If AB is parallel to CD and the slope of AB is -3, what is the slope of CD
Answer:
-3
Step-by-step explanation:
The slopes of parallel lines are equal.
If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3
Answer:
-3
Step-by-step explanation:
There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.
So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.
Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.
Please consider a brainliest, thank you!
what is 4 + 3i^2 and is it real or imaginary?
Answer:
4+6i
Step-by-step explanation:
Distribute the 2 to the 3i
You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.
It's a complex imaginary number
Real
[tex]\\ \sf\longmapsto 4+3i^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto 4+3(-1)[/tex]
[tex]\\ \sf\longmapsto 4-3[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
in a sale there is a 40% discount.what is the discount on a dress that costs $150.00
Answer:
$90 or $60
Step-by-step explanation:
Can someone please take the time out of they’re day and help me and with this question
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line
m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50
The line crosses the y- axis at (0, 100 ) ⇒ c = 100
y = 50x + 100 ← equation of line
where y is monthly savings and x the time in months
(b)
Slope is the monthly deposit , that is $50 per month
The y- intercept indicates the original amount in her account , that is $100
If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
4 5/6 x 3/10
simplify the answer completely and change it to a mix number
Step-by-step explanation:
4+5/6*3/10
29/6*3/10
=87/60
=29/20
=1 9/20
We have : [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]
ANSWER: [tex]1\frac{9}{20}[/tex]
Ok done. Thank to me :>
Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?
Answer:
42
Step-by-step explanation:
the half of 42 is 21 so if she mailed the half of it then she just have 21 cards
2y-7.4y=141.36
solve for y
In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False
Answer:
True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.
Step-by-step explanation:
[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]
Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?
Answer:
25*1/5(or 0.2)=
5
she gives a way 5 toys
Hope This Helps!!!
The number of toys that she gives away will be 5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Cynthia gave 1/5 of her toys to her little sister.
If she had 25 toys.
Then the number of toys that she gives away will be given by the product of 25 and 1/5.
⇒ 25 x 1 / 5
⇒ 5
The number of toys that she gives away will be 5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
How is Maths used in Construction??
Can someone help me with 10 - 15 pages
Answer:
They measure the area, volume, length, and width, in construction
10 - 15 = -5
Step-by-step explanation:
HOPE THIS HELPED
Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount
What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2
Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?
Answer:
3000 +219d
Step-by-step explanation:
The food booth rental revenue is ...
11(100 +9d) = 1100 +99d
The game booth rental revenue is ...
20(95 +6d) = 1900 +120d
Then the total revenue is ...
(1100 +99d) +(1900 +120d) = 3000 +219d
You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?
Answer:
290
Step-by-step explanation:
145 withdrawal free + 145 in cash = 290.
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
I did help on this question
Answer:
6/7
Step-by-step explanation:
A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?
[tex]\huge \bf༆ Answer ༄[/tex]
Total distance covered is equal to ~
Number of revolutions × circumference [tex] \sf500 \times 4.4[/tex][tex] \sf2200 \: m[/tex]Hence distance covered = 2200 m = 2.2 km
Can someone please help me with this
Answer:
Ted's Organic Market
Step-by-step explanation:
Calculate the unit cost ( price per pound )
From the table using $16.50 for 6 lbs , then
unit cost = $16.50 ÷ 6 = $2.75
From the graph using $8.40 for 3 lbs , then
unit cost = $8.40 ÷ 3 = $2.80
Ted's Organic Market has the better price
4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140
Answer:
A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).
Step-by-step explanation:
X=8,2x+y=12 solve by substitution show work
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's substitute the value of x as 8 in the given equation to find the value of y ~
[tex] \sf2x + y = 12[/tex][tex] \sf(2 \times 8) + y = 12[/tex][tex] \sf16 + y = 12[/tex][tex] \sf y = 12 - 16[/tex][tex] \sf y = - 4[/tex]What is 3.6% as decimal’s?
Answer:
.036
Step-by-step explanation:
.036 = 3.6%
converting percent to decimal: remove the percent sign and move the decimal point two places to the left
Answer:
0.036
Step-by-step explanation:
To convert to a decimal, divide the percent number by 100.3.6 ÷ 100=0.036
Therefore, the decimal form is 0.036Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.
What is the area of the circle in which the dog can run? Use 3.14 for PI. Round your answer to the nearest square foot.
O 69 square feet
O 108 square feet
O 380 square feet
O 1520 square feet
Answer:
380
Step-by-step explanation:
area of a circle is pir^2
3.14(11)^2
3.14(121)
=380sqft
24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
i need help please thanks
Answer:
I can't write the equation but getting the answer is easy.
The difference in volume of the 2 aquariums is .2 cubic feet.
The difference in weight is 12.48 pounds.
Therefore, .2 cubic feet of water weighs 12.48 pounds. Therefore the
weight of 1 cubic foot of water = 12.48 / .2 = 62.4 pounds.
Step-by-step explanation:
how many integers between 100 and 999 (inclusive) have distinct digits
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
A can of paint will cover 100 square feet. How many cans of paint will Hannah need to buy to paint all six surfaces of her room?
Answer:
need to know the dimentions of the room
Step-by-step explanation:
A scale drawing of a rectangular park had a scale of 1 cm = 100 m. What is the actual perimeter of the park in meters?
10.1 and 8.8
Answer:
3780 m
Step-by-step explanation:
First, we find the perimeter of the scale drawing.
perimeter = 2(L + W)
perimeter = 2(10.1 cm + 8.8 cm)
perimeter = 2(18.9 cm)
perimeter = 37.8 cm
Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.
1 cm (drawing) = 100 m (real)
37.8 cm × 100 m/cm = 3780 m
Answer: 3780 m
Pls help me
With the hard math problem
Answer:
A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to SpringfieldHoped this helped.
[tex]BrainiacUser[/tex]
a calculus problem that i have no idea what to do please help
Answer:
-[tex]\sqrt{5}[/tex]/8
Step-by-step explanation:
so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.
rewrite the function to be -(5h)^1/2
then take its derivative using power rule and chain rule
-(1/2)*(5)*(5h)^(-1/2) **the five comes from the chain rule and taking the derivative of the 5h
then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795