Use trigonometry to determine the m

Answer:

m=9/5

Step-by-step explanation:

The slope of equation [tex]y=\frac{3}{2}x+6[/tex] is [tex]m=\frac{3}{2}[/tex].

The equation of line perpendicular to another line in point slope form:

[tex]y-y_1 = -\frac{1}{m}(x-x_1)[/tex]

Substitute [tex]m=\frac{3}{2}[/tex] and the point [tex](-3,4)[/tex] into the above equation form:

[tex]y-4=-\frac{1}{3/2}(x-(-3))\\y-4=-\frac{2}{3}(x+3)\\-----------\times 3\\3y-12=-2(x+3)\\3y-12=-2x-6\\2x+3y-12+6=0\\2x+3y-6=0[/tex]

Hence the equation of the line is [tex]2x+3y-6=0[/tex].

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The inequality in terms that represents all times when the soup is cool enough for Raj to take it out of the freezer is:

170 - 30h ≤ 74

Given, Raj has put a soup intot he freezer to cool down.

The soups temperature started at 170 °F and decreased at a rate of 30 °F per hour.

Let h represent the number of hours the soup stays in the freezer.

Raj wants the soup to cool down so that its temperature, when he takes it out of the freezer, is at most 74 °F.

we are asked to determine  an inequality in terms of that represents all times when the soup is cool enough for Raj to take it out of the freezer.​

⇒ 170 - 30h ≤ 74

⇒ 170 - 74 ≤ 30h

⇒ h ≥ 3.2

Hence we get the required inequality form.

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Answer:

A

Step-by-step explanation:  The lines are only intersecting with each other once

Answer:

A) 1 solution; consistent and independent

Step-by-step explanation:

on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.

Hopes this helps please mark brainliest

The method Josh was using to solve the equation is completing the square method.

x² - 6x -7 = 0

a = 1

b = -6

c = -7

x² - 6x = 7

Find the half of b and square it, then add to both sides

x² - 6x + 9 = 7 + 9

factorize the expression on the right

(x - 3)² = 16

(x - 3) = √16

x - 3 = ± 4

x = 4 - 3 or x = -4 - 3

x = 1 or -7

Therefore, the correct answer to the quadratic equation using completing the square method is x = 1 or -7

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Answer:

10

Step-by-step explanation:

1x5=5

2x5=10

Answer: 3.375oz

Explanation

Given

• Reduce his daily soda intake by ​25%.

• Currently, he drinks 4.5oz. cans of soda per day.

• Ounces of soda can the patient drink if he reduces his intake by 25​%?

We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):

Solving for x:

Answer:

Option B,A,C is correct

Explanation:

You're missing some info. But I did this question before.

A. 11x100

B. 11,000

C. 11x10x10x10

THESE ARE ALL CORRECT SINCE THEY ALL EQUAL 11000 .

Solution:

Given the coordinates of the image;

The coordinates of the new image is;

Let's begin by identifying key information given to us:

(4x +1)(4x -1)​

Apply the distributive property:

4x (4x ) + 4x (-1) + 1 (4x) + 1 (-1)

16x^2 -4x + 4x -1

Combine like terms:

16x^2-1

Answer:

16x² - 1

Step-by-step explanation:

(4x + 1)(4x - 1)

each term in the second factor is multiplied by each term in the first factor , that is

4x(4x - 1) + 1(4x - 1) ← distribute parenthesis

= 16x² - 4x + 4x - 1 ← collect like terms

= 16x² - 1

Answer:

y>= -27/16

Step-by-step explanation:

I just put in the calculator

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

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Answer :A i think

Step-by-step explanation:

Solution

We want to find the area and perimeter of the shaded figure.

The shape below is a rectangle

Therefore, the area of a rectangle is

while the perimeter of a rectangle is given by

Here, L = 2 unit and B = 3 units

Hence,

Area = 6 square units

Perimeter = 10 units

B

1) In this question, y stands for population, and x stands for year.

2) Since the first year is 2003, then 2020 -2003 = 17. Let's plug into x, this value:

3) Rounding off to the nearest whole number, the population of Iberian lynx will be approximately 3 lynxes.

The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:

Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.

Answer: 8n^2

Step-by-step explanation:

I did test and got 100

25 is the diagonal of tv with the given dimensions .

In geometry, a diagonal is a line segment connecting two vertices of a polygon or polyhedron that are not on the same edge. A diagonal is an informal term for any sloping line.

The length of diagonal is the length of the hypotenuse of a right angled triangle for which the lengths of the sides making right angle are 20" and 15", hence is

=

√20^2 + 15^2

=√400 + 225

= √625

= 25

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Answer:

IT IS 12

Step-by-step explanation:

By using the property of exponential function, the results obtained are

Base of the function is 5.

Initial value of the function is close to zero.

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2\times 2\times 2\times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a\times a....\times a[/tex] (m times), a is the base and m is the index.

Here,

[tex]y = 5^w[/tex] is an exponential function.

The base of the function is 5.

As [tex]x \rightarrow -\infty[/tex], the function tends to 0

So the initial value of the function is close to zero.

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Diameter of cylinder = 12 inches

radius of cylinder (r) = 1/2 x diameter = 6 inches

Height of cylinder (h) = 1.25 feet

We can convert feet to inches using the relation: 1 foot = 12 inches

So, 1.25 feet = 12 x 1.25 inches

=> 15 inches

The volume of the cylinder is given by:

Upon substituting the values of r and h

Using tha basic multiplication and division, Stan will need 960 sprinkles to make 60 cookies.

In the branch of mathematics known as algebra, a situation is described using mathematical symbols, variables, and arithmetic operations like addition, subtraction, multiplication, and division that produce meaningful mathematical expressions.

The sprinkles needed for 1 cookie are given by

24 cookies need sprinkles = 384

1 cookie will need sprinkles = 384 ÷ 24

= 16 sprinkles

Now, sprinkles needed for 60 cookies are given by

1 cookie needs sprinkles = 16

60 cookies will need sprinkles = 16 × 60

= 960 sprinkles

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The correct question is:

"Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p) he will need to make 60 cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make 60 cookies?"

Given the system of the equations:

y = x + 4

x + y = 2

By substitution with y from the first equation at the second equation

so,

x + (x+4) = 2

solve to find x

so,

x + x + 4 = 2

2x = 2 - 4

2x = -2

Divide both sides by 2

x = -2/2 = -1

Substitute at the first equation with x to find y

So, y = -1 + 4 = 3

so, x = -1 and y = 3

so, the order pair which a solution is (-1 , 3)

The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

According to the question,

We have the following information:

We have two lines that are intersecting each other at a point. The angles made on this point are given.

Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.

So, we will have the following equation:

3x-1 = 140

Now, we can easily find the value of x from this equation:

Adding 1 on both sides of the equation:

3x = 140+1

3x = 141

Dividing by 3 on both sides:

x = 141/3

x = 47°

Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

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The slope (m) of the given points is -9.

So, the slope will be:

Now, calculate as follows:

Therefore, the slope (m) of the given points is -9.

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Kayle have 1300 points after her 5th turn as the final score is sum of all score in the 5 rounds that come up to 1300.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The total amount or sum of the two whole numbers is obtained by adding them. Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more numbers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation. When you add two or more numbers together, you get the sum of the numbers. The sum is the outcome of adding two or more numbers.

Here,

The final score will be the sum of all scores after 5th turn.

initial score=500

first round=−550 points

second round=−150 points

third round=350 points

fourth round=1,150 points

500+-550+-150+350+1150

=500-550-150+350+1150

=1300 points

After her fifth turn, Kayle had 1300 points because the total of her five rounds' scores added up to 1300.

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The correct option 2 that is 30 children's tickets and 7 adult tickets were sold.

Given : A graph which has adult tickets in the x - axis

and children tickets in the y - axis

The marked point is  ( 30, 7 )

this means that the value of x axis 30 and y axis is 7

thus from the above information it is clear that there are 30 children's tickets and 7 adult tickets were sold.

So the correct option is Option 2

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Answer:

A. Pink 0.3 Green 0.2 Yellow 0.05 Blue 0.45

Step-by-step explanation:

Adding up the total number of values:

[tex]6+4+1+9=20[/tex]

Then, finding the probability of each color:

Pink: [tex]6/20=0.30[/tex]

Green: [tex]4/20 = 0.20[/tex]

Yellow: [tex]1/20=0.05[/tex]

Blue: [tex]9/20=0.45[/tex]

The  equation of line in point slope form created is

[tex]y - 3 = 1(x - 2)\\[/tex]

What is equation of line in point slope form?

The most general form of equation of line in point slope  form is given by

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

Where m is the slope of the line and ([tex]x_1, y_1[/tex]) is the coordinate of the point through which the line passes

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

Here

Let the line passes through ( 2, 3) and (4, 5)

Slope = [tex]\frac{5-3}{4-2}[/tex]

          = [tex]\frac{2}{2}[/tex]

          = [tex]1[/tex]

Equation of line in point slope form

[tex]y - 3 = 1(x - 2)\\[/tex]

This is equation of line in point slope form.

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