Answer:
13
Step-by-step explanation:
Are the 2 lines:
y = 4x - 3 and y = (1/4)x +3
Parallel, Perpendicular, or Neither?
Please let me know an explanation would be great I hate my math teach but thank you!
Answer:
Step-by-step explanation:
Both equations are in slope-intercept form, so the coefficient of x is the slope of the line.
y = 4x-3
slope = 4
y = (¼)x + 3
slope = ¼
If the slope are the same, the lines are parallel. If the product of the slopes = -1, the lines are perpendicular.
4×¼ = 1
The lines are neither parallel nor perpendicular.
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Learn more about the elementary row operation here:
https://brainly.com/question/17875294
#SPJ2
Does 5, square root of 15, 5 make a right triangle?
Answer:
No
Step-by-step explanation:
This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b
Hope this helped
The hypotenuse of a right triangle measures 20 cm and one of its
legs measures 10 cm. Find the measure of the other leg. If
necessary, round to the nearest tenth.
I’m pretty sure 17.3 because of you do a^2+b^2=c^2 you get a^2= 10 square root 3 and that in a decimal is 17.3205
Answer:
8
Step-by-step explanation:
20 POINTS / I need this ASAP Solve the Problem
Answer:
n= 7.5
Step-by-step explanation:
So to get the answer to this equation, we have to create different equivalent equations, in the base equation so that in the end all bases are equivalent to solve for n.
Exact Form:
7/2
Decimal Form:
3.5
Mixed Number Form:
3 1/2
Hope this was helpful! Have a great day! :)
Answer:
n = 4
Step-by-step explanation:
Properties of Exponents
We are required to solve the following equation:
[tex]\displaystyle 7^7\cdot 7^5=\frac{(7^n)^4}{7^4}[/tex]
Operating:
[tex]\displaystyle 7^{7+5}=\frac{7^{4n}}{7^4}[/tex]
[tex]\displaystyle 7^{12}=7^{4n-4}[/tex]
Equating the exponents:
4n - 4 = 12
Adding 4:
4n = 16
Dividing by 4:
n = 4
2) In a geometric sequence, a3 = 128, a4 = 64, and a5 = 32. What is a10?
PLZ HURRY UP NO TIME
Answer:
1
Step-by-step explanation:
As the value of a goes up, the numbers are being divided by 2.
a3 = 128
a4 = 64
a5 = 32
a6 = 16
a7 = 8
a8 = 4
a9 = 2
a10 = 1
The school store has 2400 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the the number of pencils in stock is 600.
Answer:
90 days until the next restock
Step-by-step explanation:
2400 - 600 = 1800
1800/20 = 90 days
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
Simplify the following expression completely:( x 6 ) 7
Answer:
42x
Step-by-step explanation:
Beth has $525 in savings. She
sometimes withdraws money to buy CDs
or books.
Write an equation that will help Beth
determine how much money she has in
savings at any given time.
Let's let
p = money spent on CDs or books
s = total savings
Answer: s = 525 - p
Step-by-step explanation:
Plato/Edmentum
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
Find x
16 ft
х
12 ft
Answer:
x = 20
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
x = [tex]\sqrt{400}[/tex] = 20
simplificar 55-56 entre 4×2+82×3
Answer:
Step-by-step explanation:
this awnser is 73 92 837
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
What is the arithmetic of the following numbers? 3, 5, 6, 7, 9, 6, 8
Answer: sorry pressed the wrong button
Step-by-step explanation:
✅Mean:
➡️Sum of total numbers/Total numbers
3+5+6+7+9+6+8 / 7
44 / 7 = 6.285
MARK ME AS BRAINLIST IF THE ABOVE ANSWER HELPS U♥️♥️♥️....
Please i need someone help.
Answer: I can help :)
Step-by-step explanation:
(3x² + xy – 2y²)(x + 2y)
Answer:
3x^3+7x^2y−4y^3
Step-by-step explanation:
(3x^2+xy+−2y^2)(x+2y)
=(3x^2)(x)+(3x^2)(2y)+(xy)(x)+(xy)(2y)+(−2y^2)(x)+(−2y^2)(2y)
=3x^3+6x^2y+x2y+2xy^−2xy^2−4y^3
=3x^3+7x^2y−4y^3
Devide. Reduce to lowest terms 3/8 1/7
PLEASE IVE POSTED THIS FOUR TIMES CAN SOMEONE PLEASE HELP ME WRITE AN EQUATION FOR THIS! I GIVE BRAINLIST!
Answer:
y= -2/3x-3
Step-by-step explanation:
i need help with dis oki
Answer:
15 mph
Step-by-step explanation:
You need to find how much each side of the table is changing each time and change that into a fraction. In this example, the change in time is .5 hours. Repeat with the other side to get 12.5 miles. Next you change it into a fraction with the distance over the time to get 12.5/.5. Type this into the calculator to get the answer which is 15 mph.
Write the equation of the ellipse with the endpoints of the major axis (-11, 0) and (11, 0) and minor axis (0, -3) and (0, 3)
I don't particularly care about the answer, more judt the explanation of how I'm supposed to find it. thank you!!
Answer:
x/121 + y/9 = 1
Step-by-step explanation:
The major axis is 22 units long, in a horizontal line, and the center is in the middle of the major axis line segment. The center is at the origin. The distance of the whole axis is 22, and its endpoints are 11 units from the center. The axis length is 2a = 22, so a = 11.
Becasue the major axis is horizontal, this ellipse is wider than it is tall.
The minor axis is perpendicular to the major axis and it always shoter (hence the name 'minor'). In this case, it is vertical, is 6 units long, so we say that 6 = 2b, and b = 3.
The ellipse center is (h,k). But in this case, the center is the origin, so h = 0 and k = 0.
The equation for a horizontal ellipse is (x-h)²/a² + (y-k)²/b² = 1, a>b
(x-0)²/11² + (y-0)²/3² = 1
*** x/121 + y/9 = 1
The equation for a vertical ellipse is (x-h)²/b² + (y-k)²/a² = 1, a>b
If the bigger denominator is under 'x' term the ellipse is horizontal, with the longer axis being horizontal.
If the bigger denominator is under the 'y' term, the ellipse is vertical, with the longer axis being vertical.
I'm including 2 files.
The 'brainly ellipse' is form this particular problem.
The 'General Ellipse Info' is a collection of my personal math notes on elleipses.
Hope this helps.
*** Let me try the 2nd attachment again as a PDF. You may not have MS Office 10.
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
What is the price of a can of soda if a case of 24 is 8.99
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37
brainliest pls help (dont have to show work)
A flood a creek's water level changes by −4 7/10 feet in 2 hours. What is the average change in the creek's water level per hour?
Answer:
-2.35
Step-by-step explanation:
The distance Jane jogs in 20 minutes is 8 miles. At this rate, how many miles will he run in 60 minutes?
Answer: the answer is 24 miles
Step-by-step explanation:
Answer:
24 miles
Step-by-step explanation:
the ratio is 20:8
If we wanna find the ratio for 60 mins, you have to multiply both sides by three.
Then, we get 20/8 = 60/24
So, Jane jogged 24 miles in sixty minutes
For which inequality is .r = 5 a solution?
А х<2
в. х> 9
ОО
) с. х< 18
OD. x> 42
Answer:
The answer is C x<18 indirectly saying 5<18 the other options has no match for it
a number divided by 3 minus 5 is less than 10
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections
Answer:
do it urself sorry i letterely dont know
Step-by-step explanation:
10 marbles what is the probability of drawing 2 blue marbles if the first marble is placed back in the bag before the second draw
Complete Question:
There are 10 marbles. What is the probability of drawing 2 blue marbles if the first marble is NOT placed back in the bag before the second draw.
2 yellow, 3 pink, 5 blue
Answer:
[tex]P(B_1\ and\ B_2) = \frac{2}{9}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 5[/tex]
[tex]Pink = 3[/tex]
[tex]Yellow = 2[/tex]
[tex]Total = 10[/tex]
When the first blue marble is selected, the probability is:
[tex]P(B_1) = \frac{n(Blue)}{Total}[/tex]
[tex]P(B_1) = \frac{5}{10}[/tex]
Since the first marble is not returned, we have the following marbles left
[tex]Blue = 4[/tex]
[tex]Pink = 3[/tex]
[tex]Yellow = 2[/tex]
[tex]Total = 9[/tex]
The probability of picking a second blue marble is:
[tex]P(B_2) = \frac{n(Blue)}{Total}[/tex]
[tex]P(B_1) = \frac{4}{9}[/tex]
So, the required probability is:
[tex]P(B_1\ and\ B_2) = P(B_1) * P(B_2)[/tex]
[tex]P(B_1\ and\ B_2) = \frac{5}{10} * \frac{4}{9}[/tex]
[tex]P(B_1\ and\ B_2) = \frac{5*4}{10*9}[/tex]
[tex]P(B_1\ and\ B_2) = \frac{20}{90}[/tex]
[tex]P(B_1\ and\ B_2) = \frac{2}{9}[/tex]