55.8

This means that they need to sell at least 56 golf balls to meet the target.

Now to the Percussion Club...

Do the same thing again:

2400 - 1314 = $1086 to go

1086/18.25 = 59.51

So the percussion club needs to sell at lest 60 more tubs of popcorn to reach their target.

Answer:

$90

Step-by-step explanation:

Calculation for the total change in Darnel's bank account relative to where it started

Based on the information given what will be the total change in Darnel's bank account relative to where it started will be the total amount he earned on both Saturday and Sunday

Total change=$65+$25

Total change=$90

Therefore the total change in Darnel's bank account relative to where it started will be $90

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Answer:

$500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 500 × 0.05 × 20 = 500

I = $ 500.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5% per year

for 20 years is $ 500.00.

Answer:

i dont get it

Step-by-step explanation:

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4