What are the slope and y-intercept of the line
represented by the points shown in the table?
O slope: 2, y-intercept: -20
Oslope: 2, y-intercept: 10
Oslope: 5, y-intercept: -20
O slope: 5, y-intercept: 10
Answers
The slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Taking two points to find the slope of the line:
(0, -20) and (5, -10)
[tex]\rm m =\dfrac{-10+20}{5-0}[/tex]
m = 2
The straight line equation:
y = mx + c
y = 2x + c
Plug (0, -20)
-20 = c
Thus, the slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
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Related Questions
help would be greatly appreciated!
Answers
Answer:
D the answer is D, thats when cos and sin are equal together
writes 25 x 10 to the power of 6
Answers
[tex](25*10)^6[/tex]
Sure hope this helps you
And please mark me brianiest if this is correct
someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?
Increase in price:
Price of next model:
Answers
Answer:
Step-by-step explanation:
1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.
Increase in price:
= 53000 * 0.069
= $3657
2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.
Price of next model:
= 53000 + 3657
= $56657
what are the dimensions for matrix c
Answers
Because matrix A has 3 rows, and matrix B has 2 columns, matrix C will be a 3x2 matrix. 3 rows, 2 columns.
Answer:
it is c I hope this helps you.
What is the measure of angle D?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
Answer:
29.05°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...
Tan = Opposite/Adjacent
__
Using the given values, we have ...
tan(D) = (25 ft)/(45 ft) = 5/9
The value of the angle is found using the inverse tangent function.
D = arctan(5/9) ≈ 29.05°
The measure of angle D is about 29.05°.
Does anybody understand this? Been struggling with it for awhile. Use the rectangle to find the measure of the following angles. BAC=25
Answers
Answer:
∠CBA =90°; ∠CAD =65°; ∠ACD =25°; ∠CBD = 65°
∠BWA = 130°; ∠AWD = 50°
Step-by-step explanation:
The diagonals of a rectangle divide the figure into two pairs of congruent isosceles triangles. The figure is symmetrical about both the vertical and horizontal centerlines. Each corner angle of the rectangle is 90°. Of course, the sum of angles in any of the triangles is 180°.
__
The above descriptions tell you ...
∠ABD =∠ACD =∠BAC =∠BDC = 25°
∠CBA =∠BCD =∠CDA =∠DAB = 90°
∠CAD =∠CBD =∠ACB =∠ADB = 90° -25° = 65°
∠BWA =∠CWD = 180° -25° -25° = 130°
∠AWD = ∠BWC = 180° -65° -65° = 50°
can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
(Integers)
Answers
Answer:
is this the answer
Step-by-step explanation:
I (-121)+...=11
=(-121)+132
=11
II -81/27
=-3
explain the steps
for solving the following.
3√3+4√3
Answers
Answer:
[tex]7 \sqrt{3} [/tex]
Step-by-step explanation:
Simply combine like radicals:
[tex]3 \sqrt{3} + 4 \sqrt{3} = 7 \sqrt{3} [/tex]
Determine the missing value, x. Then, classify the triangle by side and by angle measure.
Question in below;
Answers
The value of x in the right angle triangle is approximately 45 degrees.
How to find an angle in a right angle triangle?The angle of the right angle triangle can be found as follows:
Therefore, let's find the hypotenuse side using Pythagoras theorem,
6² + 6² = c²
c² = 72
c = √72
c = 8.48528137424
c = 8.5 cm
Hence,
sin x = opposite / hypotenuse
sin x = 6 / 8.5
sin x = 0.70588235294
x = sin⁻¹ 0.70588235294
x = 44.9006818301
x = 45°
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I need help solving this
Answers
The end behavior of the function is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the correct statement is the second one.
How is the end behavior of the graphed function?
For a function f(x), the end behavior is how f(x) behaves when:
x ⇒ ∞x ⇒ -∞If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.
Then the end behavior is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the true statement is the second one.
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Write in the slope-intercept form an equation of the line that passes the given point
1 (0,1) , (2,4)
2 (-3,1) , (0,4)
Please show work :) for brainliest
Answers
Answer:
1) y = 1.5x + 1
2) y = x + 4
Explanation:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
1)[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]
Equation:
[tex]\sf y - y_1 = m(x-x_1)[/tex]
[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]
[tex]\sf \rightarrow y = 1.5x + 1[/tex]
2)[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]
Equation:
[tex]\sf y - y_1 = m(x-x_1)[/tex]
[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]
[tex]\rigtharrow \sf y = x + 4[/tex]
The price of a box of colored pencils increased from $8.00 to $8.48. What was the percent increase in the price?
Answers
Step-by-step explanation:
100% = $8.00
1% = 100%/100 = 8/100 = $0.08
the price went up by $8.48 - $8.00 = $0.48.
how many % is this ?
as many % as 1% fits into this difference :
0.48 / 0.08 = 6%
the price increase was 6%.
A special-edition model of a smart watch is sold in gold, green, blue, or red. ernie's electronics sold 234 of these smart watches last week. they sold twice as many red watches as gold watches. they sold 3 times as many green watches as gold watches. they sold the same number of blue watches as green watches. how many green smart watches did the store sell last week?
Answers
The number of green watches that were sold is 78
How to determine the number of green watches?The given parameters are:
Total =234Red = 2 * GoldGreen = 3* GoldBlue = GreenThe number of watches can be represented as
Gold + Green + Blue + Red = 234
Substitute Blue = Green
Gold + Green + Green + Red = 234
Gold + 2 * Green + Red = 234
Substitute Red = 2 * Gold
Gold + 2 * Green + 2 * Gold = 234
Evaluate the like terms
2 * Green + 3 * Gold = 234
Make Gold the subject in Green = 3* Gold
Gold = Green/3
Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234
2 * Green + 3 * Green/3 = 234
Evaluate the product
2 * Green + Green = 234
Evaluate the sum
3 * Green = 234
Divide both sides by 3
Green = 78
Hence, The number of green watches that were sold is 78
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100 points! plus brainlyist!
Answers
Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).
The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m
Answers
The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The height of Nasim kite above the ground is 51.79 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height from Nasim hand to the kite, hence:
sin(28) = h / 105
h = 49.29
Kite height above the ground = 2.5 + 49.29 = 51.79 feet
The height of Nasim kite above the ground is 51.79 feet
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There are two squares. the perimeter of square x is half the perimeter of square y.
how do the areas of the two squares compare?
o a. the area of square x is one-sixteenth the area of square y.
o b. the area of square x is one-eighth the area of square y.
oc. the area of square x is one-fourth the area of square y.
d. the area of square x is one-half the area of square y.
Answers
The area of square x will be one-fourth of the area of square y. Then the correct option is C.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
There are two squares.
The perimeter of square x is half the perimeter of square y.
Let the side of the square x be a and the side length of the square y be b. Then we have
Perimeter x = Perimeter y / 2
4a = 2b
2a = b
Then the area of the square x will be
Area of square x = (2a)²
Area of square x = 4a²
Then the area of the square y will be
Area of square x = (b)²
Area of square x = b²
Then the area of square x will be one-fourth of the area of square y.
Thus, the correct option is C.
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Write 6.14 x 10^-5 in Standard Form
Please help :)
Answers
Answer:
0.0000614
Step-by-step explanation:
Since it’s a -5 it’s 5 places back
Hope this helps! ;-)
What is a simpler form of the expression?
(4k + 5)(3k^2 - 4k - 4)
Answers
Answer:
[tex]12k^3 -k^2-36k-20[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](4k + 5)(3k^2 - 4k - 4)[/tex]
[tex](4k * 3k^2)+(4k*-4k)+(4k*-4)+(5*3k^2)+(5*-4k)+(5*-4)[/tex]
[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]
Step 2: Combine like terms
[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]
[tex]12k^3 -k^2-36k-20[/tex]
Answer: [tex]12k^3 -k^2-36k-20[/tex]
which is closer to 12? 11.96 or 12.0321
Answers
Answer:The answer is 12.0321
Step-by-step explanation:
This is the answer because I’m order to get to 12 from 11.96, you would have to go up .4 and to go back to 12 from 12.321 it would be less then .4
PLEASE HELP ILL GIVE BRAINLIST OR WHATEVER
Answers
Answer:
1) $181.40
2) $100
3) $81.40
Step-by-step explanation:
Interest rate is 1.5% which mans that the decimal multiplier is 1.015.
1) To find for 40 yrs we do:
40 yrs = 100 x [tex]1.015^{40}[/tex]
= $181.40
2) He contributed $100
3) He gained $181.40 - $100
= $81.40
Kayley needs to find the area of a circle. Which process should she use?
Answers
Answer:
Find the radius then square it, and multiply by pie.
r = 3
π = 3.14159
a = πr2
a = π(3)2
a = π(9)
a ≈ 28.27
Step-by-step explanation:
You just need to find the diameter of a circle, then halve it and plug in the information to the formula above.
If sis equal to 16,c is equal to 14m and b is equal to 19m ,find the angles of 5he triangle ABC with following work steps
Answers
Answer:
Below in bold.
Step-by-step explanation:
a = 16, b = 19 and c = 14.
By the Cosine Rule:
cos A = (a^2 - b^2 - c^2) / -2bc, so:
cos A = ( 16^2 - 19^2 - 14^2) / (-2*19*14)
= -301 / - 532
= 0.565789
m < A = 55.54 degrees.
Now Using the Sine Rule:
a / sin A = b / sin B
16 / sin 55.54 = 19/sin B
sin B = 19 * sin 55.54 / 16
= 15.666 / 16
= 0.979125
m < B = 78.27 degrees.
Finally
m < C = 180 - 55.54 - 78.27 = 46.19 degrees.
1. You and your friends receive a lunch bill for $22.50 before tax is included. The sales tax in your state
is 8%. What is the total cost when the tax is included?
Answers
Answer:
$24.30
Step-by-step explanation:
8% of 22.50 = $1.8
$22.50 + $1.8 = $24.30
Give brainliest, please!
Hope this helps :)
Lisa
and penny are guests at a beachside hotel. lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. when shi
looks up at an angle of 54.5 degrees, she can see her sister penny waving to her from the hotel window.
draw a scale representation of the triangle that models the situation and can be solved to find the stralght-line distance between penny
and lisa. round calculations to the nearest foot. each unit on the grid represents five feet.
drawing tools
click on a tool to begin drawing.
& delete
undo
0 reset
select
point
line segment
Answers
The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Let's suppose the distance between the Lisa and Penny is x feet.
We can draw a right-angle triangle for this situation.
As we can see in the right angle triangle.
tan54.5 = x/50 (from the right-angle triangle)
x = 50tan54.5
x = 70.09 ≈ 70.1 feet
Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
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I’ll give brianliest to anyone who can help me.
Answers
Answer:
the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same
Step-by-step explanation:
A campaign manager is creating campaign signs that advertise his political candidate. The campaign manager would like to maximize the surface area of the signs so that passersby have the greatest chance of seeing them. In keeping with local campaign laws, the campaign signs must have a perimeter of 160 inches. Explain how the campaign manger can find the width and height of the signs that maximize area. Round your values to the nearest tenth of a square inch.
Will mark brainliest please help!!
Answers
So if length be L and width be B
We know
Perimeter
2(L+B)So if he wants to create a rectangle advertisement
2(L+B)=160L+B=80The sum of length and breadth must be 80
If it's square
4S=160S=40inIt should have side as 40in
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answers
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
please help thanks :)
Answers
The equation of line A and line B will be y =4 and x = 8, respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
We know the equation of the line parallel to the x-axis.
y = c
The equation of line A will be
y = 4
We know the equation of the line parallel to the y-axis.
x = c
The equation of line B will be
x = 8
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3/4 to decimal what the answer
Answers
Answer:
0.75
Step-by-step explanation:
4/4=1
3/4=0.75
2/4=1/2=0.5
1/4=0.25
So 1/4 is 0.25
2/4 is 0.50
3/4 is 0.75
4/4 is 1
hope that helps
