Answer:
Let ABC = 73.6
Complement = ABD = 16.4
ABx = unknown angle
ABx + (ABx + 73.6) = 90
ABx = 16.4 / 2 = 8.2
The angles are 8.2 and (8.2 + 73.6) = 90
Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)
Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
glad to help ;)
Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian
Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
please help me I'm not good at math :(
the options are:
exactly one real solution
infinitely many solutions
no real solution
two real solutions
Answer: No real solution.
Step-by-step explanation:
Since the parabola never crosses the x-axis, there are no real solutions.
This is my last question I need help please
Answer:
.11
Step-by-step explanation:
it is correct
Answer:
A) $.11
Step-by-step explanation:
A dozen = 12
To find unit cost you divide cost of items by # of items
In this case we have 12 eggs that cost 1.35
So unit cost = 1.35 / 12 = .11
what does c equal : c - 12 =-4
Answer:
c = 8
Step-by-step explanation:
c - 12 = -4
Add 12 on both sides
c = 12 + (-4)
c = 8
3⎜x + 4⎟ + 2 ≥ 5
plS
Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
can someone help me with this
x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32
x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0
So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0
Ok done. Thank to me :>
A computer costs £964. A tax of 18.5% is then added to the cost of the
computer.
Work out the amount of tax that is added to the cost of the computer.
Give your answer in pounds (£).
Answer:
The amount of tax is £178.34, and the full total is £1142.34.
Step-by-step explanation:
Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.
The amount of tax that is added to the cost of the computer is
£178.34.
What is tax?A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.
Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.
Assume the amount of tax that is added to the cost of the computer is
£{x}. Then, we can write the equation as -
{x} = 18.5% of 964
{x} = (18.5/100) x 964
{x} = 178.34
Therefore, the amount of tax that is added to the cost of the computer is
£178.34.
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A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?
Answer:
61 minutes and 36 seconds
Step-by-step explanation:
150 mph is equal to 2.5 miles per minutes divide miles by 2.5
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent?.
The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
We have to determine,
What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
The equation given is,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details about the Quadratic equation refer to the link given below.
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Is that correct? I don’t think it is, can someone tell me the answer
It is right but what's the full question
K minus 10 over 2 = -7
Hey there!
k - 10/2 = -7
k - 5 = -7
ADD 5 to BOTH SIDES
k - 5 + 5 = -7 + 5
CANCEL out: -5 + 5 because that gives you 0
KEEP: -7 + 5 because it helps solve for the k-value
NEW EQUATION: k = -5 + 7
SIMPLIFY IT & YOU HAVE YOUR ANSWER!
k = -2
Therefore, your answer is: k = -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
NO LINKS WILL BE ACCEPTED!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Took the quiz
simplify 3^-6x(3^4 divided by 3^0)^2
Answer:
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-6" was replaced by "^(-6)".
Equation at the end of step
1
:
34
{——}2
1
STEP
2
:
34
Simplify ——
1
Equation at the end of step
2
:
((3-6) • x) • (34^2)
Equation at the end of step
3
:
((3)(-6) • x) • 38
Dividing exponents:
4.1 38 divided by 36 = 3(8 - 6) = 32
Final result :
9x
The simplification of the given expression gives the value 9.
What is simplification?Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.
This can be done using various results or the basic operations of numbers.
Given expression is 3⁻⁶ × (3⁴ / 3⁰)².
We have to use product rule and quotient rule of exponents to simplify this.
We know that,
xᵃ × xᵇ = xᵃ⁺ᵇ
xᵃ / xᵇ = xᵃ⁻ᵇ
Also, (xᵃ)ᵇ = xᵃᵇ
3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴
Substituting,
3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²
= 3⁻⁶ × 3⁸
= 3⁻⁶⁺⁸
= 3²
= 9
Hence the simplified form of the given expression is 9.
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what is the equation?
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1).
Answer:
i believe that the answer is y= -1/2 +3.
please help i will give brainliest
[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]
Please solve this problem please ASAP !
60 Point Question Answer ASAP! Brainliest to best/first answer
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
Find the equation of a line parallel to line y=6 that passes through the point (-2,-1)
Answer:
y=-1
Step-by-step explanation:
yeah-ya...... right?
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
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. What is the second step in solving the following equation: 3(2x - 1) = 15, if the
Distributive property is used as the first step.
What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.
The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
Read more about logarithmic equations at:
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IM GIVING TONS OF POINTS PLEASE HELP THANKS!
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?
the answer might be 18.64 but im actually kinda du.mb so its probably not right.
Answer:
is 10 points alot? the other guy don't think so
Hassan picked 5 pounds of strawberries. That afternoon, Hassan's sister ate 1/4 of the strawberries. How many pounds of strawberries did Hassan's sister eat? Write your answer as a fraction or as a whole or mixed number.PLZZZZZZZ HELP
Answer:
Hassan's sister ate 5/4 pounds of strawberries.
Step-by-step explanation:
=> 5 x 1/4=> 5/4Conclusion:
Therefore, Hassan's sister ate 5/4 pounds of strawberries.
Hoped this helped
[tex]BrainiacUser1357[/tex]
please help asap!!!!!
Answer:
d is the question
Step-by-step explanation:
Write the linear equation into Standard Form. 8+3x=-9y
Hello! :p
Original: 8+3x=-9y
standard form: 3x + 9y = -8
I hope this helps! Have a wonderful day! :)
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form
Answer:
C(C^3 + 8C^2 -3C -7)
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)
(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2) -7C [Combine like terms]
C^4 + 8C^3 -3C^2 -7C [Simplify]
C(C^3 + 8C^2 -3C -7) [Isolate 1C from the rest]
