Which graph matches the following statement? You are driving a steady speed, then stop for a train. When the train passes, you resume your speed. ​

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Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the triangle proportionally.

The base segment to the right of the bisector is 6-x, so we can write the proportion ...

  x/6 = (6-x)/4

Multiplying by 12, we get ...

  2x = 3(6 -x)

  5x = 18 . . . . . add 3x

  x = 18/5 . . . .  divide by 5

  x = 3.6

_____

Alternate solution

Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:

  left-part / sum-of-both-parts = x/6 = 6/(6+4)

Then the solution is x = 6(6/10) = 36/10 = 3.6.

Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."

Answer:

Step-by-step explanation:

It's about +- 2.2. It equals 2.236067977 but can be rounded to 2.2. When you square root, the answer could be positive or negative.

The square root of 5 to the nearest tenth  is 2.2.

We have to find out the square root of 5 that should be the nearest tenth.

So, the following procedure should be followed:

[tex]= \sqrt{5}\\\\= 2.2360679[/tex]

= 2.2

Therefore we can conclude that the square root of 5 to the nearest tenth  is 2.2.

Learn more about the square root here: brainly.com/question/9664917

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

Answer:

DRFHDFG

Step-by-step explanation:

6=6+4

Answer:

0.45 = 9/20

38% = 19/50

27/50 = 0.54

0.68 = 17/25

80% = 4/5

Step-by-step explanation:

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

Answer:

The first one is the right answer

Step-by-step explanation:

Hope this helps have a good day

Answer:

the first one is right

Step-by-step explanation:

Answer:

The answer is -70

Step-by-step explanation:

How I got the answer.....

-21-49 = -70

Hope this helps! :)

Answer:

its the first top one the 3rd one and the bottom one

Step-by-step explanation:

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

Answer:

If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

Answers:

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

-------------

Side notes:

4²= 16

Work - 4 x 4 = 16

Work - 2 x 2 x 2 x 2 = 16

Work - 8 x 8 = 64

Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256

Answer:

50 Degrees

Step-by-step explanation:

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

Answer:

bx-4x^2+x+6

Step-by-step explanation:

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.

-3 is the smallest, so you go see the integers above it that are equal or less than 3.

Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.

So then the answer should be

-3, -2, -1, 0, 1, 2, 3

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

Answer:

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

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