Answer:
x= 4/3 or x=−5
Step-by-step explanation:
The straight line, Line L has an equation of 4x+y=7. Find the equation of the straight line perpendicular to Line L that passes through (-8,3)
Answer:
Step-by-step explanation:
y = -4x + 7
perp. 1/4
y - 3 = 1/4(x + 8)
y - 3 = 1/4x + 2
y = 1/4x + 5
The equation of the perpendicular line is y = 1/4x + 5
How to determine the line equation?The equation is given as:
4x + y = 7
Make y the subject
y = -4x + 7
A linear equation is represented as:
y = mx + c
Where m represents the slope.
This means that:
m = -4
A line perpendicular to 4x + y = 7 will have a slope of:
Slope = -1/m
This gives
Slope = 1/4
The equation of the line is then calculated as:
y = Slope(x - x1) + y1
This gives
y = 1/4(x + 8) + 3
Expand
y = 1/4x + 2 + 3
Evaluate
y = 1/4x + 5
Hence, the equation of the perpendicular line is y = 1/4x + 5
Read more about linear equation at:
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Th GCF of two numbers is 3 and the LCM is 180. If one of the other number is 45, what is the other numbers?
Answer:
x = 12
Step-by-step explanation:
Given that,
GCF of HCF of two numbers = 3
LCM of numbers = 180
First number = 45
Let another number be x.
So,
HCF×LCM = first number × second number
[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]
So, the other number is 12.
Help Pleases!!
2^4x=8^x-3
Answer:
Step-by-step explanation:
If you change the bases to the same number, the exponents must equal each other.
55% of students spent their trackouts on Netflix. What fraction of students
watched Netflix?
Answer:
11/20
Step-by-step explanation:
11/20
Answer:
55/100
Step-by-step explanation:
Beacsue % only equal %/100
The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
Subtract and simplify. Show work
(-5y^2 – 9y – 4) - (-2y^2– y + 8)
what is the probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw. give your answer as a ratio reduced to simplest terms.
The probability that both marbles are yellow marbles is 1/25
How to determine the probability?The given parameters are:
Yellow = 2
Total = 10
The probability of selecting the first yellow marble :
P(Yellow) = 2/10
When the marble is returned, we have:
Yellow = 2
Total = 10
The probability of selecting the second yellow marble :
P(Yellow) = 2/10
The required probability is:
P = 2/10 * 2/10
Evaluate
P = 4/100
Simplify
P = 1/25
Hence, the probability that both marbles are yellow marbles is 1/25
Read more about probability at:
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Juan was given a gift card for a coffee shop. Each morning, Juan uses the card to buy one cup of coffee. Each cup of coffee costs $2 and the original amount of money on the gift card was $30. Write an equation for A, A, in terms of x,x, representing the amount of money remaining on the card after buying xx cups of coffee.
Answer:
30 - 2xx = x
Step-by-step explanation:
Answer:
A= 30 - 2x
Step-by-step explanation:
x/5 + 2 = 19 x______
Answer:
47x=5
or 5/47
Step-by-step explanation:
Answer:
x=85
Step-by-step explanation:
x/5 + 2 = 19
5(x/5 + 2) = 5(19) *multiply both sides of the equation by 5 to get rid of the fraction
x + 10 = 95
x = 85 *subtract 10 on both sides
Check:
x/5 + 2 = 19
85/5 + 2 = 19
17 + 2 = 19
19 = 19
Plz help I don’t want to fail
Answer:C
Step-by-step explanation:
Answer:
C. 3, 2, 0, -1, -3
Step-by-step explanation:
The more negative a number is, the lesser it is.
Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...
I hope this helped!
An angle measures 170° less than the measure of its supplementary angle. What is the measure of each angle?
Given:
An angle measures 170° less than the measure of its supplementary angle.
To find:
The measure of each angle.
Solution:
Let x be the measure of supplementary angle.
Then, the measure of the angle is (x-170°).
Sum of supplementary angles is 180 degrees. So,
[tex]x+(x-170^\circ)=180^\circ[/tex]
[tex]2x-170^\circ=180^\circ[/tex]
[tex]2x=180^\circ+170^\circ[/tex]
[tex]2x=350^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{350^\circ}{2}[/tex]
[tex]x=175^\circ[/tex]
Now, the measure of the angle is
[tex]175^\circ-170^\circ=5^\circ[/tex]
Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.
Answer:
175 , 5
Step-by-step explanation:
Simplify the expression:
2 (5x) +7
Answer:
Step-by-step explanation:
to simplify you need to remove the parenthesis first , 2(5x)+7=
10x+7
please help me it's urgent
Q4:
second choice
Q5:
first choice
Hope I helped :)
A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what was purchased?
Answer: 300,000
Step-by-step explanation:
please explain i really don’t understand
Answer:
22.5°
Step-by-step explanation:
First we need to figure out the size of the interior angles on the inside.
The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.
N is the number of sides.
If we substitute our number of sides (8) we get this:
(8-2)×180°
6×180° = 1080°
Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).
1080° ÷ 8 = 135°
Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.
Using the rule of angles in a triangle add up to 180°. We do this sum:
180° - 135° = 45°
There are 2 angles left in the triangle so we do:
45° ÷ 2 = 22.5°
Therefore the angle of x is 22.5°.
What is 1 and 2/3 in decimal form
Answer:
1.66666667
Step-by-step explanation:
plz mark brainlest
Answer:
1.67
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
1 × 3 = 3
Step 2: Add the product you got in Step 1 to the numerator:
3 + 2 = 5
Step 3: Divide the sum from Step 2 by the denominator:
5 ÷ 3 = 1.666667
HELP ME PLeaseee!!!!
Answer:
x= 8.5, 2x=17, (9x+5)=81.5
Step-by-step explanation:
since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:
[tex]2x + 2(9x+5) = 180[/tex]
next distribute the 2 to 9x + 5.
[tex]2x + 18x + 10 = 180[/tex]
next combine like terms (2x and 18x) and subtract 10 from 180.
[tex]20x = 170[/tex]
finally, divide 170 by twenty.
[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]
the final answer is x=8.5
once x is determined, you can solve 2x and 9x+5.
[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]
I REALLY NEED HELP WITH THIS QUESTION
Answer:
$1.75
Step-by-step explanation:
4b+n=12;2b+3n=18.5
Step: Solve4b+n=12for n:
4b+n+−4b=12+−4b(Add -4b to both sides)
n=−4b+12
Step: Substitute−4b+12fornin2b+3n=18.5:
2b+3n=18.5
2b+3(−4b+12)=18.5
−10b+36=18.5(Simplify both sides of the equation)
−10b+36+−36=18.5+−36(Add -36 to both sides)
−10b=−17.5
(Divide both sides by -10)
b=1.75
Step: Substitute1.75forbinn=−4b+12:
n=−4b+12
n=(−4)(1.75)+12
n=5(Simplify both sides of the equation)
Answer:
b=1.75 and n=5
A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
Answer:
the total price of the CD, including tax is $14.31
Step-by-step explanation:
The computation of the total price of the CD including tax is shown below:
= Sale price - off percentage + sales tax
= $15 - ($15 × 10%) + 6% of the remaining value
= 15 - $1.5 + 6% of the remaining value
= $13.50 + 6% of $13.50
= $13.50 + $0.81
= $14.31
Hence, the total price of the CD, including tax is $14.31
the monthly revenue for printer ink for a large office supply store is r(x) =-x^2 +12x+13, where x is the price of an ink cartridge in dollars and r(x) is in hundreds of dollars. what is the maximum monthly ink revenue
Answer:
6u77vhy46yvt g vgj v6. hy
Step-by-step explanation:
guv yg
3.
Use the Pythagorean Theorem or knowledge on special right triangles to
find the missing variable in the following triangles.
Part A:
Part B:
45°
9
30v2
45°
30V2
b
Answer:
Part A: [tex]l = 60[/tex], Part B: [tex]b = \frac{9\sqrt{2}}{2}[/tex]
Step-by-step explanation:
The Pythagorean Theorem determines the length of the hypotenuse of right triangle ([tex]r[/tex]) by means of following formula:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where [tex]x[/tex], [tex]y[/tex] are respective lengths of each leg.
Now we proceed to solve on each triangle:
Part A: ([tex]r = l[/tex], [tex]x = y = 30\sqrt{2}[/tex])
[tex]l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}[/tex]
[tex]l^{2} = 3600[/tex]
[tex]l = 60[/tex]
Part B: ([tex]r = 9[/tex], [tex]x = b[/tex], [tex]y = \frac{9\sqrt{2}}{2}[/tex])
[tex]9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}[/tex]
[tex]81 = b^{2}+\frac{81}{2}[/tex]
[tex]b^{2} = \frac{81}{2}[/tex]
[tex]b = \frac{9\sqrt{2}}{2}[/tex]
Plz help will mark brainliest
Answer:
15m
Step-by-step explanation:
Since the square has an area of 9m^2 it has to have sides that are 3m. There are 3 sides that are 3m. An equilateral triangle has the same sides so it has 2 sides that are 3m. There are 5 sides that are 3m. The perimeter is 15m.
I aint gonna lie this is easy points hehehehe
Ms. Sims made 32 braids in 40 minutes. At this rate, how many braids would she make in 60 minutes?
Answer: 48 in 1 hour
Step-by-step explanation:
32 divided by 40 = 0.8
0.8 times 60 = 48
hope this helped you out :))
The PTA is sponsoring an 8th grade
dance and has asked your help to
select a D.J. for the big event. You
called around and found that Dylan
the D.J. charges a $100 set-up fee plus
$17.50 per hour. Mya's MC Mobile hos a
$125.00 set-up fee, plus $10 per hour.
Which D.J. would you recommend to
the PTA? Be sure to clearly support
your recommendation mothemotically
PLEASE HELP ME I WILL GIVE YOU BRAINLIEST IF YOU HELP ME PLEASE I REALLY NEED HELP
Answer:
60º
Step-by-step explanation:
they key word here is difference meaning we need to subtract
specifically, we need to subtract 75 from 135 to find the difference in degrees, hence the number of degrees between the two settings:
135º - 75º = 60º
help me plzzzzzzzzzzzzzzzzzz
Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.
Answer:
1.75n
For each visit it costs 1.75, so n visits would be the product of the two.
Step-by-step explanation:
Answer:
1.75n
Step-by-step explanation:
"every time" means multiplication.
Total cost is $1.75 multiplied by n number of trips.
(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)
A weather station on top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 4 degrees Celsius per hour. What will the temperature be in 5 hours?
Answer:
-20 degrees celsius
Step-by-step explanation:
The temperature is falling so the rate is -4 degrees per hour.
It is five hours so: 5 x -4 = -20 degrees celsius.
Hi I need help with this one!!!!
Answer:
Daniel can afford 12 rides
Step-by-step explanation:
So we would take his 22 dollars and subtract 4 for admission leaving us at 18\
Then we would divide 18 by 1.50 and we would get 12