Answer:
Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Now,
Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5
Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]
If the lines L and M are parallel to each other,
m = n
or, 0.5 = [tex]\frac{-2}{W-1}[/tex]
or, 0.5 (W - 1) = -2
or, W - 1 = -4
or, W = -3
Therefore the required value of W is -3.
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
The area of figure will be;
⇒ 105.56 km²
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is shown.
Now,
The area of figure is find as;
Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)
= 84 + 3.14 × 4 + 9
= 93 + 12.56
= 105.56 km²
Thus, The area of figure will be;
⇒ 105.56 km²
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Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is
Answer:
(-2,0) and (1,0)
Hope this helps!
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!
Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
A. 25p
B. – 25p
C. p – 25
D. p + 25
Answer:
C
Step-by-step explanation:
P-25
4(x−3)=1/2(x/2+5) how many solutions
I think it might be six, sorry if its wrong, but I hope its right!!
Hope this helps!!!!
love: Deku <3
which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1
Answer:
4.16x+6y=1
Step-by-step explanation:
The given equation of the line is:
8x + 3y = 1
From this line, we need to re-arrange and write in the form of the equation of a straight line.
The equation of a straight line is given as:
y = mx + c
8x + 3y = 1
3y = -8x + 1
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{-8}{3}[/tex]
Any line from the given choices that will be parallel to the is must have the same slope as it is.
That line is 16x + 6y = 1
6y = -16x + 1
y = [tex]\frac{-16x}{6}[/tex] + [tex]\frac{1}{6}[/tex]
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{6}[/tex]
r/3+2=21 solve for r
Answer:
r=63
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/3-(21)=0 r
Simplify —
3
r
— - 21 = 0
3 2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
21 21 • 3
21 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Please helppppp.........
Answer:
x = 6.1
Step-by-step explanation:
Reference angle = 29°
Hypotenuse = 7
Adjacent side = x
Applying trigonometric ration, we would have:
Cos 29 = x/7
Multiply both sides by 7
7*cos 29 = x
6.12233795 = x
x = 6.1 (nearest tenth)
Need your help, if you could help thanks! <3
Answer: 48 scoops
Step-by-step explanation: It’ll take 4 scoops per liter.
So, for 12 liters use the equation 4 x 12 = 48
Answer: B. 48
Step-by-step explanation: 4 scoops of 1/4 of a liter is equivalent to 1 full liter. Since we need 12 liters, we multiply 12*4 to give us the amount of scoops needed.
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?
9514 1404 393
Answer:
80.67 fps
Step-by-step explanation:
1 mi/h = 22/15 ft/s
Multiplying this equation by 55, we get ...
55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s
three pounds of flour cost $1.65. how much flour do you get per dollar? round your answer to the nearest hundredth.
Answer:
1.8181818181818181 etc., which rounds to 1.82
Step-by-step explanation:
1.65/3 = 1/x
3/1.65
We get 1.80 pounds of flour for 1 dollar.
What is unitary method ?Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.
Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.
According to the given question three pounds of flour cost 1.65 dollars.
So, One pound of flour will cost (1.65/3) dollars which is
= 0.55 dollars.
In 1 dollar we will get (1/0.55) pounds of flour which is
= 1.81 pounds.
Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.
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Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
HELP!!! find the value of x
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
If the relationship is proportional, what is the missing value from the table?
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
Which of the following values of d will result in a true statement when substituted into the given equation?
d + 3(2 – d) = 2
A. d = 0
B. d = 1
C. d = 2
D. d = 5
Answer:
Answer is D=2
Step-by-step explanation:
because when i divide variables it gets me the answer
Answer:
it right
Step-by-step explanation:
Please solve this problem
Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.
Write an equation that relates the total slices of pizza, T, to the number of guest, g.
Thanks
Answer:
3g + 8 = T
Step-by-step explanation:
3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.
Hope this helps :D
if there is a trophy that is 13 inches tall and it's shadow is 26 inches and there's another trophy that's 7 inches tall, whats is it's height?
The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one properly placed side to make them congruent.
I NEED HELP!! Please
Answer:
Step-by-step explanation:
P represents the original price of the sandwich
1.5 represents the discount
A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches
Answer:
379.94 square inches, or 379.94 in².
Step-by-step explanation:
The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.
Since the formula says r², 11 needs to be squared, or multiplied once by itself. 11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.
With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².
Let me know if I need to change or clarify anything. I hope this helps! :D
Answer:
19.6ft2
Step-by-step explanation:
What is the sign of B/c
???????????????????????????
Answer:
-9
Step-by-step explanation:
Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]
Answer:
[tex]L_4=0.7595[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=\frac{1}{x-1},[/tex][2,3]
We have to find L4
It means n=4
[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]
Now, intervals are
[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]
Now,
[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]
[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]
[tex]L_4=0.7595[/tex]
