Responder:
la solución (x, y, z) es (4.48, 4.86, -1.04)
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
What is the distance between -80 and 8?
Answer:
-88
Step-by-step explanation:
i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
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What is the sale price of a hardcover book with a markdown of 46% and original price of 29.00 what is the discount amount
Answer:
15.66
Step-by-step explanation:
First you find what is 46% of 29.00 which is 13.34
Next do 29-13.34 and that is 15.66
that is your answer hope I helped. :)
Which equation represents a line which is perpendicular to the line x – 2y = -14?
Answer:
any equation that have the slope of -2
A line which is perpendicular to the line x – 2y = -14 will have a slope of -2
What is a slope?The slope of a line is a measure of its steepness.
Given an equation of a line x – 2y = -14
We know that, the slope of a line perpendicular to another line will have a slope of its negative reciprocal.
Therefore, slope of the line perpendicular to the line x – 2y = -14 will be -2
Hence, equation of the line perpendicular to the line x – 2y = -14 will have a slope of -2
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ2
What is the volume of this figure?
16 cubic feet
216 cubic feet
36 cubic feet
108 cubic feet
Answer:
108 cubic feet
Step-by-step explanation:
Multipy Base, height, and width.=
Answer:
108 cubic feet
Step-by-step explanation:
Use the formula for finding the volume of a rectangular solid to solve the problem. V=lwh
The slope of the graph of y = x is
0
2
1
Ο Ο
-2
Answer:
I think the answer is 1.
If it is wrong sorry
Does this expression represent the sum 13.76 + 2.8?
fifteen and fifty-six hundredths
Answer:
False
Step-by-step explanation:
All even numbers
greater than two, can be written
as the sum of two prime numbers
Peter
Give three examples that show that Peter is correct.
Answer:
Step-by-step explanation:
3 + 5 = 8
7 + 11 = 18
11 + 19 = 30
i just started taking a math class today and i'm really rusty. my question is
simplify 28-(6+4)=(4-2)
SPORTS A coach uses a metric to determine the athletes that make the Varsity, Junior Varsity A, and Junior Varsity B teams. The total number of points possible on a skills test is 350. Athletes will make "Varsity" with at least 90% of the points. Athletes will make "Junior Varsity A" for 70-89% of the points. Athletes will make "Junior Varsity B" for 50-69% of the points. The table shows the number of points for each athlete that tried out.
Answer:
there is no picture. :)
Step-by-step explanation:
Answer:
Varsity = 12
Jr Varsity A = 10
Jr Varsity B = 11
Step-by-step explanation:
Varsity = at least 90% = 350 times 90% = 315
Anything 315-350
Jr Varsity A = 70-89%
350 times 70% = 245
350 times 89% = 311.5
Jr Varsity b = 50-69%
350 times 50% = 175
350 times 69% = 241.5
Sixteen times a number j is no less than -2
During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each “eighth of a mile they collect a green ribbon and each quarter of a mile they collect your blue ribbon which colors of ribbons will be collected at the three-quarter mile markerDo you know during a bike challenge writers have to collect furious colored ribbons each half mile they collect a red ribbon each eighth of a mile they collect the green ribbon and each quarter of a mile they collect a blue ribbon which colors of ribbons will be collected at the 3/4 mile markerBrian is driving 324 miles to visit some friends he wants to get there in six hours how many miles does he need to drive each hour
Step-by-step explanation:
ijsjnsns
jjwjwjwjhehwhwjwjwnwjwjwhhwhw
Use distributive property to solve the problem
3 (9 - 10a) - 3a
Answer:
27- 1 = 26
Step-by-step explanation:
What is the value of the expression below when n=5
Answer:
-6 (i can explain if its needed)
Step-by-step explanation:
[tex]2 - {n}^{2} + 3 \times 14 - {n}^{2} = \\ 2 - {n}^{2} + 42 - {n}^{2} = \\ 2 - 25 + 42 - 25 = - 6[/tex]
The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.
Please help I'm in the test.
Answer:
d(t)=8cos((pi/12)t)
Step-by-step explanation:
I think this is correct...
A=8 b/c 40-24=16, 16/2 = 8
B=2pi/per, 2pi/24, B = pi/12
help please .. im lost
Answer:
x=36
Step-by-step explanation:
2x+2x+x+4-2-2=180
Combine Like Terms
5x=180
Divide
x=36
Answer:
we know that if we add all of the angles it adds up to 180 degrees
Step-by-step explanation:
so 180=(x-2)+(2x+4)+(2x-2)
combine like terms
180=5x
divide by 5 to isolate variable
x=36
If you need to find for an angle apply the x value into the given equation
Help me please quick!
Answer:
28
Step-by-step explanation:
All angles together in the triangle are 180.
62+90+x=180
x=180-(90+62)
x=180-152
x=28
HELP ME PLZ ITS DUE SOON THX
Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose.
1. What is the vertical intercept? What does it mean in this situation?
2. What fraction of the medicine remained after one hour?
3. Write an equation that represents the amount of medicine, a, after t hours.
Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
this would be a BIG help i am almost done with the semester and i am not good at math really but its my fav teacher so i dont want to have to leave it blank for her In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation.
After an 8-week exercise program Grace lost 45 pounds. She now weighs 122 pounds. How much did Grace weigh before she started her exercise program?
Answer:
Grace weighed 167 pounds before she started her exercise program. Step-by-step explanation: Given, Weight lost by Grace = 45 pounds. Weight of Grace after exercise weeks = 122
Step-by-step explanation: sorry if im wrong
PLZ HELP ITS DUE TONIGHT
Because two pairs of angles are congruent, the triangles are similar by
the (select)
QR=
AA Criterion.
QR is similar to BC
Hope it helps.
Which of the following options 70
will give brainlist geometry
Given :
segment AB = segment ADsegment BC = segment DC∠B =∠Dsegment AC bisects ∠BADThis means that △ABC≅△ADC under the SAS congruence criterion because according to this criterion if two sides and one included angle is equal two triangles are congruent and since these two triangles fulfill these rules they are said to be congruent under the SAS congruence criterion. But they are also congruent under the ASA congruence criterion which states that if two angles and one included side is equal two triangles are congruent. Since △ABC and △ADC fulfill these rules too they can said to be congruent under the ASA congruence criterion.
A coat at a store is originally priced at $85. The store marks the price down to $68. To the nearest percent, what is the percent markdown of the coat ?
Answer:
20%
Step-by-step explanation:
This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.
Use the slope formula to determine the slope of the line containing the two points.
(-1, -7) and (-6, -3)
A. 10/7
B. -4/5
C. -1/2
D. -5/4
use the bar diagram to help you solve the equation 4x-12=16.
Answer:
x = 7
Step-by-step explanation:
4x−12=16
Step 1: Add 12 to both sides.
4x−12+12=16+12
4x=28
Step 2: Divide both sides by 4.
4x/4 = 28/4 = 7
x=7
Express answer in exact form.
A segment of a circle has a 120° arc and a chord of 8√3in. Find the area of the segment.
What is 10.5% of 28?
Answer:
The answer is 2.94
Step-by-step explanation:
10.5x28 divided by 100=2.94
Please help.
Of the 400 6th grade students at Aviara Oaks Middle School, the ratio of boys to girls is 2:3. Of the 360 students at Valley Middle School, the ratio of boys to girls is 3:5.
Which middle school has more boys attending their school?
How many girls attend AOMS?
How many girls attend VMS?
What is the ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School?
Answer:
Step-by-step explanation:
Aviara Oaks Middle School:
Total student = 400
Boys : girls = 2:3
Boys = 2x , girls = 3x
2x + 3x = 400
5x = 400
x = 400/5
x = 80
Number of boys = 2x = 2*80 = 160
Number of girls = 3x = 3 *80 = 240
VMS:
Total student = 360
Boys : girls = 3 : 5
Number of boys = 3x
Number of girls = 5x
3x + 5x = 360
8x = 360
x = 360/8
x = 45
Number of boys= 3x = 3 *45 = 135
Number of girls = 5x = 5 * 45 = 225
AOMS school has more boys attending their school.
Ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School = 240 : 225
= 48 : 45