Answer:
Step-by-step explanation:
8 -x = 13 - 2x
x + 8 = 13
x = 5
y = 8 - 5
y = 3
(5, 3)
pls help fast this is khan academy
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
For question 25 please pick 1,2,3 or 4
Answer:
4.
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Step-by-step explanation:
[tex]18x^2-24x+87=0[/tex]
Using Quadratic Formula
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]
Solving the discriminant:
[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]
[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]
[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]
Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]
[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]
Dividing the denominator and numerator by 6
[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]
Now rewrite it:
[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]
[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]
or
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
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x2+3x-4=0. Find a=, b=, and c=. thank you:)
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____
Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps
Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.
Clue 1: Maya and Josh have 20 candles
Clue 2: Maya and Sam have 13 candles
Clue 3: Sam and Josh have 15 candles
Clue 4: There are 24 candles altogether.
How many candles are on Maya’s cake?
How many candles are on Josh’s cake?
How many candles are on Sam’s cake?
Maya=10
Sam=3
Josh=12
Hope this helps.
: )
Answer:
im still alli
Step-by-step explanation:
what does X equal to ?
Answer: x=7
Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.
so 4x+17 = 45, 4x = 28, x = 7
Graph the line that has a slope of 1/6 and includes the point (0, 7).
What is a slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'
y = m x + c
m is the slope
Given data ,
Let the point be P ( x , y ) = P ( 0 , 7 )
Slope m of line = 1 / 6
The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by
y = m x + c
Substitute the values of x and y in the equation , we get
7 = ( 1/6 ) × 0 + c
So , c = 7
Therefore , the equation becomes y = ( 1 / 6 ) x + 7
Hence , the graph of the equation can be described
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
Which statement is true about the right angles ABC and DEF
Solve.
6x2 + 7x – 20 = 0
Answer:
(3x + 4)(2x - 5)
[tex]6x^{2}+7x-20=0[/tex] = (3x + 4)(2x - 5)
Hope this helped! Have a great day!
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
Find the following trigonometry values
cos (150*) = ?
sin (150*) = ?
Answer:
see explanation
Step-by-step explanation:
cos150°
= - cos(180 - 150)°
= - cos30°
= - [tex]\frac{\sqrt{3} }{2}[/tex]
-------------------------
sin150°
= sin (180 - 150)°
= sin30°
= [tex]\frac{1}{2}[/tex]
The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.
How to find trigonometry values?To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.
cos(150°):
We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:
cos(150°) = -cos(30°) = -√3/2.
sin(150°):
We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:
sin(150°) = sin(30°) = 1/2.
Learn more about trigonometric values on:
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What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)
Answer:
Option C is the correct answer.
Step-by-step explanation:
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
m=1 and m+n=4
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula
x=(m/m+n)(x₂ - x₁)+ x₁
Substituting the values, we get;
x= 1/4(4+5)-5
x = 9/4-5
x = -11/4
Thus, the x - coordinate of the point P is -11/4
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
y=(m/m+n)(y₂ - y₁)+ y₁
Substituting the values, we get;
y= 1/4(1+1)-1
y = 2/4-1
y= -2/4
y= -1/2
Thus, the y - coordinate of the point P is -1/2
Therefore, the coordinates of the point P is (-11/4, -1/2)
Hence, Option C is the correct answer.
please mark me brainliest!
Answer:
C
Step-by-step explanation:
I just did it on edge
Which of the following is equivalent to 0.0009?
A 0.0009%
B 0.009%
C 0.09%
D 0.9%
Answer:
C
Step-by-step explanation:
If you multiply by 100 u get C
Answer:
C
Step-by-step explanation:
To turn a number into a percentage, you must multiple it by 100.
a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER
Answer:
64
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?
Answer:10.25
Step-by-step explanation:
Two angles add to 90°. The larger angle is 12° more than five times the measure of the smaller angle. Find the measure of the two angles.
Answer:
13 and 77 degrees
Step-by-step explanation:
First, you start by subtracting 12 from the 90..
90 - 12 = 78
then, take 78 and divide it by 6.
78/6 = 13
13 is the measure of your smaller angle.
multiply 13 by 5 and then add 12 to find the measure of the larger angle.
13 x 5 = 65
65 + 12 = 77
77 is the measure of your larger angle.
Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
What is the domain of f(x)=√(x)?
Answer:
f(x)=√x f ( x ) = x is x≥0 x ≥ 0
Step-by-step explanation:
The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.
Which of the following terms correctly describe the object below?
Check all that apply.
Answer:
Pyramid
Step-by-step explanation:
Because a pyramid has a polygon as its base
Answer:
The correct answers are A. polyhedron. and C. pyramid
Step-by-step explanation:
Find the rate of change for each linear function
decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm
Answer:
Answer = decrease of 22 m/min
2 Points
Which of the following show an element of the sample space for flipping 2
coins? (H = Heads, T = Tails)
Check all that apply.
| A. TH
В. ТТ
C. HH
D. HT
whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
Use the distributive property to write the following expression without parentheses.
-3/5(20x-20y)
Answer:
-12x+12y
Step-by-step explanation:
[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]
Hope this helps!
Answer:
[tex]-12x+12y[/tex]
Step-by-step explanation:
We have the following expression:
[tex]-\frac{3}{5} (20x-20y)[/tex]
TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..
[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]
solve for 3x2 + 15x = 12
Step-by-step explanation:
3x2 pls is this multiplication sign or it is (x)
What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression represents change in the sloths height each minute?
-55•(-11)
-55•11
-55 divided by 11
-55 divided by (-11)
