REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
Help ! With step by step solution
Answer:
the correct answer is C
Step-by-step explanation:
first step you change the x and y powers to the square root(showing in the pic).
second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...
Simplify the complex number √-16+8.
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
A
1
Answer: [tex](x-3)^2 + (y-2)^2 = 16[/tex]
Explanation:
The center of this circle is point A(3,2). These coordinates are the (h,k) values.
The radius is r = 4
Plug those three items into the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex] to arrive at the final answer shown above.
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Step-by-step explanation:
hope this helps to u......
Need help asapppppppppp
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
Select the reason why these triangles are
similar. If they are not, select "Not similar."
1
88°
3
2
88
6
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
• 4/2= 6/3
So the 2 sides are congruent and also share same angle between.
• B. SAS is the similarity reason
3x (x - 2) = x^2 - 4
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
what is the answer ,and how do you solve it .please help
Answer:
10
Step-by-step explanation:
2000/ 2x = 10
Multiply each side by 2x
2000/ 2x = 10 *2x
2000 = 20x
Divide by 20
2000/20 = 20x/20
100 = x
Take the square root of each side
sqrt(100) = sqrt(x)
10 = sqrt(x)
HELP PLZ!!!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]
15 2 times n
16 10 race to the power 7
17 m race to the power 5
18 x times y
19 6 subtracted from 5 times n race to the power 2
20 1 added to 9 times a race to the power 3
21 x race to the power 3 times y race to the power 2
22 c race to the power 4 times d race to the power 6
23 3 times e added to 2 times e race to the power 2
Must click thanks and mark brainliest
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)
The combined radical is: [tex]- 26\sqrt{3}[/tex]
The radical is given as:
[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]
We start by expressing 12 as 4 * 3
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]
Split the radical
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]
Take square root of 4
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]
Combine like terms
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]
Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]
Read more about surd radicals at:
https://brainly.com/question/14923091
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
I need help ASAP!! Please explain how to solve the problem
Answer:
area of base = pi x radius^2 = (ill use 3.14 as pi)
3.14 x 7^2 = 153.86 in^2
height = 12
circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in
surface area = perimeter of base x height (lateral area) + 2 x area of base
= 43.96 x 12 = 527.52 + 2(153.86) = 835.24
hope that answers your question
(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)
Somebody can help me please
Help pls ?? I really don’t know what to do
Answer:
The answer is "C" f(x)= x+ 4 and g(x)= x^3 - 1
Step-by-step explanation:
all you have to do is replace the x in "G" with the "F" function
F(x) = x+4 and G(x) = x^3-1
===========================================================
Explanation:
Let's try choice A to see if it works or not
G(x) = (x+4)^3
G( F(x) ) = ( F(x)+4 ) ^3 .... replace every x with F(x)
G( F(x) ) = ( x-1+4 ) ^3 .... plug in F(x) = x-1
G( F(x) ) = (x+3)^3
This isn't the same as (x+4)^3 - 1. You can confirm this with a graph or a table of values. We cross choice A off the list.
------------
Let's try choice B
G(x) = x+4
G( F(x) ) = F(x)+4
G( F(x) ) = x^3-1 + 4
G( F(x) ) = x^3 + 3
Similar to choice A, this isn't the same as (x+4)^3-1. We can cross this off the list as well.
--------------
Now choice C
G(x) = x^3 - 1
G( F(x) ) = ( F(x) )^3 - 1
G( F(x) ) = (x+4)^3 - 1
We found the final answer.
anyone know the answer?
Answer:
B
Ive had this before
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
What is the area for the circle?
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
Answers:
Domain is (-4, 3]Range is (-5, 5]=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
Hello,
Step-by-step explanation:
Domain(f)= ]-4;3]={x€R | -4<x≤3}
Rang(f)=]-5;5]={y€R | -5< y ≤5}
Write the fraction or mixed number as a decimal.
In ΔRST, m∠R = 92° and m∠S = 71°. Which list has the sides of ΔRST in order from shortest to longest?
Answer:
RS, RT, ST
Step-by-step explanation:
We require the third angle in the triangle
∠ T = 180° - (92 + 71)° = 180° - 163° = 17°
The shortest side is opposite the smallest angle
∠ T = 17° → opposite side RS
The longest side is opposite the largest angle
∠ R = 92° → opposite side ST
Then sides from shortest to longest is
RS, RT, ST
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
Have fun all !!! This is my trash account. You all can have my points.
Answer:
Step-by-step explanation:
OK
Answer:
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Step-by-step explanation:
GIMME'
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
40) what is the area of a rectangular porch measuring 8 ft x 12/f
45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,
please make sure to answer both questions