8. What is the equation of the function shown in the graph?
Yaxs
B.
C.
y=-3x
y=3x
y= x
y=-3x
Xanl

The equation of the line perpendicular to the given line passing through the point   \((-2, 3)\) is  \(y = -3/2 x + 15/2\) , which is not one of the options provided.

To find the equation of a line parallel to a given line, we need to use the fact that parallel lines have the same slope.

The given line has a slope of  \(2/3,\)so the parallel line we're looking for will also have a slope of \(2/3\). Using the point-slope form of a line, we can write:

\(y - y_{1} = m(x - x_{1} )\)

where m is the slope and \((x_{1} , y_{1} )\) is the given point. Substituting the values we have:

\(y - 3 = (2/3)(x - (-2))\)

\(y - 3 = 2/3 x + 4/3\)

\(y = 2/3 x + 13/3\)

So the equation of the line parallel to the given line passing through the point  \(t (-2, 3) is y = 2/3 x + 13/3\), which is option A.

To find the equation of a line perpendicular to a given line, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 2/3, so the perpendicular line we're looking for will have a slope of -3/2. Using the point-slope form of a line again, we can write:

\(y - y_{1} = m(x - x_{1} )\)

where m is the slope and  \((x_{1} , y_{1} )\) is the given point. Substituting the values we have:

\(y - 3 = (-3/2)(x - (-2))\)

\(y - 3 = -3/2 x - 9/2\)

\(y = -3/2 x + 15/2\)

Therefore,  the equation of the line perpendicular to the given line passing through the point \((-2, 3) is y = -3/2 x + 15/2,\) which is not one of the options provided.

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Answer:

i dont know maybe you should search google. best of Luck

Step-by-step explanation:

Answer:

The answer is D) Y = 3/4x-2

Step by step explanation:

3x - 4y = 8

Express it in the term of y.

Subtract 3x from both sides:

3x - 4y - 3x  = 8 - 3x

- 4y = 8 - 3x

Divide both sides by -4

-4y/-4 = (8 - 3x)-4

y = 8/-4 - 3x/-4

y = -2 - (-3/4x)

y = -2 + 3/4x

y = 3/4x - 2

Answer:

105

Step-by-step explanation:

X=8

Y=20

So,

x/y = 8/20

     = 2/5

x=(2/5)y

y= (5/2)x

When x=42

y=(5/2)×42

  =105

Answer:

54

Step-by-step explanation:

6(+647)

34-56+78%25

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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After solving the equation, the value obtained for m ∠B will be equal to 132°.

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the given information in the question,

The inside angle plus the external angle add up to 180°.

So,

m ∠B = (14x − 22)°

14x - 22° + 6x - 18° = 180°

14x + 6x - 22° - 18° = 180°

20x - 40° = 180°

20x = 180° + 40°

20x = 220°

x  = 220° / 20

x = 11°

Now, let's find m∠B.

m ∠B = (14x − 22)°

Put x = 11° in above equation,

m ∠B = (14(11) − 22)°

m ∠B = 154° - 22°

m ∠B = 132°.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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\(\sin^2(\theta)+\cos^2(\theta)=1\hspace{9em} \begin{array}{llll} \textit{Symmetry Identities} \\\\ \sin(-\theta )=-\sin(\theta) \\\\ \cos(-\theta )=\cos(\theta ) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\cot(-x)\cos(-x)+\sin(-x)\implies \cfrac{\cos(-x)}{\sin(-x)}\cos(-x)+\sin(-x) \\\\\\ \cfrac{\cos(x)}{-\sin(x)}\cos(x)+[-\sin(x)]\implies \cfrac{-\cos^2(x)}{\sin(x)}-\sin(x) \\\\\\ \cfrac{-\cos^2(x)-\sin^2(x)}{\sin(x)}\implies \cfrac{-( ~~ \cos^2(x)+\sin^2(x) ~~ )}{\sin(x)} \\\\\\ \cfrac{-( ~~ 1 ~~ )}{\sin(x)}\implies -\cfrac{1}{\sin(x)}\implies -\csc(x)\)

Answer:

D

Step-by-step explanation:

perimeter of square = 4 length of its sides

x represents the side lengths

y represents the perimeter of the a square

y = ax + b

a = slope = y2-y1 / x2 -x1

= 8-4 / 2-1 = 4

y = 4x + b

from any point (1,4 )

4 = 4 .(1) + b

b= 0

y = 4x

Answer:

8

Step-by-step explanation:

Check the picture below.

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Answer:

Depends. But I think B, One solution most of the time. Not sure if that is correct though.

Step-by-step explanation:

Standard form of quadratic function with leading coefficient 1,

x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

As given in the question,

Given :

y is the dependent variable of the required quadratic function.

x  is the independent variable of the required quadratic function.

Leading coefficient of quadratic function is 1

X-intercept of the required function is 7 and 10

Standard form of required quadratic function is equal to

y = k (x-a)(x -b)

Here k=1 , a=7 , b=10

y = 1 (x -7)(x - 10)

⇒ y = x² -7x -10x +70

⇒ y= x² -17x +70

Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

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Answer:

\(\frac56\) cups

Step-by-step explanation:

The serving size is proportional to the amount of milk used, so we have

\(\frac{2/3}{4/5}=\frac x1\)

where \(x\) is the amount of milk needed for 1 serving. The right side is simply \(x\). We now simplify

\(x=\frac23\cdot\frac54=\frac{10}{12}=\frac56\)

Therefore \(\frac56\) cups of milk are needed for 1 serving.

The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer:

585

Step-by-step explanation:

guplyhfpjfyodyfuco

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Given the area of a square = 100mm square

Also the area of a rhombus = 80mm square

To solve for the area of the shaded region , you will calcuate the area of the triangle out of the two shape, then subtract the area of the triangle from the rhombus and also from the square.

Hence the area of the Shaded region = 44mm square

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

The answer is below

Step-by-step explanation:

12m  

Because you Multiply 6*2=12m

Hope this helps

Based on the fact that the Opposite sides of Square PQRS are parallel, then, the opposite sides of Square P'Q'R'S' will be parallel and equal as well.

The transformations that Square PQRS could have gone through include translation, rotation, reflection, and dilation.

These transformations can change the size of the shape, but they won't change the structure of the shape.

This means that if the opposite sides of Square PQRS are parallel and equal, the opposite sides of Square P'Q'R'S' will be parallel and equal as well.

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Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer: -10y+25

Step-by-step explanation:

-5(2y)=-10y

-5(-5)=25

Answer:

-10y + 25

Step-by-step explanation:

apply the distributive property:

-(a-b) = -a + b

so,

-5(a-b) = -5a + 5b

finally,

-5(2y-5)

=

-10y + 25