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Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( isolate b by subtracting mx from both sides )

y - mx = b

Answer:

b=y-mx

Step-by-step explanation:

You need to get b by itself, so you subtract mx.

Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore,  the value of b using the Pythagoras theorem can be written as,

[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]

As we  got the value of b, now the value of each of the four hypotenuses can be written as,

[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]

Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

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Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

Answer:

graph it and all of the #s will be negitive

Step-by-step explanation:

Answer:

W: (1, 4)

X: (4, 4)

Y: (6, 2)

Z: (5, 1)

Step-by-step explanation:

Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)

J: (-4, 1) ⇒ W: (1, 4)

K: (-4, 4) ⇒X: (4, 4)

L: (-2, 6) ⇒ Y: (6, 2)

M: (-1, 5) ⇒ Z: (5, 1)

combine all like terms!

that would be 3n-n and 7-3, which would leave you with 2n and 4

simplified, it would be 2n+4 :)

Answer:

a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p

Step-by-step explanation:

The angles pairs and the transversal connecting them are:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

Note the following about what a transversal is:

Let's determine the transversal connecting the following given angles:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

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Answer:

2 : 3

Step-by-step explanation:

We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:

4 / 6  ⇒  the ratio here would be 4 : 6

We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:

4/2 : 6/2  ⇒  2 : 3

2 and 3 don't share any factors other than 1, so we leave the ratio like this.

The answer is thus 2 : 3.

~ an aesthetics lover

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

[tex]m=\frac{-9}{9}[/tex]

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

I believe it is B) 4

The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.

Answer:

35.65 feet

Step-by-step explanation:

Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose

The brown hose is 10.75 feet

The green hose is 16.4 feet

The black hose is 8.5 feet

Therefore the farthest distance that the one hose can reach can be calculated as follows

= 10.75 + 16.4 + 8.5

= 35.65 feet

Hence the farthest distance that one hose can reach is 35.65 feet

Answer:

90 yards of string

Step-by-step explanation:

You multiply the 45 Balloons and 6 feet of string. Then u divide it by 3 bc there are 3 yards is a feet.

Answer:

295

Step-by-step explanation:

After 9 years, Alexander will have $295 in his bank account.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For Alexander, S = sum of money after the total period of investment.

P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.

Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5

≈ $295

Hence, after 9 years, Alexander will have $295 in his bank account.

Learn more about compound interest here: brainly.com/question/25857212

#Tag #SPJ2

4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where -2 is the slope (m) and -5 the y-intercept (b)

the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us

3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:

y = -2x+17

An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10

Thus, dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where, -2 is the slope (m) and -5 the y-intercept (b)

Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.

Then Plugging in 7 and 3 for x and y gives us;

3 = -2(7)+b

3 = -14+b

17 = b

Therefore, our new line’s equation:

y = -2x+17

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#SPJ2

Answer:

A Clydesdale drinks 840 gallons of water in 28 days.

Step-by-step explanation:

120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3 * 3 * 3 = 27

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.

Step-by-step explanation:

2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).

$2.75 (1.6) = $4.40

$4.50 + $4.40  = $8.90

Answer:

sup

Step-by-step explanation:

jk it's true

Answer:

False

Step-by-step explanation:

-7(x^2-5x+3) is the same as -7x^2+35x-21 the original question had the wrong sign for the 35x, a negative times a negative is a positive.

Answer:

0.09, 19.4, 0.49, 0.049, 0.491

Step-by-step explanation:

Answer:

Step-by-step explanation:

quadrant 4 (x is positive and y is negative)

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

Answer:

[tex] {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955[/tex]

Answer:

x = 2√5

Step-by-step explanation:

Hi there !

x² = 20

x²  = 4×5

x² = 2²×5

x = √2²×5

x = 2√5

Good luck !

Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

Thus,each ticket will cost at most $19

Answer:

rationale

Step-by-step explanation:

step by step instructions

Answer:

Irrational

Step-by-step explanation:

The decimal doesn't terminate.

Answer:

0

Step-by-step explanation:

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

Answer:

D. 2

Step-by-step explanation:

The rise is +2. The run is +1. Slope = (rise/run) = (+2/+1) = 2