Answer:
(2, 7, 1)
Step-by-step explanation:
We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z
3x + y - 2z = 11
4x - 2y + z = -5
x + 5y - 4z = 33
We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.
We can add 2 times the second row to the first row and 4 times the second row to the third row to get
11x - 3y = 1
4x - 2y + z = -5
17x -3y = 13
We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then
11x - 3y = 1
4x - 2y + z = -5
6x = 12
From the third row, we can gather that x= 2. We can then plug that into the first row to get
22 -3y = 1
subtract 22 from both sides
-3y = -21
divide both sides by -3
y = 7
We can then plug our x and y values into the second row to get
4(2) - 2(7) + z = -5
8 - 14 + z = -5
-6 + z = -5
add 6 to both sides
z = 1
Our answer is thus (2, 7, 1)
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
enlarge the triangle by a scale factor of -1.5 with centre of englargement (3,6)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
How to enlarge a triangle on a Cartesian plane by rigid transformation
In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of enlargementk - Scale factorP(x, y) - Original pointP'(x, y) - Resulting pointIf we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:
A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]
A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)
A'(x, y) = (3, 6) + (3, - 3)
A'(x, y) = (6, 3)
B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]
B'(x, y) = (3, 6) + (- 1.5) · (0, 2)
B'(x, y) = (3, 6) + (0, - 3)
B'(x, y) = (3, 3)
C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]
C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)
C'(x, y) = (3, 6) + (3, - 6)
C'(x, y) = (6, 0)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
Question: Solve for x.
Answer:
x = 24
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(14+18)* 18 = x^2
32*18 = x^2
576 = x^2
Take the square root of each side
sqrt(576) = sqrt(x^2)
24 =x
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?
Answer: 625 miles
Step-by-step explanation:
100-40=60
so she has 60% for her distance so lets munis 40 from it and add 250 to 250
250+250=500
60-40=20
20 is half of 40 so whats half of 250? its 125
so she drove 625 miles for her road trip 2 and 1/2 a day
Subtract: (-137° + 6) - (-43°) Your answer should be in simplest terms. Enter the correct answer.
Answer:
-9y⁹ + 6
Step-by-step explanation:
Subtracting a negative makes it positive
-13y⁹ + 6 + 4y⁹
combine like terms
-9y⁹ + 6
How many four-digit integers contain only the digits 1, 2, 3, 4, and 5, with the property that no two consecutive digits are the same?
Answer:
120
Step-by-step explanation:
we solve this question by using permutation because the order matters
nPr
5P4 = 120
Which sequences are geometric? Check all that apply.
Step-by-step explanation:
A geometric sequence is when we multiply one number by a set rate to obtain the next number.
For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric
Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric
Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric
Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric
Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric
Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.
Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric
What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
1 cm =5ft
2.7 cm =?
cross multiplying gives:
2.7 X 5= 13.5 ft
asma is drawing a picture of a tree.she drawss a 15m tree as 3cm in her drawing book. if a fruit acctualy hangs from branch 3 m from the ground how high must asma draw it to keep the proportion correct?
Answer:
0.6 cm
Step-by-step explanation:
she divided the the height of the tree 500, so the same factor has to be applied to everything else
3m * 1/500 = 0.6cm
solve using the quadratic formula 2x^2+9x=5
Answer:
x = -1/2, x = -5 OR x = -0.5 and x = -4
Step-by-step explanation:
I’ll just put a picture, I can’t fully explain digitally. ;D
HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY
The Answer is:
B) -3/2
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
Find the circumference of a circle with diameter,
d
= 3.2m.
Give your answer rounded to 2 DP.
Answer:
[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]
Answer:
circumference=10.05 m
Step-by-step explanation:
radius =diameter/2
=3.2/2
=1.6 m
circumference=2πr
=2*3.14*1.6
=10.048 m
=10.05 m
solve for x round to the nearest tenth if necessary.
Answer:
20.4
Step-by-step explanation:
use trig relations with the angle 74˚
the sides we know are the hyp (74) and the adj side to 74˚ (x).
the trig function associated with hyp and adj is cos.
cos = adj/hyp.
cos 74˚ = x/74
0.27 = x/74
x = 20.39
x = 20.4
Answer:
20.4
Step-by-step explanation:
1. c = b · sin(C) / sin(B) = 20.39716
This is the equation to find x.
c = x
b = 74
C = ?
B = 90
2. C must be found. We know that A is 90 and B is 74.
3. 180 = 90 + 74 + C
According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.
4. 180 = 164 + C
You must do 180 - 164 which equals 16.
5. C = 16
This means that 16 is what C equals. You can finally plug in the equation with all the gathered information
c = x
b = 74
C = 16
B = 90
4. x = 74 · sin(16) / sin(90) =
You could use a calculator to find the answer.
5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.
Can someone tell me which one it is?
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
the discriminant is –16
hope this helps!
Somebody help i need to find the value of x and classify the sides and angles
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
which expression is equivalent to 1/2r + 8p - 3/4r -2p
A. 1/4r -6p
B. 1/4r +10p
C. 1/4r + 10p
D. 5/4r + 6p
Answer:
D.5/4r+6p
Step-by-step explanation:
hula kong hahha
Solve each equation. Show your work or explain your method. Each explanation is worth 2 points. A. 2(x - 3) = 14 b. 12 (x + 10) = 24 c. 1/6(x + 6) = 11
Answer:
A. 3x+2=14. 3×+2-2=14-2. 3×=12
B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120
C. 12×= -96. 12×/12. -95/12 x= -8
HELP ME PLEASE ASAP I HAVE TO GET THIS DONE TODAY OR ILL FAIL
Answer:
(1,-8)
Step-by-step explanation:
this is be because a rectangle is parralel so opposite ends will have equal sides, if you were to graph this, there would be a missing point in the spot (1,-8).
Answer:
(1,-8)
Step-by-step explanation:
Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).
What are the ordered pairs for all of the points
Answer:
A ( 3 , 4 )
B ( -3 , 2 )
C ( -2 , -4 )
D ( 6 , -3 )
E ( 0 , 0 )
Step-by-step explanation:
remember that x values go first and then y values ( x , y )
Can pls someone help I need help
What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Answer:
7.69
Step-by-step explanation:
13.99 x 0.45 = 6.2955 or 6.3
13.99 - 6.3 = 7.69
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
(04.02 MC)
4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?
Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
In trapezoid KLMN, solve for x ,then use that value to solve for
Answer:
Same side angles are supplementary
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
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hope it helps...
have a grat day