[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]
Need help desperately
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
a) 8c⁴d⁵/2c³d³
1: you would divide the 8 by 2
2: subtract the exponents on c so it would be 4-3 = 1
3: subtract the exponents on d so it would br 5-3 = 2
4: put it all together so it would be 4c¹d² but you dont need the 1 above c
b) 1: divide 9 by 3
2: subtract exponents on a so it would be 3-1 = 2
3: subtract exponents on b so it would be 5-2 = 3
4: put it all together so it would be 3a²b³
hope this helped!! :)
Answer:
a. 4cd² b. 3a²b³
Step-by-step explanation:
[tex]\frac{8c^4d^5}{2c^3d^3}[/tex]
= [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]
= [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 4cd²
b. [tex]\frac{9a^3b^5}{3ab^2}[/tex]
[tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]
[tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 3a²b³
two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?
Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.
Thus,
a. To determine the distance of the first biker from the parking lot.
Let the required distance be represented by x. Applying the Pythagoras theorem, we have:
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]
= 64 + 225
= 289
x = [tex]\sqrt{289}[/tex]
= 17
x = 17 km
Thus, the first biker is 17.0 km from the starting point.
b. To determine the distance of the second biker from the parking lot.
Let the required distance be represented by x. So that applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
[tex]x^{2}[/tex] = 289 + 120
= 409
x = [tex]\sqrt{409}[/tex]
= 20.2237
x = 20.22 km
Thus, the second biker is 20.22 km from the starting point.
Therefore, the second biker is farther from the parking lot.
A sketch of the path of travel for the two bikers is attached for more clarifications.
Visit: https://brainly.com/question/22699651
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Thank you for whoever solves this, I will make sure to add brainliest if possible
Answer:
66,000 kg·km/hr
Step-by-step explanation:
p = mass × velocity
p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr
_____
Additional comment
Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.
Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?
Can someone help help me
Answer:
15π/2 ft
Step-by-step explanation:
Arc length is given by the formula ...
s = rθ . . . . . r = radius; θ = central angle in radians
A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...
s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft
Calculator
What is the value of x
Answer:
71.8
Step-by-step explanation:
Please help me I need help
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b
Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 28%
Answer:
The retail price would be $93.6
Step-by-step explanation:
This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!
If the Fed's reserve requirement is 5 percent, then what quantity of excess reserves does the Bank of Cheerton now hold?
The quantity of excess reserves that the Bank of Cheerton now hold is $210
From the attached table, the amount generated on the reserve is $4,200
If the Fed's reserve requirement is 5 percent, then the quantity of excess reserves that the Bank hold is given as:
Quantity of excess reserves = 5% of $4,200
Quantity of excess reserves = 0.05 * 4200
Quantity of excess reserves = $210
Hence the quantity of excess reserves that the Bank of Cheerton now holds is $210.
Learn more on discounts here; https://brainly.com/question/24304697
Please help asapppppp!!!!!
Answer:
x is 8.2 I think hold on
yeah I think
can i please have help with this question branliest for the correct answer
Answer:
y = -4x+2
Step-by-step explanation:
To find a perpendicular line, the slope would be -4.
y=-4x
Since the point it has to go through is (0,2), the y-intersept is already given.
y = -4x+2
Hey y’all please help me ASAP.
Answer:
the top right box
Step-by-step explanation:
Answer:
-g-8≥9
Step-by-step explanation:
Just ask.
Hope this helps. :)
If you want 10 points answer my question
Plz
List the angles of A KLM with vertices
K(-2,-2), L(2, 6), M(7, -2) in order
from smallest to largest.
The required angles from smallest to largest are m<M < m<L < m<K
Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)
The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<KGet the measure of KL, KM and LM using the distance formula as shown:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]
For the length KL with coordinate points K(-2,-2), L(2, 6)
[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]
For the length KM with coordinate points K(-2,-2), M(7, -2)
[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]
The length LM with coordinate points L(2,6), M(7, -2)
[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]
From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K
Learn more on distances between two points here: https://brainly.com/question/23848540
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
16 and 2
Step-by-step explanation:
16+2=18
16-2=14
write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%
At the pool, three out of every seven kids are not wearing goggles. Which of the following is the fraction of kids who are not wearing goggles?
A : 4/7
B : 3/7
C : 3/4
D : 4/3
Answer:
B.3/7
Step-by-step explanation:
A person jogs 780 meters south and
then 360 meters west.
What is the magnitude of the
person's resultant vector?
Answer: Approximately 859.06926 meters
Explanation:
Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
c = sqrt( 780^2 + 360^2 )
c = 859.06926
The distance from the original starting point to the finish line is roughly 859.06926 meters.
How many fish are in the aquarium in the restaurant?
Answer:
Which Restaurant and aquarium
Step-by-step explanation:
If you tell the name I can answer it
Solve for x. I need help understanding my math.
Answer:
x = 33
Step-by-step explanation:
11 - 4 = 7
You need to make that fraction equal 11
33/3 = 11
I hope this helps!
Look at the equation 14n=98 work out the value of 14(n+1)
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
-------------
14(n+1)=14(7+1)=14(8)=112
Suppose you have 5 different colored shirts (grey, white, black, brown, and orange) and 4 kinds of pants (jeans, sweatpants, khakis, and plaid).
What is the probability on Monday you wear a grey shirt with jeans and put it in the laundry, then on Tuesday wear a black shirt with sweatpants?
OA)
OB)
OC)
OD
Done and Review
Next Question
2021 McGraw-Hill Education. All Rights Reserved
Privacy and Cookies | Terms of Use | Minimum Requirements Platform Status
Sign out
INTL 0
Answer:
A
i will go with a. hope to help u
I don’t understand this question
Answer:
1/64
Step-by-step explanation:
Answer: that would be 1/64
Step-by-step explanation:
for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2
and 8*8=64 therefor the answer is 1/64
*you put it over 1 to get rid of the negative exponents*
4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?
Answer:
assuming its dividing by two, 7.8135
Step-by-step explanation:
if you're dividing by something else the answer will be different. hope this helps
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65
Over what interval is the graph of
y=-2 + 1x - 2 increasing?
30 points! "A triangle with the side lengths of these numbers can not exist: 9, 3, and __?"
Answer:
A triangle with the side lengths of these numbers can not exist: 9,3 and 6
Step-by-step explanation:
hope it helps
Step-by-step explanation:
Let the third side be x
We know that
Sum of two sides of a triangle must be greater than the third side
So,
9 + 3 > x
12 > x (1)
Also, difference of two side of triangle must be smaller than the third side
9 - 3 < x
6 < x (2)
From 1 and 2 we concluded
6 < x < 12
The length of third side would lie between 7 to 11
HELP PLEASE. The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation.
The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
Learn more about quadratic equation here: https://brainly.com/question/17210919
Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
HELP please it’s due in a hour
Answer:
5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.
Step-by-step explanation:
First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.
Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.
Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.
So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.
5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.