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4.25 x 6.86 = 29.155
find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2
Answer (assuming it can be put in point-slope format):
[tex]y + 4 = 3(x-2)[/tex]
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex], to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:
[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]
Roger is 71.5 inches tall. How many centimeters tall is she?
1 inch = 2.54 cm
Do not use a label - just numbers.
Answer:
181.61 centemeters
Step-by-step explanation:
Answer:
181.61
Step-by-step explanation:
Make a proportion:
1 inch = 2,54 cm
71,5 inches = x cm
x = 71,5 * 2,54 = 181,61 cm
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
What is the slope of the line
[tex]\frac{1}{2}[/tex] Or 2.
(Pretty sure it's the first option.)
Brainiest if correct? Ty!
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
PLEASE HELP, The diameter of a semicircle is 2 meters. What is the semicircle radius
Answer:
Step-by-step explanation:
d= 2r
therefore the radius is 1
Which statement about the reflection below is true?
Answer:
A
Step-by-step explanation:
took le test review and got that question right
Answer:
A
Step-by-step explanation:
got it right edge2021
Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models the amount Thomas needs to save?
a > 550.45
<550.45
O $60.45 ca
50 45 = a
Answer:
its c
Step-by-step explanation:
This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.
Please help me to complete the impact on equity
Please answer
Answer:
Equity is same as equility it is for making students fools.
Step-by-step explanation:
Equity=Equality
Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
11g+7b= both classes
about 61% chance for both classes to be a girl picked?
please help it’s urgent don’t give me the wrong answer :(
Answer:
i dont know
Step-by-step explanation:
this is a new answer bc someone deleted my very helpful one
PLS HELP ME AGAIN SMART PEOPLE I NEED A GOOD ANSWER PLSS IM CRYING
Answer:
1.b
2.d
Step-by-step explanation:
1.6(3x + 5) = 18x + 30 = 15x + 30 + 3x.
SO, the ? is equal to 30.
2. d
Joey has 10 packs of gum. 1/5 of his pack are spearmint. How many of his packs are spearmint?
A. 2 packs
B. 10 packs
C. 1 pack
D. 5 packs
Answer:
A. 2 packs
Step-by-step explanation:
1 3rd x 9k plus 12 =15
Answer:
k=1
Step-by-step explanation:
⅓×9k+12 = 15
3k+12 = 15
3k = 3
k = 1
Based on the completed table above what is the value of f?
Answer:
0
Step-by-step explanation:
Answer:
0 is the best answer.
Step-by-step explanation:
i neeeeeeedddd helpppppppppp
Answer:
C.
Step-by-step explanation:
I honestly forget how to do this.
All credit goes to victoradisla08
What is the equation of the line passing through the point ( 0,0), ( 2, 1), and ( -2, -1)
Answer:
so basic 0,0 is not proper so that would mean ( -2)Step-by-step explanation: its the awnser
You do not need to draw the line of best fit, I just need the answers for the rest. Thanks!
Answer:
c
Step-by-step explanation:
IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
3.28ft
Step-by-step explanation:
Rectangular Prism Formula:
l*w*d = v
(plug in values)
2.6*1.4*d=11.94
3.64*d=11.94
d = 3.28ft
5 x 5/10 as a fraction
Picture question middle school math
Answer:
[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]Step-by-step explanation:
to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
59 in²Write the equation for a vertical line going through the point
(-4,1)
Answer:
x = -4
Step-by-step explanation:
a vertical line means it will cross only the x-axis, not the y-axis
wherever it cross the axis, that will be the point in your equation
example, a vertical line through the point (5, -10) has the equation x = 5
mayra has $2.95 in nickels and dimes. the number of dimes is 3 less than twice the number of nickels. find the number of nickels.
Answer:
Mayra has 13 nickels
Step-by-step explanation:
Given
Represent dimes with D and nickels with N.
So, from the first statement:
[tex]0.10D + 0.05N = 2.95[/tex]
From the second statement:
[tex]D = 2N - 3[/tex]
Required
Find N
Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]
[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]
Open bracket
[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]
[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]
Collect Like Terms
[tex]0.20N + 0.05N = 2.95+0.30[/tex]
[tex]0.25N = 3.25[/tex]
Make N the subject:
[tex]N = \frac{3.25}{0.25}[/tex]
[tex]N = 13[/tex]
What is the range of f(x) = (3/4)^x -4?
Answer:
[tex]f\left(x\right)>-4[/tex]
Step-by-step explanation:
[tex]f\left(x\right)>k[/tex]
[tex]k=-4[/tex]
[tex]f\left(x\right)>-4[/tex]
1
2
Janice has 3 cups of flour. She makes 5 equal-sized portions from the flour.
8
She uses one of the portions to make crepes. Each crepe uses 45 of a cup of flour.
How many crepes does Janice make?
OA
75
B.
15
c.
OD
3
Answer:
B
Step-by-step explanation:
I want the answer only, Due now.
Answer:
Write the equation then try the equation with the numbers from choice A then go down. do all of them. which ever ends up equal is the right answer.
Step-by-step explanation:
I will do the math but you try it first, then ill do the math step by step in the comments, but only if you try it first. im trusting you to try.
Slope and equation
m = 4\5
(6,-5)
Answer:
[tex]y = \frac{4}{5} x -9.8[/tex]
Step-by-step explanation:
I hope this is what you were looking for.
Answer:
y=4/5x-9.8
Step-by-step explanation:
For this you would need to use point-slope form which is: y-y1=m(x-x1)
All you have to do is put in -5 for y1, 6 for x1, and 4/5 for m.
So, the equation should then be y+5=4/5(x-6)
Then, start by solving the right side of the equation by distributing 4/5 into (x-6)
This will then leave you with the equation, y+5=4/5x-24/5
Next, you have to subtract both sides by 5.
Once done, your final answer should be y=4/5x-9.8
A gallon of milk cost $2.79 in 2000. In 2015, it cost $ 3.98.
Does this show an increase or decrease?
What is the percent change in price?
Answer:
increase, about a 143% increase from milk in 2000
15. If R is the midpoint of OS, OR = 8x - 51 and RS = 3x - 6, find QS.
15.
PLEASE HELP
Answer:
if you mean find OS, then:
OS = 42
Step-by-step explanation:
if you mean find OS, then:
8x-51 = 3x-6
5x = 45
x = 9
OS = 2(3x-6)
OS = 6x-12
substitute for x
OS = 6(9)-12 =42
Step-by-step explanation:
ok si esoes la respuesta corecta yo les digo niños por que yo soy una profesora de mate y se mas de mate que ustedes
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13