What x value sloves the equation .
3x-5=1
The slope of the line that passes through the point (2,4) and (3,8)is
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4
Find the percent increase. Round to the nearest percent.
From 76 books to 131 books
The percent increase is _____%
Answer:
I think it's a 72.36% increase
Step-by-step explanation:
I'm not completely sure but that's what the calculator I used said..
Answer:
3
Step-by-step explanation:
Find the amount of change.
Amount of change = Greater Value − Lesser Value
= 131 − 127 Substitute values.
= 4 Subtract.
Find the percent increase. Round to the nearest percent.
Percent Change =
Amount of Change
Original Amount
=
4
131
Substitute values.
≈ 0.03 Divide and round to the nearest hundredth.
= 3% Write as a percent.
The percent decrease is 3%.
pls press the heart if this was helpful
Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.
StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction
StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction
Given:
[tex]\sin (x)=-\dfrac{1}{2}[/tex]
[tex]\cos (y)=-\dfrac{1}{3}[/tex]
x is an angle in quadrant III, and y is an angle in quadrant II.
To find:
The value of sin(x+y).
Solution:
We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.
x is an angle in quadrant III,
[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]
[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]
[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]
[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]
[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]
y is an angle in quadrant II.
[tex]\sin y=\sqrt{1-\cos^2x}[/tex]
[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]
[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]
[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]
Now,
[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]
[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]
[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]
[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]
Therefore, the correct option is B.
Answer:
Choice B
Step-by-step explanation:
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.
Answer: Yes, there are congruent.
Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.
I hope this helps you!
What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER
1 Pound is equal to 1.81 Australian Dollars
1 Pound sterling equals 1.81 Australian Dollar
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
Keiko, Juan, and Tony have a total of $80 in their wallets. Keiko has $5 less than Tony. Juan has 3 times what Tony has. How much does each have?
Answer:
Keiko 12 + Juan 51 + Tony 17 = $80
Step-by-step explanation:
K + J + T = 80
K=T-5
J=3T
T=T
T-5 + 3T + T = 80
5T -5 = 80 --> 5T = 85 --> T = 17
now that u know T=17, substitute the value of T to find K and J
K=(17)-5 = $12
J=3(17) = $51
T= $17
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer:
A triangle has three congruent sides
Step-by-step explanation:
100% .
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
Circle the ratio which is the same as 1 cm represents 2m
1:2
1:20
1:200
1:2000
Answer:
1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)
if the units are centimeter and meter though, then it's
1:2
Step-by-step explanation:
there are 100 cm in 1 meter, so 1cm:2m
is actually 1cm : 200cm
Help me with math please
Answer:
B. 1/6
Step-by-step explanation:
Choose true or false for each statement.
Answer:
a:t
b:f
c:f
d:t
e:f
I think
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45°
90°
180°
270°
Answer:
C) 180
Step-by-step explanation:
I hope this helps
Good luck ;)
The difference between the intercepted arc is 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.
A secant and a tangent meet at a 90° angle outside the circle. Hence:
90° = (1/2) * difference between the intercepted arc
Difference between the intercepted arc = 180°
The difference between the intercepted arc is 180°
Find out more on angle at: https://brainly.com/question/25770607
i was doing fine until i came to this question please help
i dont know what its asking
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
y−2x=4
3x−5y=15
The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3
Answer:
The answer is x=-5 and y= -8
Step-by-step explanation:
What is the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from the graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{5-2}[/tex]Subtract: [tex]m=\frac{-1}{3}[/tex]And we have our answer!
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3
The box plot below represents some data set. What percentage of the data values are between 50 and 75?
Answer:
25
Step-by-step explanation:
For box plot, the box contains 50percent and the line is the 50percent for the whole plot
25% of the data values are between 50 and 75.
Important information:
A box plot that represents some data set.We need to find, what percentage of the data values are between 50 and 75.
Box plot:From the given box plot it is clear that 50 is the median and 75 is the third quartile.
We know that 25% of data values are between the median and the third quartile.
Thus, 25% of the data values are between 50 and 75.
Find out more about 'box plot' here:
https://brainly.com/question/1523909
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 min to 20 min
help I need this asap I will give the brainiest
what’s the area of this? i really need help....50 points if u help me :)
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
Can anyone help me with this?
Answer: X= 3^-1
X= -0.75
Step-by-step explanation: