Answer:24
Step-by-step explanation: 4(3)= 12. -6(-2)= 12 Add them, equals 24
"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!
Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call
The University of Washington Huskies tried throwing one of the longest Hail Mary's in history
- about 73 yards. For this pass, the ball's height over time was modeled by the function
h(t) = –16t2 + 64t + 6, where h(t) was the height in feet and t was the time in seconds.
Let's break down whether the Huskies ever had a chance.
1.
73 yards isn't just a long way to throw, it's a long way to run. To give his team the
best chance of running all the way down the field and catching the ball before it hits
the ground, the quarterback (passer) needs to keep the football in the air for a long
time. How long was the ball in the air?
9514 1404 393
Answer:
4.09 seconds
Step-by-step explanation:
The ball is in the air until h(t) = 0. Solving that equation for t, we have ...
0 = -16t^2 +64t +6
t^2 -4t = 3/8 . . . . . . rearrange, divide by 16
t^2 -4t +4 = 4 3/8 . . . add 4 to complete the square
(t -2)^2 = 4.375 . . . . write as a square
t = 2 +√4.375 . . . . . positive square root, add 2
t ≈ 4.09165
The ball was in the air about 4.09 seconds.
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $36,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $72,000 down payment be?
Their down payment is *blank*% of the purchase price.
Answer:
Answer: 36,000 would be 20 percent. 72,000 would be 40 percent. Step-by-step explanation: You just divide 36,000 by 180,000
im having trouble figuring out what this question means |7| + -4=?
Answer:
3
Step-by-step explanation:
It means absolute value 7 plus -4
This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes
7-4= 3
2+8+9+4-3-4-6+9+5+3+8
[tex]2+8+9+4-3-4-6+9+5+3+8 \\ \\ = > 10 + 9+4-3-4-6+9+5+3+8 \\ \\ = > 19+4-3-4-6+9+5+3+8 \\ \\ = > 23-3-4-6+9+5+3+8 \\ \\ = > 20-4-6+9+5+3+8 \\ \\ = > 16-6+9+5+3+8 \\ \\ = > 10+9+5+3+8 \\ \\ = > 19+5+3+8 \\ \\ = > 24 + 3 + 8 \\ \\ = > 27 + 8 \\ \\ = > \green{\boxed{ 35}}[/tex]
Answer:
35
Step-by-step explanation:
2+8+9+4-3-4-6+9+5+3+8
10+13-3-4-6+9+16
23-13+25
10+25
35
Idk what to put here :(
Answer: I can barley see that
Step-by-step explanation:
Answer:
give me brainliest plssss i need it
Step-by-step explanation:
It's takes two scoops of detergent for every three scoops of fabric softener if there are 28 scoops of detergent remaining, how many scoops of fabric softener will be needed
Answer: 42
Step-by-step explanation:
The ratio scoops of detergent to scoops of fabric softener is 2:3.
If there are 28 scoops of detergent remaining, the number of scoops of fabric softener will be needed will be:
= (28/2) × 3
= 14 × 3
= 42 scoops of fabric softener
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
The area of a rectangle is 5/6 square foot. The width is 2/3 foot. How many times greater is the length than the width? Write your answer in simplest form.
Answer:
15/8
Step-by-step explanation:
The area of a rectangle is given as 5/6 square foot.
The width is given as 2/3 foot
But area if a Rectangle = Lenght × width
A = Lenght x width
5/6= Lenght × 2/3
If we make Lenght subject of the formula we have
lenght= (5/6) / (2/3)
length = (5×3)/(6×2)
Lenght= 5/4
To calculate the number of times greater is the length than the width we take the ratio of Lenght and width
Lenght / width = (5/4) / (2/3)
= (5×3)/(4×2)
= 15/8
Hence the number of times greater is the length than the width is 15/8
A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch
Answer:
The circumference is expressed usingC=2πrStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circle.
The length of the string corresponds to the circumference of the circle.
The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"
upon measuring the diameter we can further obtain the radius "r"
The expression for the radius is r=d/2 (the radius is half the diameter)
C=2πr
where pi= 3.124 a constant term
Hence Circumference is the same as the length of the string
(x+2/3)=(2x-4/2)
what is x equal to?
Evaluate the expression. 2. (3^6.3^-5)
Answer:
1.00000
Step-by-step explanation:
Well I'm not sure what that upside down V is
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
Which equation can be used to find d, the number of dollar coins Giuliana has?
d – 22 + 0.25d = 10.75
0.25d + 22 – d = 10.75
0.25(22 – d) + d = 10.75
d + 0.25(d – 22) = 10.75
Answer:
0.25(22-d)+d=10.75
Step-by-step explanation:
None of the other equations make sense given the information
Please help me on this question
Answer:
a=50
b=40
c=80?
Step-by-step explanation:
a=50 (180-130)
b: 50+90=140 180-140= 40 b=40
c= 40+60=100 180-100=80?
identify the slope of the line. then identify a point the line passes through:
1. y - 2 =1/4(x - 5)
2. y-7=-3(x+6)
Answer:
ummmm honey I'm confused already
i need help!!!!!!!!!!!
Answer:
Step-by-step explanation:
g-(3,3)
h-(-5,3)
j- (5,-5)
Plz name me brainliest
Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.
Answer:
Step-by-step explanation:
If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.
Let y represent the total cost and
x represent the number of gifts
According to direct variation]
y ∝ x
y = kx
k is the constant of proportionality
If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;
y = 10x
Hence the required relationship is y = 10x
PLEASE ANSWER FAST I WILL GIVE BRAINLY A climber is on a hike. After 2 hours he is at an altitude of 300 feet. After 5 hours, he is
at an altitude of 500 feet. What is his average rate of change? Make sure to include
your units!
Answer:
1.661 feet/ hour
Step-by-step explanation:
To find the rate of change, you take (y2 – y1) / (x2 – x1)
2x-y=1
x-y=-2
......................................
Answer:
y=5 x=3
Step-by-step explanation:
x-y=-2 move the y over to isolate x
x=-2+y Now plug that in for x in the first equation
2(-2+y)-y=1 Distribute
-4+y=1 Add 4 on both sides
y=5
x-5=-2
x=3
5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data
Answer:
the mode is 3.
Step-by-step explanation:
when organized, it's in this order:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6
the most repeated number in the dataset is 3.
Two students are taking a math test. After 5 minutes, one student is 13 done and the other is 28 done. How much ahead of the second student is the first
Given :
Two students are taking a maths test.
After 5 minutes, one student is 13 done and the other is 28 done.
To Find :
How much ahead of the second student is the first.
Solution :
Number of questions second student is ahead is :
[tex]n = 28 - 13\\\\n = 15[/tex]
Therefore, second student is ahead by first by 15 questions.
Hence, this is the required solution.
-3y+(1)/(5)=(2)/(3)x write in Ax+By=C
Answer:
2/3x + 3y = 1/5
Step-by-step explanation:
-3y + 1/5 = 2/3x (subtract 1/5)
-3y = 2/3x - 1/5 (subtract 2/3x)
-2/3x - 3y = -1/5 (divide by negative 1)
2/3x + 3y = 1/5
Hope this helps ya!!
There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer.
Answer:
There are 30 girls
Step-by-step explanation:
The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30
30+18=48 members
There were 30 girls in swim team.
We have,
Total Members = 48
Ratio of Boys to Girls= 3:5
So, the number of boys are
= 3/8 x 48
= 3 x 6
= 18
and, the number of girls
= 5/8 x 48
= 5 x 6
= 30
Thus, 30 girls were in swim team.
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ3
Am I right vote you brainiest
Answer:
false
Step-by-step explanation:
hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone
Answer:
1,416
Step-by-step explanation:
multiply 12 by 116
In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B
The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.
Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.
i am in doubt in this task
Answer:
zoomMeeting ID: 8570913589 Passcode: K58Ech
Explanation:
NO FACE SHOWING N^de ZOOM
Step-by-step explanation:
Given that line t and line g are parallel and that m<2=105 and m<15=95 select the angle measure for each angle named.
Answer:
<1 = <9 = <4 = <12 = 75
<2 = <3 = <10 = <11 = 105
<5 = <8 = <13 = <16 = 85
<6 = <7 = <14 = <15 = 95
Given the angle measures of a triangle are 3x + 6 degrees, 4x + 2 degrees and 10x + 2 degrees, determine the 3 angles in this triangle?
Answer:
36,42,102
Step-by-step explanation:
A triangle is 180° total so your equation to find x is:
3x+6+4x+2+10x+2=180°
17x+10=180
17x=170
x=10
to find the individual sides:
3(10)+6=36
4(10)+2=42
10(10)+2=102
to make sure this is right, add 36+42+102. It should equal 180 and it does