Identify the slope and y-intercept of the line y=5x/3+1.

Answer:

93°

Step-by-step explanation:

Vertical angles have the same measure

Answer:

93%

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

Calculate the slope m of line k using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)

m = [tex]\frac{y-8}{2-5}[/tex] = [tex]\frac{y-8}{-3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

The slope of line l is m = 3, thus slope of line k is

m = - [tex]\frac{1}{3}[/tex]

Equating the 2 slopes for line k

[tex]\frac{y-8}{-3}[/tex] = - [tex]\frac{1}{3}[/tex] ( multiply both sides by - 3 )

y - 8 = 1 ( add 8 to both sides )

y = 9

To find the value of y, we can use the fact that the slopes of Perpendicular lines are negative reciprocals of each other. Using the given information and equations, we can solve for y.

To determine the value of y, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. Since line l has a slope of 3, the slope of line k would be -1/3. We can use the slope-intercept form, y = mx + b, to find the equation of line k.

Substituting the coordinates (5, 8) and the slope -1/3 into the equation, we can solve for y.

Using the point-slope form, y - y1 = m(x - x1), where (x1, y1) is the given point (2, y). We can rearrange this equation to get y = mx + b form, substitute the values, and solve for y to find the value of y.

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Answer:

1. [tex](b+8)^{2}[/tex]

2. [tex]-3k(k^{2} -5k+2)[/tex]

3. [tex](3x-1)(x-5)[/tex]

Step-by-step explanation:

1. Both [tex]x^{2}[/tex] and 64 are perfect squares, meaning [tex]16b[/tex] is twice the product of x and 8. Since all signs are positive, the equation would be: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex]. Let [tex]a=x[/tex] and [tex]b=8[/tex]. Answer: [tex](b+8)^{2}[/tex] or [tex](b+8)(b+8)[/tex].

2. Since -3 is a factor of all 3 terms, factor out the -3 which makes,  [tex]-3(k^{2} +5k^{2} -2k)[/tex] . K is also a common factor, so you would factor that out too, [tex]-3k(k^{2} -5k-2)[/tex]. Then simply, find the two factors whose product is -2 and whose sum is -5. Answer: [tex]-3k(k^{2} -5k+2)[/tex].

3. By factoring [tex]3x^{2} -16x+5[/tex], you would break the expressions in the group=[tex](3x^{2} -x)+(-15x+5)[/tex]. Then, factor out "x" from [tex]3x^{2} -x: x(3x-1)[/tex]. Factor out "5" from [tex]-15x+5:-5(3x-1)[/tex] = [tex]x(3x-1)-5(3x-1)[/tex]. Finally, factor out the common term "3x-1" = [tex](3x-1)(x-5)[/tex]

Answer:

-1 is the smallest according to this question

Answer:

[tex]\frac{x-2}{2(x+2)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x}{x+2}[/tex] × [tex]\frac{x-2}{8x}[/tex]

Cancel 4x and 8x on the numerator/ denominator, thus

[tex]\frac{1}{x+2}[/tex] × [tex]\frac{x-2}{2}[/tex]

= [tex]\frac{x-2}{2(x+2)}[/tex]

Answer: 37%

Step-by-step explanation:

n( green ) = 15

n( yellow) = 18

n(Orange) = 16

Total = 49

P(yellow) = n(yellow) / Total number

P(yellow) = 18/49

P(yellow) = 0.367

converting to percentage

P(yellow) = 0.367 x 100 = 36.7

To the nearest percent

P(yellow) = 37%

Answer:

490

Step-by-step explanation:

oh lord here we go again

get the area of all signs again

5 x 5 = 25

theres 2 of those squares so make that 50

8 x 5 = 40

theres 4 of those sides so 40 x 4 = 160

10 x 10 = 100

theres two of those so its 200

2 x 10 = 20

4 of these so 80

add all the final ones

50 + 160 + 200 + 80 = 490

Volume of the cone is 17 cm³

Step-by-step explanation:

Volume = 1/3 × 3.14 × 2² × 4

             = 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

[tex](x,y)\to( \frac{1}{2} x, \frac{1}{2} y)[/tex]

This implies that:

[tex](0,6)\to(0,3)[/tex]

[tex](7,12)\to(3.5,6)[/tex]

[tex](7,9)\to(3.5,4.5)[/tex]

[tex](0,12)\to(0,6)[/tex]

Therefore correct choice is (0,3)

Answer:144 m

Step-by-step explanation:

9x6=54/2=27

27x4=108

6x6=36

108+36=144

When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:

Step 1. Twice the difference of a number and 2

Let's call that unknown number as n. Then, twice the difference of a number and 2 is:

[tex]2(n-2)[/tex]

Step 2. Twice the difference of a number and 2 is at most -27

[tex]2(n-2)\leq -27[/tex]

_________________________________________

So the mathematical form of the statement twice the difference of a number and 2 is at most -27 is:

[tex]\boxed{2(n-2)\leq -27}[/tex]

The right answer is Option B: 9/26

Step-by-step explanation:

Given equations are;

[tex]2x+\frac{4}{3}y=1[/tex]     Eqn 1

[tex]y-\frac{9}{13}x=9[/tex]     Eqn 2

For eliminating x, we will make the variables equal with opposite signs.

In Eqn 1;

We will multiply Eqn 1 by 9/26 to get +9/13x.

[tex]\frac{9}{26}(2x+\frac{4}{3}y=1)\\\\\frac{9}{13}x+\frac{6}{13}y=\frac{9}{26}[/tex]

Therefore;

We will multiply Eqn 1 by 9/26.

The right answer is Option B: 9/26

Answer:

6780

Step-by-step explanation:

(60/9) * 1017 = 6780

Answer:

Step-by-step explanation:

8 2

16 4

24 6

32 8

40 10

???

Answer:

Equation for total number of balls = 8x+6x+5x =19x where x represent a single tennis ball.

Step-by-step explanation:

Given that Kayla has;

8 red tennis balls

6 green tennis balls

5 blue tennis balls

Let;

red tennis ball be r

green tennis balls be g

blue tennis balls be b

The total number of tennis balls is 8+5+6=19 balls

Multiplication is a repeated form of addition where ;

5*5*5 = 3*5= 5+5+5= 15

In this case, r+g+b=19 but r ,g and b are not repeated thus applying multiplication equation will not give the sum of the balls

However if you let a single ball to be represented by x then a single ball x will be multiplied by the number of balls in that category to get the total number of balls per color

For red balls= 8x

For green balls=6x

For blue balls=5x.

Total number of balls = 8x+6x+5x =19x where x represent a single tennis ball.

To find the total number of tennis balls Kayla has, she needs to add the number of each color of balls together, not multiply. When she adds 8 red, 6 green, and 5 blue balls, she gets 19 tennis balls in total.

In this case, Kayla doesn't need to use a multiplication equation to find out the total number of tennis balls she has. Rather, she just needs to add the numbers together. Kayla has 8 red tennis balls, 6 green tennis balls, and 5 blue tennis balls. So, to figure out how many tennis balls she has in total, she simply adds these numbers together: 8 + 6 + 5 = 19 tennis balls in total.

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Answer:

The answer is metastatic

Explanation:

metastasis is the spread of cancer cells from the place where they first formed to another part of the body. 

Answer:

Option D, 32

Step-by-step explanation:

Step 1:  Identify the equation

6y = 192

Step 2:  Solve for y by dividing both sides by 6

6y / 6 = 192 / 6

y = 32

Answer:  Option D, 32

Answer:

d

Step-by-step explanation:

the coordinate of k would be (-6,10.5)

Answer:

its near 1 mile or half a mile

Answer: x=7

Step-by-step explanation:

×+4=4×-17

×-4×=-17-4

-3×=-21

×=-21/-3

×=7

4    180

8    360

12   720

The formula is x*2 | y * 2

Hey there!

Let's set up a proportion to figure this out.

[tex]\frac{x}{y} =\frac{4}{180} =\frac{8}{360} =\frac{12}{y}[/tex]

As we can see, 180 is being added each time, on the bottom. If we continue with the pattern, we get that your final blank will be 540.

I hope this helps! Have a great day!

Answer: x+b>c/x

Step-by-step explanation: hope it helps please give brainliest!

Answer:

what kind of math is that?

Answer:

14 4/5 went by car.

Out of 15 friends traveling to Washington DC, 6 went by bus, 5 by metro, and 4 by car, making the fraction that went by car 4/15.

To find out how many friends traveled by each mode of transportation to Washington DC and what fraction went by car, we can follow these steps:

So, the fraction that went by car is 4/15.

Summary of transportation mode:

Slope of v: a=(9-14)/(10-1)=-5/9

Slope of w: b=-1/a=9/5=1.8

Answer:

D)

Step-by-step explanation:

i got it corect on the test

Answer:

i got the wrong answer when i picked d and the answer is group b

Step-by-step explanation:

Answer:

17p:34p:17p

Step-by-step explanation:

68p/(1+2+1)=

17p(1):17p(2):17p(1)=

17p:34p:17p

Using the cost equation C = $25 + ($1.50 x M), we solve for the greatest number of miles Kelly can travel with an $80 budget, which is 36 miles after rounding down to the nearest whole number.

To determine the greatest number of miles Kelly can travel, we use the equation provided by the truck rental company. The total cost of renting a truck is composed of a one-time fee and a per-mile charge. To begin, we subtract the one-time fee from the total budget to find out how much money is left for the per-mile charges.

The equation representing the total cost (C) for the miles (M) driven is:

C = $25 + ($1.50 × M)

Kelly has $80 to spend, so we set the total cost equal to $80:

$80 = $25 + ($1.50 × M)

Now, we solve for M:

$55 = $1.50 × M

M = $55 / $1.50

M = 36.67

Since Kelly cannot travel a fraction of a mile, we round down to the nearest whole number. The greatest number of miles Kelly can travel is 36 miles.

Answer:

Yes

Step-by-step explanation:

2/5 + 3/4 = [2(4) + 3(5)]/20

= 23/20 = 1 3/20

1 3/20 = 1 9/60

1 1/6 = 1 10/60

1 1/6 > 1 3/20

Answer:

Step-by-step explanation:

65=5x (5x means 5 X as many bikes)

so 65=5x

x=13 bikes in stock (65 is divisible by 5)

In this problem, we know that Harry saved $100 each week for 8 weeks. In other words, he saved a total amount of money:

[tex]\text{Amount of money saved}=8\times 100=\$800[/tex]

We know that he earned $48 on his savings of $800, so for every $100 the interest (I) he earns is:

[tex]I=\frac{48}{8}=\$6[/tex]

So, in conclusion Harry did earn $6 in interest for every $100