What’s the vertex of this graph??

The value of x will be equal to x = 79.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.

The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-

Angle = 180 - 142 - 19 = 19

Now applying Lami's theorem in the triangle we will get the third side.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

[tex]\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}[/tex]

[tex]x = \dfrac{42\times Sin 142}{Sin19}[/tex]

x = 79

Therefore the value of x will be equal to x = 79.

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Answer:

Step-by-step explanation:

Answer:

y=-2x -1

Step-by-step explanation:

(y-y1) = m(x-x1)

y-(-11) = -2(x-5)

y+11 = -2x + 10

subtract 11 on both sides thus

y = -2x -1

Answer:

1000

Step-by-step explanation:

50 × 11 + 50 × 9 ← factor out 50 from each term

= 50(11 + 9)

= 50(20)

= 1000

Answer:

Equation is 20 = 0.8 time x

x=25

Step-by-step explanation:

80% = 0.8

So to find x we 20/8

and we get 25 as the final answer

Answer:

The first graph

Step-by-step explanation:

The second graph does not have a point at (1, -2).

Answer:

i dont know

Step-by-step explanation:

sorry please be a bit more clear on what help you would like

Between Steps 1 and 2, the student added 6x to the left hand side, but subtracted 6x from the right hand side.

Answer:

[tex](x + y)(x - y)[/tex]

[tex](3.5 - 8.7)(3.5 + 8.7)[/tex]

[tex](-5.2)( 12.2)[/tex]

[tex]-63.44 [/tex]

Answer: [tex]y=3x-17[/tex]

Step-by-step explanation:

use point-slope form:

[tex]y_{1} -y=m(x_{1} -x)[/tex]

[tex]y-1=3(x-6)[/tex]

[tex]y-1=3x-18[/tex]

[tex]y=3x-17[/tex]

Answer:

equation: y = 3x - 17

[image attached]

Step-by-step explanation:

we know that the equation for a line is y = mx + b

we are given a point, (6, 1)

remember that a point is (x, y)

we can plug these sample x and y values into our equation, replacing x and y

 y = mx + b

 1 = m6 + b

we know that m = 3 [this was a given], so we can plug this into our equation

1 = (3)(6) + b

1 = (18) + b

1 = 18 + b       [we can now solve for "b"]

1 = 18 + b

-18    - 18

-17 = b

so, we can re-write our equation so that we can graph it:

y = 3x - 17

we can now plug in x-values to graph this:

(you'll see these written in the table on the graph)

y = 3(0) - 17

y = -17

y= 3(1) - 17

y = 3 - 17

y = -14

y = 3(2) - 17

y = 6 - 17

y = -11

y = 3(3) - 17

y = 9 - 17

y = -8

y = 3(4) - 17

y = 12 - 17

y = -5

y = 3(-1) - 17

y = -3 - 17

y = -20

y = 3(-2) - 17

y = -6 - 17

y = -23

y = 3(-3) - 17

y = -9 - 17

y = -26

[there is an image attached of my graph]

hope this helps!! :)

Answer:

y = -2x + 64

Explanation:

The x represents the time in minutes and y represents distance in km.

Determine coordinates: (0, 64), (17, 30)

Find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{30-64}{17-0} = -2[/tex]

Find equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

[tex]\sf y - 64 = -2(x - 0)[/tex]

[tex]\sf y = -2x + 64[/tex]

Answer:

-60

Step-by-step explanation:

The y- component of the vector is 18.31728 m

A quantity that has both magnitude and direction but not position.

The y- component is

Dy = 18.6* sin80

Dy = 18.6* 0.9848

Dy= 18.31728 m

Hence, the y- component of the vector is 18.31728 m.

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The attached graph below can represent the scatter plot of the points. the correct option is B.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale such as:

x: axis -> 1 interval = 10 units

y: axis -> 1 interval = 10 units

The attached graph below can represent the scatter plot of the points. the correct option is B.

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Answer:

Looks to me like it should be -2

Work Shown:

[tex](x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\[/tex]

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

Answer:  [tex]\textsf{y = -3}[/tex]

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Given: [tex]\textsf{Goes through (8, 2) and (12, -10)}[/tex]

Find:  [tex]\textsf{The slope of the line}[/tex]

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

Plug in the values

Simplify the expression

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

Answer:

The total amount , principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.055/2)^(2)(8)

A = 5,000.00(1 + 0.0275)^(16)

A = $7,717.55

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

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Answer: .00006kg

Step-by-step explanation:

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

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Answer:

$4

Step-by-step explanation:

Company $0.50

Store. $ 4.50

Price up $ X

4.50

- 0.50

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

4.00

X= $4.00

Answer: -2

Step-by-step explanation:

I will assume you meant [tex]f(x)=2x^{2}+6x+6[/tex].

[tex]f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore \frac{f(-3)-f(-1)}{-3-(-1)}=\frac{6-2}{-2}=\boxed{-2}[/tex]

The expressions for the number of measles are y = a(1.05)^x and y = a(1.1)^x

Let the initial number of measles in 2000 be represented as:

Initial = a

The rate of increase is given as:

Rate, r = 5.3%

The number of measles in x years after 2000 is represented as:

y = a * (1 +r)^x

Substitute r = 5.3%

y = a * (1 + 5.3%)^x

So, we have:

y = a * (1 + 0.053)^x

Evaluate the sum

y = a * (1.053)^x

To express to the nearest hundredth, we approximate to 2 decimal places

y = a(1.05)^x

To express to the nearest tenth, we approximate to 1 decimal place

y = a(1.1)^x

Hence, the expressions for the number of measles are y = a * (1.05)^x and y = a * (1.1)^x

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Answer:

420

Step-by-step explanation:

Answer:

V = 340 cm3

Step-by-step explanation:

Calculate the volume of the prism without the gap, then subtract the volume of the gap.

[tex]V=(5)(10)(8)-(3)(2)(10)=400-60=340cm^{3}[/tex]

Hope this helps

Answer: 10°

Step-by-step explanation:

Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.

This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.

[tex]f(x)-g(x)=(2x^{2}-1)-(3x-5)=2x^{2}-1-3x+5=\boxed{2x^{2}-3x+4}[/tex]

The speeds of the two cars will be 52 mph and 64 mph.

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is S = D/T

Two cars leave Chicago to go to a town in that suit up north.

One car is traveling 13 mph faster in it arrived in four hours the other car took five hours to get there.

Let the distance traveled by both cars is x.

Speed of the first car = x/5

Speed of the second car = x/4

So, the equation form will be

x/5 + 13 = x/4

(65 + x )/ 5 = x /4

4(65 +x ) = 5x

260  + 4x =5x

x = 260

Speed of the first car = x/5 = 52mph

Speed of the second car = 52 + 13 = 65 mph

The speeds of the two cars will be 52 mph and 64 mph.

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The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-

Y = 2x

Put y = 0.5

0.5 = 2 x 0.5 = 1

As we put y=0.5 we get the value of x = 1 as shown in the graph.

Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

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The total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A geometric sequence 1.5, -3, 6, -12 ....

The common ratio r = -3/1.5 = -2

1.5, -3.6, 6, -12, 36, -108, 324, -972, 2916, -8748

The total negative terms = 4

Thus, the total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

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The volume of the box is 9000 square cm if the box has the following dimensions height of 15cm width 30cm and depth of 20cm

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

An administrator is asked to file papers in a box that has the following dimensions height of 15 cm width of 30 cm and depth of 20 cm.

Let L be the length

W be the width

H be the height of the box:

Given:

L = 20 cm

W = 30 cm

H = 15 cm

The volume of the box

= 15×30×20  

9000 square cm

Thus, the volume of the box is 9000 square cm if the box has the following dimensions height of 15cm width of 30cm, and depth of 20cm

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