Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y + 4 = 3(x-3)
B. y + 4 = -3(x - 3)
C. y - 4 = -3(x+3)
D. y - 4 = 3(x+3)
Answers
Answer:
B
Step-by-step explanation:
slope is negative
point slope formula is : (y-[tex]y_{1}[/tex]) = m(x-[tex]x_{2}[/tex])
the formula has minus signs that change the coordinates to the opposite value .
Related Questions
Consider a student loan of 15,000 at a fixed APR of 9% for 25 years. A) Calculate the monthly payment B) Determine the tiaras amount paid over the term of the loan C) Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Answers
Answer:
The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
Step-by-step explanation:
Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:
((15,000 x 0.09) x 25) + 15,000 = X
33,750 + 15,000 = X
48,750 = X
48,750 / (25x12) = X
48,750 / 300 = X
162.5 = X
48,750 = 100
33,750 = X
33,750 x 100 / 48,750 = X
69.23 = X
Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
NEED HELP ASAP
6 th grade mathematics question
Answers
Answer:
B, 8 (2a+3b).
Step-by-step explanation:
First, let's let A=1 and B=2. 16a+24b would equal 64, and so would B, which is 8 (2a+3b). Then lastly you solve, and you get 64 for both of them, which means B is equal to that expression.
Answer:
B
Step-by-step explanation:
8(2a) = 16a
8(3b) = 24b
16a + 24b
Find the product with the exponent in simplest
form. Then, identify the values of x and y.
6
X
- 64
.
6
X
y =
DONE
Answers
Answer:
[tex]\displaystyle 8^\bigg{\frac{8}{3}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \bigg(8^\bigg{\frac{2}{3}} \bigg)^4[/tex]
Step 2: Simplify
Exponential Rule [Powering]: [tex]\displaystyle 8^\bigg{\frac{2}{3} \cdot 4}[/tex]Multiply: [tex]\displaystyle 8^\bigg{\frac{8}{3}}[/tex]The length of a rectangle is 3 cm more than its breadth. If the perimeter of the
rectangle is 46 cm, find the length and the breadth.
Answers
Answer:
breadth = 10 cm
length = 13 cm
Step-by-step explanation:
so,
perimeter = 46cm
2(l+b) = 46cm
or, 2(3+b+b) = 46cm ( because l = 3+b)
or, 2(3+2b) = 46cm
or, 6 + 4b = 46cm
or, 4b = 46cm - 6
or, 4b = 40cm
or, b = 40/4 cm
so, b = 10 cm
now,
l = 3cm + b
l = 3 cm + 10cm
= 13cm
Answer:
Let us assume the breadth of the rectangle be 'b' cm.
So length of the rectangle will be b+3 cm.
Now
Perimeter =46
[tex] \large \mid\orange {2(l + b) = 46}[/tex]
[tex] \large \mid\orange {2(b+3+b)=46}[/tex]
[tex] \large\mid \orange {2(2b+3) = 46}[/tex]
[tex] \large\mid \orange {4b + 6 = 46}[/tex]
[tex] \large \mid \orange{4b = 46 - 6}[/tex]
[tex] \large\mid \orange {4b = 40}[/tex]
[tex] \large \mid \orange{b = \frac{40}{4} }[/tex]
[tex] \large\mid \orange {b = 10}[/tex]
[tex] \large \orange{l=b+3= \:10 + 3 = 13 cm }[/tex]
Length = 13cm
Breadth = 10cm
What’s the solution
Answers
Answer:
x ≥ 12
Step-by-step explanation:
-3/4x +2 ≤ -7
Subtract 2 from each side
-3/4x +2-2 ≤ -7-2
-3/4x ≤ -9
Multiply each side by -4/3, remembering to flip the inequality
-3/4x * -4/3 ≥ - 9 *(-4/3)
x ≥ 12
Answer:
x>=12
Step-by-step explanation:
-3/4x + 2<=-7
-3/4x <= -7 -2
-3/4x<=-9
cross multiply
-3x<=-36
dividing throughout by -3
x>=12
The frequency n of vibration of a stretched string is a function of its tension F, the length l and the mass per unit length m. From the knowledge of dimensions, prove that, n∝1/l √f/m
Pls fast
Answers
Answer:
n ∝ (1/l) (√F/m)
Step-by-step explanation:
Since frequency, n of vibration of a stretched string is a function of its tension F, the length l and the mass per unit length m, and has dimensions [T]⁻¹ where T = time, its dimension must be equal to that of the combination of F, L and m
Since n = f(F,L,m)
n = kFᵃLᵇmˣ
dimension of n = (dimension of F)ᵃ × (dimension of L)ᵇ × (dimension of m)ˣ
Since n = frequency, dimension of n = [T]⁻¹
F = Force, dimension of F = [M][L][T]⁻²
Also, L = length, dimension of L = [L] and
m = mass per unit length, dimension of m = [M][L]⁻¹
So, n = FᵃLᵇmˣ
[T]⁻¹ = ([M][L][T]⁻²)ᵃ( [L] )ᵇ([M][L]⁻¹)ˣ
[T]⁻¹ = ([M]ᵃ[L]ᵃ[T]⁻²ᵃ[L]ᵇ([M]ˣ[L]⁻ˣ
[M]⁰[L]⁰[T]⁻¹ = ([M]ᵃ ⁺ˣ)([L]ᵃ ⁺ ᵇ ⁻ˣ)([T]⁻²ᵃ)
equating the exponents on both sides, we have
a + x = 0 (1 )⇒ x = -a
a + b - x = 0 (2) ⇒
-2a = -1 (3) ⇒ a = 1/2
Substituting x into 2, we have
a + b -(-a) = 0
a + b + a = 0
2a + b = 0
b = -2a
b = -2 (1/2)
b = -1
x = -a = -1/2
So, substituting the variables into n, we have
n = kFᵃLᵇmˣ
n = kFᵃLᵇmˣ
[tex]n = kF^{\frac{1}{2} }L^{-1}m^{-\frac{1}{2} }[/tex]
n = k/l(√F/m)
n ∝ (1/l) (√F/m)
George bought a shirt and a pair of pants at a clothing store. The pants cost $5.33 more than the shirt, and he used a $10 off coupon to purchase the shirt. The equation below is used to determine the cost of the shirt before the coupon, s.
Answers
Answer:
15.99
Step-by-step explanation:
5.33+5.33+5.33
What statement is true about the following pair of rectangles
Answers
Answer:
The second choice
Step-by-step explanation:
For this, we can use the process of elimination. The first choice is crossed out, since they are mix and matching the numbers. The third choice is also crossed out since the second choice is correct. The second choice is correct because 9/11*3=27/33.
Answer:
They are similar because 9/11 = 27/33
Need help ASAP hshehebsbeb
Answers
Answer:
I thing option A. all real numbers.
but IAM not exactly sure....
Answer:
all real numbers is correct answer
A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful, however he cannot try more than 3 times or the phone will lock him out. Let S denote a successful attempt and F denote a failed attempt. What is the sample space for this random experiment
Answers
Answer:
(S, FS, FFS, FFF)
Step-by-step explanation:
According to the Question,
Given, A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful.however, he cannot try more than 3 times or the phone will lock him out.Let, S denote a successful attempt and F denote a failed attempt.So, the sample space for this random experiment is
{S, FS, FFS, FFF}
The person stops trying when he successfully enters the code or when he has failed at all 3 attempts .
Classify the graph as a linear function, nonlinear function, or relation (non-
function)
Answers
Answer: Nonlinear function
Step-by-step explanation:
What does the digit 8 represent in 687,413?
Eight hundred thousand
Eight thousand
Eight hundred
O Eighty thousand
Answers
Answer:
Eighty thousand
Step-by-step explanation:
Look at the place value chart.
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
(1, 155)
(17, 11)
(2, 17)
(1, 11)
Answers
9514 1404 393
Answer:
(1, 155)
Step-by-step explanation:
Let f(x) = 17n(x) +2, where n(1) = 9.
Then we have ...
f(1) = 17n(1) +2 = 17×9 +2 = 153 +2
f(1) = 155
A point on the new graph would be (1, 155).
Mary wants to buy candies with an amount of money she has in her pocket.  we know that if she had $3.20 more money she could buy 120 candies. While if she had $2.40 less money she could buy 85 candies. What is the price per candy?
Answers
Answer:
the price per candy is $0.16
and she has $16.00 in her pocket.
Step-by-step explanation:
x = the money in her pocket.
y = the price per candy
x + 3.2 = 120×y
x - 2.4 = 85×y
y = (x - 2.4)/85
=>
x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17
=>
(17x + 17×3.2)/17 = (24x - 57.6)/17
17x + 54.4 = 24x - 57.6
54.4 = 7x - 57.6
112 = 7x
x = 16
y = (16 - 2.4)/85 = 13.6/85 = 0.16
A ball is thrown vertically upward from the top of a building. The height (in meters) of the ball after t seconds is given by the function
s(t) = -(t-3)^2+ 14. Find the instantaneous velocity of the ball at t= 4 seconds by considering the average velocities over the intervals [3.5, 4],
[3.7.4]. [3.9,4]. [3.99, 4], [4, 4.01], [4, 4.1], [4, 4.3], and [4,4.5).
ОА.
1.50 m/sec.
OB.
2.00 m/sec.
Ос.
-2.00 m/sec.
OD. -1.50 m/sec.
Answers
9514 1404 393
Answer:
C. -2.00 m/sec
Step-by-step explanation:
The average velocity on the interval [a, b] is found by ...
m = (s(b) -s(a))/(b -a)
One end of the interval remains constant here, so we can define 'd' so that the interval is [4, 4+d]. Then the average velocity is ...
m = (s(4 +d) -s(4))/((4 +d) -4)
m = (s(4+d) -s(4))/d
The attached table shows the average velocity values on the intervals required by the problem statement. Respectively, they are ...
-1.5 m/s, -1.7 m/s, -1.9 m/s, -1.99 m/s, 2.01 m/s, 2.1 m/s, 2.3 m/s, 2.5 m/s
We expect the instantaneous velocity at d=0 to be the average of the values at d=-0.01 and d=+0.01. We estimate the instantaneous velocity at t=4 seconds to be -2.00 m/s.
How to solve and answer
Answers
Answer:
The corrects answers are: C, D, E, F
Step-by-step explanation:
I need to match them but I don't know how
Answers
Given:
The system of equations is:
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
The given matrices are [tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex], [tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex], [tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex].
To find:
The correct names for the given matrices.
Solution:
We have,
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
Here, coefficients of x are 1 and 1 respectively, the coefficients of y are 3 and -3 respectively and constant terms are 5 and -1 respectively.
In the x-determinant, the coefficients of x are in the first column and the constant terms are in the second column. So, the x-determinant is:
[tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex]
In the y-determinant, the constant terms are in the first column and the coefficients of y are in the second column. So, the y-determinant is:
[tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex]
In the system determinant, the coefficients of x are in the first column and the coefficients of y are in the second column. So, the system determinant is:
[tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex]
Therefore, the first matrix is y-determinant, second matrix is x-determinant and the third matrix is the system determinant.
Given g(x) -x + 4, solve for a when g(x) = 8.
Answers
Answer:
x = 12
Step-by-step explanation:
g(x) - × + 4 =0
put g(x) = 8
so, 8 - x + 4 = 0
x = 12
Answer:
x = - 4
Step-by-step explanation:
Given g(x) = - x + 4 and g(x) = 8 , the equate the right sides, that is
- x + 4 = 8 ( subtract 4 from both sides )
- x = 4 ( multiply both sides by - 1 )
x = - 4
solve marked question only !
plz
Answers
Answer:
hello ok I will share u the link where u can find step by step answers
Answer:
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
A Let tower be AB
Let point be C
Distance of point C from foot of tower = 30m Hence,
BC = 30m
Angle of elevation = 30°
So < ACB = 30°
Since tower is vertical,
< ABC = 90°
Y=x^3+x what's the domaine and range
Answers
domain is (- infinity, infinity)
range is (- infinity, infinity)
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
Answers
Answer:
m = +/- 12
Step-by-step explanation:
A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).
When we plug in what we know, we have:
m^2 - 4(18)(2) = 0.
Then using algebraic properties, solve for m.
m^2 - 144 = 0
m^2 = 144
m = +/- 12
When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.
Answer: C
Step-by-step explanation:
EDGE 2023
find the derivatives of f(X)=25
Answers
Answer:
The derivative of any constant number is 0.
So,
Differentiating with respect to "x",
d f(x)/dx
=d 25/dx
=0
Sally wants to make a chocolate crunchy cake.
The recipe uses 16 biscuits and 22 squares of chocolate.
13
Sally wants to make her cake with 24 biscuits.
How many squares of chocolate will she need?
Answers
Answer:
33 squares of chocolate need
Answer:
33 Biscuits
Step-by-step explanation:
Uni method
How much biscuits do we need for 1 square of chocolate?
22/16 = 1.3
For 1 square of chocolate she needs 1.3 Biscuits.
So for 24 biscuits,
24 * 1.3
=33 biscuits
What is the first step in using the square root property?
Answers
Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.
Step-by-step explanation:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
Photo attached!!!!!!!
Answers
Answer:
i cant see the photo
Step-by-step explanation:
What are the coordinates of the vertices of the triangle under the translation (x, y) -> (x + 2, y + 3)?
(−4, 5), (3, 4), (0, 0)
(6, −5), (5, 2), (1, −1)
(5, −4). (4, 3), (−1, 2)
(−5, 6), (2, 5), (−1, 1)
Answers
9514 1404 393
Answer:
(d) (−5, 6), (2, 5), (−1, 1)
Step-by-step explanation:
No answer choices have any points in common, so we only need to find one translated point to determine the correct answer choice.
For the point on the y-axis, (0, 2), the translation is ...
(x, y) ⇒ (x +2, y+3)
(0, 2) ⇒ (0 +2, 2 +3) = (2, 5) . . . . matches choice D
Find the zeros of the quadratic function: y = 6x2 + x – 35.
Answers
The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
How to determine the zeros?The function is given as:
y = 6x^2 + x - 35
Expand the function
y = 6x^2 + 15x - 14x - 35
Factorize the function
y = (2x + 5) * (3x - 7)
Set the function to 0
(2x + 5) * (3x - 7) = 0
Split
2x + 5 = 0 or 3x - 7 = 0
Solve for x
x = -2.5 or x = 7/3
Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
Read more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.
Answers
7x-12=3y
7x-3y=12
3x+3y=168
7x-3y=12
10x=180
X=18
56-18=y
Y=38
Answer:
x = 18
y = 38
Step-by-step explanation:
Let the smaller number be = x
Let the larger number be = y
Sum of the number, x + y = 56 --------- ( 1 )
Seven times smaller number = 7x
Three times larger number = 3y
Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )
Solve ( 1 ) and ( 2 )
x + y = 56 => x = 56 - y
Substitute x in ( 2 )
7x - 3y = 12
7(56 - y) - 3y = 12
392 - 7y - 3y = 12
-10y = 12 - 392
-10y = - 380
y = 38
Substitute y in ( 1 )
x + y = 56
x + 38 = 56
x = 56 - 38
x = 18
See the image for the question
Answers
Answer:
The value of equipment after 2 years is $58,800
Step-by-step explanation:
f(n) = 67,500(14/15)ⁿ
where f(n) is the value after n years.
1 – 1 / 15 = 14 / 15.
Are the triangles congruent? Why or why not?
Answers
Answer:
Yes, because they are identical to eachother
Step-by-step explanation: