4.2.19
Solve the system of equations by substitution.
y= 4x - 13
2x + 3y = 17
The solution is
(Simplify your answer. Type an ordered pair.)
Answers
Answer:
x=4, y=3. (4, 3).
Step-by-step explanation:
y=4x-13
2x+3y=17
---------------
2x+3(4x-13)=17
2x+12x-39=17
14x-39=17
14x=17+39
14x=56
x=56/14
x=4
y=4(4)-13
y=16-13=3
Related Questions
Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x
Answers
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer:
x = -3.
Step-by-step explanation:
2^x = 0.125
Taking logs:
x ln 2 = ln 0.125
x = ln 0.125 / ln 2
x = -3
does 13, 12, 6 form a pythagorean triple?
Answers
Answer:
No
Step-by-step explanation:
the pythagorean theorem is
a^2+b^2=c^2
These numbers do not fit in these terms
Answer:
It doesn't.
Step-by-step explanation:
In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²
Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)
6² = 36
12² = 144
36 + 144 = 180
Now, we have to find if ti equals c². 13² equals 169
Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.
What statement about the volume of the cylinder and cone is true ?
Answers
Answer:c
Step-by-step explanation:
2. If the hovercraft is traveling in a straight line at a constant speed of 8 m/s for 4 seconds, what is it's
acceleration?
Answers
Answer:
Step-by-step explanation:
a= v/t, where v is the speed and t is the time
a=8/4= 2 m/s^2
Help a person out would ya...no links
Answers
Answer:
72.25
Step-by-step explanation:
12.5 x 8.5 = 106.25
5 x 6.75 = 33.75
106.25- 33.75 = 72.25
Answer: H
Step-by-step explanation:
You're tryna find the area of the wall
Which is the whole surface area minus the door's area
Whole surface area = 8.5 x 12.5 = 106.25
Door area = 5 x 6.75 = 33.75
106.25-33.75 = 72.5 ft^2
ALSO REMEMBER ITS FEET SQUARED
Units are very important just to let you know especially in physics
If you don't get the units to be same then its going to be one heck of a problem
okay no more ranting hope u like my answer
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
Answers
Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
To learn more about domain and ranges click here ;
https://brainly.com/question/26098895
#SPJ2
Which rule explains why these triangles are congruent?
Answers
Answer:
ASA
Step-by-step explanation:
ANGLE SIDE ANGLE
according to your option
What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope intercept form
Answers
Answer:
asap
Step-by-step explanation:
i will do it asap ...hejei
please help marking u Brainiest if answered
Answers
find the value of x plz help <3
Answers
Can someone check my answers to see if they are correct please? They are on the 2nd page. Thank you!
Answers
Answer:
Yes, all your answers are correct.
They are correctly matched with their reasons.
You buy a car for $25000. It lose 14% of its value every year. Sally wrote a function that represents the value of the car after t years. V(t)=25000(1.14)t Describe and correct the error
Answers
Answer:
Correct answer
V(t) = 25000(0.86) t
Step-by-step explanation:
You wont turn 14% into a multiplier (1.14 - multiplier) becuase the value decreases not increases so you do 100% - 14% to get 86% and divide by 100 to get 0.86...that's the value that goes in the brackets
2
Help what is the product of 46x10
Answers
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation:
A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.
Answers
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
|14-(6-x)| = |14-6+x| = |8+x|
|8+x| = 8+x if x > -8
|8+x| = -x-8 if x < -8
|8+x| = 0 if x= -8
I need help to find the perimeter of this shape can somebody help me RN.
Answers
1.) If ABCD is a parallelogram, which statement is true?
(1) AC = BD
(2) AD=BC
(3) ZA and ZC are supplementary
(4) ZA ZD
Answers
Answer:
think its two cuz i found a shape that matches ur questions
Which graph represents y as a function of x?
Answers
Explanation: there is never two y values for one x value
Answer:
A is the only function because it passes the vertical line test. 1 x may only have 1 y
Step-by-step explanation:
which of the following is a function
Answers
Answer:
This question is incomplete since you did not provide the options needed. Anyway, I will give you an explanation that will be useful for you to understand this.
Step-by-step explanation:
Understanding what a function is will allow you to have more clarity when solving the functions exercises and you will be prepared to understand more concepts that surround functions such as domain, image, relative extremes, their representation on the axes, etc.
A function is a relationship between two variables, one independent (x) and the other dependent (y) and for each value of x there corresponds ONE SINGLE VALUE OF y.
For example :
f(x) = 3x2 + 1
Factored completely, the expression 2x^2+10x-12 is equivalent to:
Answers
Answer:
(x + 6) (x - 1)
Step-by-step explanation:
2x² + 10x - 12
dividing by 2,
x² + 5x - 6
x² - x + 6x - 6
x(x - 1) + 6(x - 1)
(x + 6) (x - 1)
x = -6 or x = 1
1⁄4 + 4⁄8 + 4⁄6 = ???
Answers
☁️ Answer ☁️
Exact form:
17/12
Decimal:
1.416
mixed:
1 5/12
Hope it helps.
Have a nice day hyung/noona ￣▽￣
What steps do you need to take to solve the equation 7x+6= 18?
*x
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Add 6. Then, multiply by 2.
C. Subtract 6. Then, divide by 2.
D. Add 6. Then, divide by 2.
Answers
please PLEASE PLEASE
Answers
14, 21
Step-by-step explanation:
Let the two consecutive multiples be 7n and 7(n+1).
Now, it is given that:
(7n)² + [7(n+1)]² = 637
Simplifying,
49n² + (7n+7)² = 637
49n² + 49n² + 2(7n)(7) + 49 = 637
(as (x+y)² = x² + y² + 2xy)
98n² + 98n + 49 = 637
98n² + 98n - 588 = 0
Dividing by 98 to further simplify,
n² + n - 6 = 0
Factorising, we get
n² + 3n - 2n - 6 = 0
n(n+3) - 2(n+3) = 0
(n+3)(n-2) = 0
Therefore we get n = -3 or n = +2.
Hence, we get the consecutive multiples as 14 and 21.
Feel free to ask if you didn't understand any part.
Hope this helps! :D
Simplify the expression.
4x^2 + 10x - 6
———————
2x-1
-X+ 5
X+3
2(x + 3)
2x-6
Answers
Answer: C. 2(x + 3)
Suppose Rachel creates 1.5 pounds of trash each week. How many kilograms of trash is that? Choose the closest answer.
Answers
—————————
Answer:
.68
Step-by-step explanation:
Fund the value of x! I need this asap!! Please dont get it wrong and first correct answer gets brainliest!!
Answers
Answer:
Step-by-step explanation:
What is the equation???
A
∠A and
∠
B
∠B are vertical angles. If m
∠
A
=
(
5
x
−
24
)
∘
∠A=(5x−24)
∘
and m
∠
B
=
(
3
x
+
24
)
∘
∠B=(3x+24)
∘
, then find the value of x.
Answers
Answer:
24 degrees
Step-by-step explanation:
Two rectangles are similar. If the helght of the first rectangle is 3 Inches, and the helght of the second rectangle is 9 Inches, how much larger is the second rectangle's area?
1. They have the same area
2. 9 times as large
3. 3 times as large
4. 6 times as large
Answers
Answer:
3
Step-by-step explanation:
Simplify ech answer into a fraction, Show all work please!
Answers
Answer:
the first one is -9/40. the second one is 109/20. the third one is -8/35.
Step-by-step explanation:
here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.
A. 118 degrees
B. 180 degrees
C. 64 degrees
D. 62 degrees
Will you brainliest for the correct answer!!!
Please help!!
Answers
Answer:
62 degrees
Step-by-step explanation:
you need to understand the def.ang.biscectors, it is going to mean if a life bisects another line, the two angles on one side will add up to 180
therefore
180-118=62