Answer:
[tex]\frac{y}{x}[/tex], the fourth option.
Step-by-step explanation:
Tan means [tex]\frac{opposite}{adjacent}[/tex] or opposite side divided by adjacent side.
Tan A equals the opposite side of the angle A divided by its adjacent side.
The side opposite of A is y and side adjacent to it is x.
So, Tan A equals [tex]\frac{y}{x}[/tex]!
The graph of the equation y = 4x + 8 is shown. Which TWO statements are correct?
es )
A)
The coordinate pair (0, 10) represents a point on the graph and a solution
to the equation.
B)
The coordinate pair (-1, 4) represents a point on the graph and a solution
to the equation.
0
The coordinate pair (-2, 1) represents a point on the graph and a solution
to the equation.
D)
The coordinate pair (-3, 2) represents a point on the graph and a solution
to the equation
E)
The coordinate pair (-4,-8) represents a point on the graph and a solution
to the equation.
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Options C and E are the correct answer.
We have,
The equation y = 4x + 8 represents a linear relationship between x and y.
To determine which statements are correct, we need to substitute the x-coordinate of each given coordinate pair into the equation and see if it satisfies the equation.
A) The coordinate pair (0, 10)
Substituting x = 0 into the equation: y = 4(0) + 8 = 8
So, (0, 10) does not satisfy the equation.
Statement A is incorrect.
B) The coordinate pair (-1, 4)
Substituting x = -1 into the equation: y = 4(-1) + 8 = 4 + 8 = 12
So, (−1, 4) does not satisfy the equation.
Statement B is incorrect.
C) The coordinate pair (-2, 1)
Substituting x = -2 into the equation: y = 4(-2) + 8 = -8 + 8 = 0
So, (−2, 1) does satisfy the equation.
Statement C is correct.
D) The coordinate pair (-3, 2)
Substituting x = -3 into the equation: y = 4(-3) + 8 = -12 + 8 = -4
So, (−3, 2) does not satisfy the equation.
Statement D is incorrect.
E) The coordinate pair (-4, -8)
Substituting x = -4 into the equation: y = 4(-4) + 8 = -16 + 8 = -8
So, (−4, -8) does satisfy the equation.
Statement E is correct.
Therefore,
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Learn more about coordinates here:
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What is one thing that you learned in math in this past year that you were proud to have accomplished? Take a few sentences to tell me about it.
Answer:
absolutely nothing
Step-by-step explanation:
lol im joking but i have learned how to use a bar model and how to use a x and y axis
Answer:
Well, I think my best accomplishment was being able to pass Algebra, I don't think I would be where I am had I not had the best teacher in the world, and honestly I thank her so much for having the patients to deal with me, an anxiety filled ADHD, hyper teen
Step-by-step explanation:
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 60 degrees and radius 8 centimeters. What is the area of the top surface of this wedge? Leave your answer in terms of pi.
Explain or show how you got your answer.
Answer:
1/3 x 8^2×pi(3.14)
Step-by-step explanation:
1/3 × 64 × 3.14
[tex]21 \frac{1}{3} \pi[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
B) 1/5
Step-by-step explanation:
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
find the slope (3,-6)(-1,4)
Answer:
slope is -5\2
Step-by-step explanation:
use the point point slope formula
A class has 16 boys and 20 girls. A prefect is to be chosen from the class. If
each student is equally likely to be chosen, calculate the probability that the
selected prefect is:
(a) a boy (b) a girl
Answer:
Step-by-step explanation:z
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
I WILL GIVE U BRAINLIEST ANSWER FOR 25 POINT the spinner shown has congruent sections the spinner is spun 63 times what is a reasonable prediction for the number of times the spinner will land on red theres 3 white sections 4 red
Answer:
I think that the answer is 47.25
The graph shows the amount of money in Craig's savings account cover a period of 20 months. What is the average amount of increase per month in Craig's savings account between months 5 and 10
Answer:
D. $350
Step-by-step explanation:
On the 5th month, he has $500, on the 10th month, he has $850. Subtract $500 from $850 to get the average on $350
Answer:
should be about 350 I think I did this problem before sooo
Step-by-step explanation:
I'm not good at explaining
What is the value of x
Answer:
E. 128°
Step-by-step explanation:
X+52°=180°X=52°-180°X=128°can you solve 3(x+1)-5 = 3x-2 for me ?
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
solve for X
10x + 5= - 32
a. X= -2.7
b. X= -3.7
c. X= -270
d. X= -370
Answer:
x=-3.7
Step-by-step explanation:
PLSSSSSS HELP!WILL PUT BRAINLIEST!
Answer:
x<2
Step-by-step explanation:
x<2;
The open circle means that this inequality is not inclusive.
If the circle was filled in the inequality would have been x[tex]\leq[/tex]2
If your initial principal is $243 and your principal in 2 years is $1,359.19, how much interest did you earn?
Answer: $1,116.19
Step-by-step explanation:
If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:
= Current principal - Initial principal
= 1,359.19 - 243
= $1,116.19
12/4 = 12 1/4 True or False
Answer:
False
Step-by-step explanation:
12/4=3
3 does not equal 12 1/4
please help ASAP! (18 points! Thanks in advanced!)
5/8 + 3/4 divided by -2/3 - 5/6
Answer:
11/12
Step-by-step explanation:
Help me solve this math problem
Juan purchased a T-shirt for $18 plus sales tax. Sales tax is 4.5%. How much sales tax did Juan pay????
A sign on the road says " Speed limit, 60 miles per hour. Let s be the speed of car.Write an inequality that matches the information on the sign
Answer: s ≤ 60
Step-by-step explanation:
The common inequality signs include:
> which is greater than
< which is less than
= which is equal to
≥ which is greater than or equal to
≤ which is less than or equal to
Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:
s ≤ 60
The above means the speed is less than or equal to 60 miles per hour
what is 1/9 x 3 thanks
Answer:
it is 1/3
Step-by-step explanation:
also you can type (1/9)x3 into g o o g l e
pls mark brainliest (it is the crown)
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
have a great day!
help please I’ll mark brainliest
Answer:
a. east
b. 60 feet per second
Step-by-step explanation:
did this a while ago.
a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.
b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.
please help me answer the question
the radius of the circle is 9 meters what is the circles circumfrence
Answer:
c = 18π exact answer
c = 56.52 decimal approximation
Step-by-step explanation:
c = 2πr
c = 2π * 9
c = 18π exact answer
Using 3.14 for π
c = 18 * 3.14
c = 56.52 decimal approximation
what is the acronym to remember the trigonometric functions and their ratios
Answer:
Some People Have Curly Brown Hair Turns Permanently Black
Step-by-step explanation:
Sin=p/h
Cos=b/h
Tan=p/b
Answer:
"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2) (3) Other mnemonics include.
Step-by-step explanation:
Bobby scores m marks in a test
A. Dan scores two marks less than Bobby. write down an expression for Dan's marks in terms of m
Answer: M-2 or M substracted by 2
Step-by-step explanation:
(7x+4) (5x-16) (6y-4) find the value of x and y.
Answer:
hgggggggggggggggggggggggggggggggggjkghjgjkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
Given an arithmetic sequence described by the formula a= -2(n - 1) + 7 find a^28
Answer:
-47
Step-by-step explanation:
Given the arithmetic sequence described by the formula;
a= -2(n - 1) + 7
To get a28, we will substitute n = 28 into the expression
a28 = -2(28-1)+7
a28 = -2(27)+7
a28 = -54+7
a28 = -47
Hence a28 is -47