Answers
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Related Questions
y = x + 2
-3x + 3y = 6
Answers
(20 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY)
Patricia claims she can graph a fourth degree polynomial function with 4 turning points. Is this possible or impossible?
Answers
Answer:
it is posible...because tha polynomial have expression than two algebriac
The graph shows the function f(x) = 3^x. What is the value of f ^–1 (x) at x = 3?
Answers
f(x) = 3^3
f(x) = 27
remember!! what is the value of f^-1(x)?
put the ^-1 on 27
27^-1 = 0.037...
ANSWER: 0.037...
The value of the inverse function f⁻¹(x) at x = 3 is 0.631.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
The function f(x) = 3ˣ is a one-to-one function, which means it has an inverse function denoted by f⁻¹(x).
To find the value of f⁻¹(x) at x = 3, we need to solve the equation f(x) = 3ˣ = 3 for x.
3ˣ = 3
Divide both sides by 3:
3ˣ/3 = 3/3
Simplify:
3ˣ-1 = 1
Take the natural logarithm of both sides:
ln(3ˣ-1) = ln(1)
Simplify:
ln(3ˣ-1) = 0
Now we can solve for x:
ln(3ˣ-1) = 0
3ˣ-1 = e⁰ = 1
3ˣ = 2
x = log₃(2)
So, f⁻¹(3) = log₃(2) ≈ 0.631.
Therefore, the value of f⁻¹(x) at x = 3 is 0.631.
Learn more about inverse functions here:
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an equivalent expression
5(x+10)+x
Answers
Answer:
6x+50 is the answer if u simplify it
Step-by-step explanation:
Answer:
6x+50
Step-by-step explanation:
Distribute the 5 and add
5x+50+x=6x+50
A musician started his practice at 10:15 p.M. He finished his practice at 11 p.M. How many minutes did he practice?
Answers
Answer:
45 minutes
Step-by-step explanation:
Answer:
45 minutes
Step-by-step explanation:
60(an hour, 11pm) - 15 = 45
Brianne evaluated the expression 42+4(6-2)
Answers
Answer:
Follow the rule of BODMAS (brackets, of, division, multiplication, addition, subtraction)
Ans: 58
Step-by-step explanation:
42 + 4(6 - 2) Process --> 6 - 2 = 4
= 42 + 4 * 4 Process --> 4 * 4 = 16
= 42 + 16 Process --> 42 + 16 = 58
= 58
Hope this helps :)
Which integer is NOT less than -21?
A. -30
B. -100
C -19
D -25
Answers
Answer:
Well -19 is less than -21 so it's the other three.
So it's -30, -100 and -25
Anyways the answer is 19!
Hope this helps!
Find the volume of a juice box that is 3 in by 1 1/2 in by 4 inches
Answers
Answer:
The volume of a juice box is 18 cubic inches.
Step-by-step explanation:
Given the dimensions
3 in by 1 1/2 in by 4 inchesInterpreting the dimensions such as:
[tex]l = 3[/tex] inch[tex]w=1\frac{1}{2}=\frac{3}{2}[/tex] inch[tex]h = 4[/tex] inchUsing the formula to determine the volume
[tex]V=\:l\:\times \:w\:\times \:h[/tex]
substitute l = 3, w = 3/2, h = 4
[tex]V=3\times \frac{3}{2}\times \:4[/tex]
[tex]V\:=\:\frac{36}{2}[/tex]
[tex]V = 18[/tex] cubic inches
Therefore, the volume of a juice box is 18 cubic inches.
4.
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 24 in. and 16 in.
A. 34.7 in.
B. 31 in.
C. 28.8 in.
D. 17.9 in.
Answers
Answer:
The answer is C. 28.8 in
Step-by-step explanation:
Given a=16 and b=24,
c = 28.84441 = 8√13
∠α = 33.69° = 33°41'24" = 0.588 rad
∠β = 56.31° = 56°18'36" = 0.98279 rad
h = 13.3128
area = 192
perimeter = 68.84441
inradius = 5.57779
circumradius = 14.42221 = 4√13
What is the least possible positive integer-value of n such that sqrt{18\cdot n \cdot 34}$ is an integer?
Answers
Answer:
n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.
Step-by-step explanation:
An integer is a number that is not a fraction.
Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:
18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.
From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:
√(18 x 17 x 34) = √(10404) = 102
The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17
The expression is given as:
[tex]\sqrt{18\cdot n \cdot 34}[/tex]
Expand the equation
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]
Express 8 as 3^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]
Rearrange the factors as follows:
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]
Express 2 * 2 as 2^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]
Evaluate all exponents
[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]
[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]
For the expression to be an integer, then the radical must be a perfect square.
Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least
i.e.
[tex]n = 17[/tex]
Hence, the least possible positive integer-value of n is 17
Read more about integers at:
https://brainly.com/question/13136492
The original price of a suit is $150. The store decides to mark up the suit 75%. What price is the store selling the suit for?
Answers
Answer:
262.50
i think thats the answer.
Answer:
$162.50
Step-by-step explanation:
75% of 150 is 112.5
112.5 + 150 = 162.5
!!!!NEED HELP ASAP PLS PLS PLS !!!
In a valley, Checkpoint A is located at 44 feet below sea level. Checkpoint B is located at 77 feet above sea level. How much higher is Checkpoint B than A?
121 feet
111 feet
33 feet
−33 feet
Answers
The answer is 111 feet.
Let f(x) and g(x) be polynomials as shown below.
Which of the following is true about f(x) and g(x)?
f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial.
Answers
Answer:
i think it is a but i am not sure please let me know
Step-by-step explanation:
good luck!
Did I get this right I need help plz
Answers
Answer: Choice C) 6x+5y = -20
You have the correct answer. Nice work.
=================================================
Work Shown:
y = (-6/5)x - 4
5y = 5*( (-6/5)x - 4 )
5y = 5*(-6/5)x - 5*4
5y = -6x - 20
6x+5y = -20
-----------
Explanation:
In the second step, I multiplied both sides by 5 to clear out the denominator. Two steps later (step 4), we have 5*(-6/5)x turn into -6x, so the fraction goes away.
In the last step, I added 6x to both sides to get the equation into standard form Ax+By = C. In this case, A = 6, B = 5, and C = -20.
If the sales tax for the city of Los Ángeles is 9.75% , how much tax would you pay for an item that costs $200.00
Answers
Answer:
219.50
Step-by-step explanation
9.75% can be converted into 0.0975 so multiply 0.0975 by 200 you get 19.5. add 19.5 to 200 and you get 219.50
i need help with the question below
Answers
Part B: $1.61
2(6k+8)-6k=4
What is the answer
Answers
Answer:
k=-2
Step-by-step explanation:
2(6k+8)-6k=4
12k+16-6k=4
6k+16=4
6k=-12
k=-2
If you answer correctly I will release a new question worth 100 points
Sir, what were the cases of Cherokee Nation v. Georgia and Worchester v. Georgia? How do the cases relate to what is happening now? (Question 2 is directed to the Native American man on the horse)
Answer:
Answers
What was the original price of a bookshelf whose price is $16, when there is a sale for 75% off of the original price?
Answers
Answer:
$64.00
Step-by-step explanation:
64-75%
I need to know how to solve this and the answer
Answers
The sum of two numbers is 51.
The difference of the same two numbers is 9.
What are the two numbers?
Answers
Answer:
21 and 30
Step-by-step explanation:
x + y = 51
x - y = 9
add the two equations and y's will cancel out
2x = 42 divide by 2
x = 21 so put 21 in for x in the top equation and solve
21 + y = 51
y = 30
A radio tower is located 275 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 37 and that the angle of depression to the bottom of the tower is 35 . How tall is the tower?
Answers
Answer:
399.8 feet
Step-by-step explanation:
Since the angle of elevation of the top of the tower from the building is Ф = 37°, and the distance between the tower and the building is x = 275 feet. Let the upper part of the tower be h. These three components from a right-angled triangle with opposite side = h and adjacent side = x. So, by trigonometric ratios,
tanФ = h/x
h = xtanФ
= 275 feet × tan37°
= 275 feet × 0.7536
= 207.23 feet
Also, the angle of depression of the bottom of the tower from the building is Ф' = 35°, and the distance between the tower and the building is x = 275 feet. Let the lower part of the tower be h'. These three components from a right-angled triangle with opposite side = h' and adjacent side = x. So, by trigonometric ratios,
tanФ' = h'/x
h' = xtanФ'
= 275 feet × tan35°
= 275 feet × 0.7002
= 192.56 feet
So, the height of the tower, H = h + h'
= 207.23 feet + 192.56 feet
= 399.79 feet
≅ 399.8 feet
Mr. Roble is traveling to the store and drives 4 miles in 16 minutes. Write a unit rate that describes Mr. Roble's trip to the store.
Answers
Answer: 4 miles = 16 min
4 miles : 16 min
Step-by-step explanation:
You have to multiply by the same number
The unit rate that describes Mr. Roble's trip to the store is 0.25 miles per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Mr. Roble is traveling to the store and drives 4 miles in 16 minutes.
∴ The unit rate that describes Mr. Roble's trip to the store is,
= (4/16) miles per minute.
= 1/4 or 0.25 miles per minute.
learn more about the unitary method here :
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The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left and 7 units up.
Then, give the coordinates of the marked point in the original figure and the final figure.
Point in original figure:
Point in final figure:
!!
Answers
Answer:
I'm pretty sure it's
original (4, -4)
final figure (-4, 3)
Reina and Sam are multiplying (84)5 (73)9.
Reina's Work Sam's Work
(84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727
Is either of them correct? Explain your reasoning.
Answers
Answer: So Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727
So Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.
Step-by-step explanation: Have a blessed day and hope this helps.
My reasoning is in there. I calculated I hope that is helps a lot. god bless you
PLS
HELP AND IF U DONT KNOW THEN DONT ANSWER.IF H ANSWWR RIGHT ILL GIVE BRAINLIEST
Answers
Answer:
Additive inverse: a+(-a)=0
Additive identity: a+0=a
Multiplicative inverse: a•1/a=1
Multiplicative identity: a•1=a
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities shown on the graph?
A)
(3, 3)
B)
(5,2)
C)
(-2,1)
D)
(1,-2)
Answers
Answer:
5,2
Step-by-step explanation:
Here, we want to find the point that is a solution to the system of inequalities
From what we have, the points that lie in the dark brown patch represent the solution to the system
Hence the coordinates lying in these parts are the solution to the system
An example of such coordinates is the point (5,2)
Draw a diagram to show the solution for 3/4 divied by
5/8.
Answers
Answer:
dhjshsjshshhshsgsgsgsggdd
DO THESE ALL PLZZ IM GIVING BRAINLIEST
Answers
Answer:
2/3, 2 and 1/6, 9/2
3:4 or 3/4
38%, 19/50, 0.38
97%, 97/100, 0.97
Step-by-step explanation:
Answer:
Step-by-step explanation:
5) Red : Green = 15 : 20 = 3 : 4
6) a) 28%
[tex]\frac{28}{100}[/tex]
0.28
b) 97%
97/100
0.97
Helppppppppppppppppppppppppppppppppppppp
Answers
To find slope you would use the slope formula of (y2-y1)/(x2-x1). This gives us the slope of -5/4. Then we find the y-intercept. When looking on the graph we see the only y intercept is the point (0,3), so we get the number 3.
Answer:
1.25X+3
Step-by-step explanation:
(-4,8) AND (4,-2)
Rise
-------
Run
8+2 = 10
-4-4= -8
1.25
from the y intercept 0, the line is a 3, (0,3)
