Answer:
Perpendicular, CD has a slope of -5/2
Step-by-step explanation:
Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular. Also, if two lines have the same slope you have to make sure they are not the same line.
Now, to find the slope when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2). You can make either point point 1 or point 2. Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.
So the two lines are AB and CD. Since the question asks I will start with CD. The points are (1,8) and (3,3) So I will call C point 1 and D point 2.
(y2 - y1)/(x2 - x1)
(3 - 8)/(3 - 1)
-5/2
Thankfully this is lowest terms.
Now for AB. A will be point 1 and B will be point 2
(y2 - y1)/(x2 - x1)
(4-2)/(5-0)
2/5
So they are not the same, so what if you take negative 1 over one of the slopes.
well. -1/(2/5) = -5/2
So these are perpendicular.
If you would like an explanation for how to find the full equation of a line I can explain that.
If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned
[tex]\\ \sf\longmapsto Interest=Rate\times Time[/tex]
[tex]\\ \sf\longmapsto Interest=5.3(10)[/tex]
[tex]\\ \sf\longmapsto Interest =53[/tex]
It means that if your principal is $100 after 10years you will receive $53 as interest
Step-by-step explanation:
[tex]thank \: you[/tex]
Hello :) how to do this?
Answer:
Please see the attached pictures for the full solution.
[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)
Answer:
x=61.71428 or 61 5/7
Step-by-step explanation:
We can use a ratio to solve
7 pieces 12 pieces
----------------- = ---------------
36 seconds x seconds
Using cross products
7x = 36*12
7x = 432
Divide by 7
7x/7 = 432/7
61 5/7
x=61.71428
Answer:
66
Step-by-step explanation:
Please help could you explain or show work so I will remember how to do problems like this?
Problem: 4x - (x - 4) = - 20
I desperately need a good grade because this is my first grade.
Correct answer is brainiest!
Answer:
x = -8
Step-by-step explanation:
4x - (x - 4) = - 20
Distribute the minus sign
4x - x +4 = -20
Combine like terms
3x+4 = -20
Subtract 4 from each side
3x+4-4 = -20-4
3x = -24
Divide by 3
3x/3 = -24/3
x = -8
Answer:
x = -8
Step-by-step explanation:
4x - (x - 4) = -20
~Simplify
4x - x + 4
~Subtract 4 to both sides
3x = -24
~Divide 3 to both sides
x = -8
Best of Luck!
What is the common ratio of the geometric
the answer is B. 7
Step-by-step explanation:
it's the number u see the most therefore its the most common
Answer:
D. 10 maybe?
Step-by-step explanation:
because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?
Answer:
8b(4a-1)
Step-by-step explanation:
32ab-8b
8b(4a-1)
Answer:
Did ur question get answered ??
Step-by-step explanation:
What is the negative square root of 0.25?
Answer:
-0.5
Step-by-step explanation:
[tex]3(x+2)2+4(x+2)+1=0\\[/tex]
Answer:
-3
-7/3
Step-by-step explanation:
Let u=x+2
We need to now solve 3u^2+4u+1=0 for u.
I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).
Since 3u(1)+1(u)=4u, we are done.
Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.
Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.
Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.
Since u=x+2, we are down to just solving the following:
x+2=-1 and x+2=-1/3
Both equations require us to subtract 2 on both sides.
The solutions are
x=-1-2=-3 and x=-1/3-2=-7/3
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol {} Let : t=x+2 \ \ ; \ \ t^2=(x+2)^2\\\\3(x+2)^2+4(x+2)+1 =0 \\\\\\3t^2+4t+1=0 \\\\D=16-12=4 \\\\ t_{1}=\dfrac{-4-2}{6} =-1 \ \ ; \ \ \boxed{x_1=-3 }\\\\\\ t_2=\dfrac{-4+2}{6} =-\dfrac{1}{3} \ \ ; \ \boxed{x_2=-2\frac{1}{3} }[/tex]
Write the equation in standard form then factor the left side of the equation. 2x^2=28-x
Answer:
Step-by-step explanation:
Standard for is 5x=28. Factoring gives you x=28/5
please help!! will give brainliest
Answer: 320
Step-by-step explanation:
Step 1) Identify Number of options for each set
For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5
Step 2) Find all possible outcomes
4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink
Step 3) Solve
4 × 4 × 4 × 5 = 320
The perimeter of a rectangle is 64 feet. If one side of the rectangle has a length of 20 feet. How long is the other side?
Please answer thanks
Answer:
b=12
Step-by-step explanation:
Perimeter=2*(l+b)
64=2*(20+b)
b=12
Answer:
The width is 12 feet
Step-by-step explanation:
If the length is 20 feet, the other side must be 20 feet as well. The perimeter is the addition of all sides of a rectangle. Length: 20 on one side, 20 on other side. Subtract the length from total perimeter and you get 24 feet remaining. Divide 24 by 2. 12 feet for the width.
3. How many right angles and parallelogram has
Answer:
parallelogram has 4 right angle.
Answer:
It has 4 angles
Step-by-step explanation:
A student recorded the weight of potatoes she used for a science fair project. Read
the data. For each potato, draw an X above the line plot to show its weight.
B
E
1
Weight in
읍 유 2 / 4 1 2 3 4 2
A
Potato
С
3
D
F
G
H
2
4
pounds
Кеу
1 potato = x
4.
4
O
2
4.
4
What is the total weight of all the potatoes? Give your answer in simplest form.
3
What is the difference in weight between potatoes that weigh 4 pound and those that
weigh pound? Give your answer in simplest form.
what?
Step-by-step explanation:
I dont understand
You start with a given set of rules and conditions and determine something to
be true. What type of reasoning did you use?
O A. deductive
O B. inductive
C. logical
D. conditional
Answer:
i use logical reasoning
What is the length of BD?
Answer:
BD = 10 √3
Step-by-step explanation:
ABC ∆ ,
BD ÷ 20 = sin 60
BD = 20 sin 60
BD = (20 √3) / 2
= 10 √3
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package
Answer:
7.20 dollars
Step-by-step explanation:
1 1/4 can be expressed as 5/4 ((1*4+1) /4)
If price of 5/4 pound of turkey = $9
Price of 1 pound of turkey = $9 / (5/4)
( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)
$9 / (5/4) = $7.2
for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Where do I get the second number from? I’m confused lol
Answer:
(1, 0)
Step-by-step explanation:
You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0
Answer:
2/2,0/2 = (1,0)
Step-by-step explanation:
(3,1)(-1,-1)
midpoint (x1+x2)/2,(y1+y2)/2
Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.
Answer:
x = (-2 , 4.5)
Step-by-step explanation
Hope it helps! later!
the sum of four consecutive even numbers is 1052. find these numbers
Answer:
Answer is down below.
Step-by-step explanation:
To find the answer, we will have to use basic Algebra in order to view the solution.
Let the first number be = x
Let the second number be = x+2
Let the third number be= x+4
Let the fourth number be= x+6
(We did the x+ part because consecutive means following continuously..)
Now let's put the equation:
x+x+2+x+4+x+6 = 1052
Let's add all the variables and numbers separately in order to simplify:
4x+12 = 1052
Subtract 12 on both sides.
4x = 1040
Divide 4 on both sides
x = 260
Now, we know the value of x. Let's put it in our numbers.
Let the first number be = x = 260
Let the second number be = x+2 = 262
Let the third number be= x+4 = 264
Let the fourth number be+ x+6 = 266
Now, let's double check to see if our answers are correct.
260+262+264+266 = 1052
Valla! They are.
Hope this Helps! Please Mark Brainliest!
find the measure of one interior angle for the following regular polygon
Answer:
144 degrees
Step-by-step explanation:
We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:
(n-2)(180) = ?
(10-2)(180) = ?
(8)(180) = 1440.
Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).
1,440/10 = 144
= 144 degrees
The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.
Answer:
Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].
Circumference of this wheel:
[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].
Distance travelled in one hour:
[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].
Number of revolutions required for covering that distance:
[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].
The sweet shop sells licorice at $9.40 per kg. How much would 250g of licorice cost?
Answer:
Step-by-step explanation:
1kg=1000
what is 2x 3 -7x^{3}−7x 3
Answer:
It is given that
4x/3−7x/3=1
Step-by-step explanation:
By further calculation
−3x/3=1
So we get
−x=1
x=−1.
if 20,x,y,z,25 are in AP .find the value of X,y,z.
Answers:
x = 21.25y = 22.5z = 23.75=============================================================
Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
x = 20+dy = 20+2dz = 20+3dNotice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
x = 20+d = 20+1.25 = 21.25y = 20+2d = 20+2*1.25 = 22.5z = 20+3d = 20+3*1.25 = 23.75We could convert these to fraction form, but I find decimal form is easier in this case.
I WILL GIVE BRAINLIEST!! NO LINKS PLZ
Simplify.
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]
[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]
[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]
Note : In the second step , I divided √6 by √3 as a result of it , I got √2- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
D. 769.7 ft^3
Step-by-step explanation:
because area of a solid is area of the base times the height, so to find the area of the base, it is pi*r^2(3.14*7^2), and that equals to 153.94, times that by 5 and you get 769.7 ft^3
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
Add 3 and -2.
Answer:
hello there...
you know BODMAS for sure
First brackets then of then divi then multi then add and then subtract
going by BODMAS
we need to first of all multiply of -6 and 3
hence ans is multiplying -6 and 3
( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)
Find n.
help pleaseeee
Answer:
C
Step-by-step explanation:
Im pretty sure its c, i took this test not too long ago.
