Consider the following system of equations.
a+b-4c=1
a+4b+c=12
a-3b-2c=-5
Show that (3,2,1) is a solution to the system

Answers

Answer 1

Answer:

Step-by-step explanation:

a+b-4c-a-4b-c=1-12, -3b-5c=-11

a+4b+c-a+3b+2c=12+5, 7b+3c=17

3(-3b-5c)+5(7b+3c)=3(-11)+5(17)

-9b-15c+35b+15c=-33+85

26b=52

b=2, making 7b+3c=17 become

14+3c=17

3c=3

c=1, making a+b-4c=1 become

a+2-4(1)=1

a-2=1

a=3

(a,b,c)=(3,2,1)


Related Questions

Use the Distributive Property to correctly rewrite or simplify the expression:

21k+13k+9k

Answers

Answer:

21k+9k+13, and simplified into 43k.

Step-by-step explanation:

The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)

21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.

Answer:

43k

Step-by-step explanation:

what is the answer to 82.25-4.25b

Answers

Answer: Look

Step-by-step explanation:

What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.

Answers

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)

I
216
Solve the linear equation.
9x - 9 = 5x + 19
x=-7
x = 7
x = 5
x = 2


Answers

Answer:

x=7

Step-by-step explanation:

9x-9=5x+19

Combine like terms

9x-5x=19+9

4x=19+9

4x=28

x=7

A cereal company packages there granola in cylindrical containers that have a diameter of 20 cm and a height of 17.4 cm. Approximately how much granola will a container hold?

A.348 cm^3

B.5,464 cm^3

C.174 cm^3

D.3,140 cm^3

Answers

Answer:

D

Step-by-step explanation:

Preguntas e interpretación de resultados:
2
3 registrar datos en la tabla
Tipo de liquido Masa (g)
Agua
Vinagre
agua
vinagre
Acale
Botella plastica coh:
llenar las botellas con 250mL de líquido
medir la masa de cada botella con liquido
Aceite

Answers

Answer:

No le entiendo

Step-by-step explanation:

A ball is thrown straight up into the air. The height of the ball t seconds after it is thrown is modeled by the equation h(t) = 48t – 16t2. After how many seconds will the ball hit the ground?
A. 1

B. 1.5

C. 3

D. 3.5

Answers

Answer:

b

Step-by-step explanation:

gravity

Parker ran 600 meters, 7 kilometers, and 1,000 centimeters.

How many meters did he run all together?

Answers

Answer:

7610 m

Step-by-step explanation:

600m = 600m

7km = 7000m

1000cm = 10m

The required distance = 600 + 7000 + 10 = 7610 m

I WILL GIVE MAX POINTS IF YOU WRITE STEPS AND SOLVE PLZZZZZZ

Answers

Answer:

Step-by-step explanation:

so we need two even intergeters that add to 70  when we multiply the bigger by 2 and add the smaller to that soooo

70= 2*y + x

but we can express x in terms of y b/c  it's a consecutive even integer soo

(b/c   x+2 = y, then x = y -2)

70= 2*y  + (y-2)  

70 = 2y + y - 2

72 = 3y

24 = y   :)  nice the bigger is 24 so the smaller is 22

70 = 2*24 + 22

70 = 48 + 22

70 = 70    nice !  

bigger = 24

smaller = 22  

:)

Answer:

bigger = 24

smaller = 22  

Step-by-step explanation:

B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter

Answers

Answer:

Look up Trigonometry Calculator and Put in the sides it helps a lot

Step-by-step explanation:

A train is traveling at a constant rate of 70 miles per hour.
How long will it take the train to travel 175 miles?

Answers

Answer:

2.5 hours

Step-by-step explanation:

Time is distance divided by speed.

Therefore, you'd have to do 175/70

175/70 = 2.5

A median of a triangle may fall outside the triangle.

Answers

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

help me
please and i give you points

Answers

Answer:

30-100

28-100

25-100

7-100

Step-by-step explanation:

It's hard to explain but I try

part in this means how many seeds we can place in those parts

and the whole it he whole amount of the part

hope that make sense

help me this is so hard for me

Answers

Answer: it’s the second

Step-by-step explanation:

6. Colocar V (verdadero) o F (falso) según corresponda.
a) El anterior de -8 es -7.
b) El siguiente de - 10 es - 9.
c) 1 y - 1 son números consecutivos.
d) El opuesto de 21 es 12.
e) 3 es 5 unidades mayor que - 2.
f) -4 es 3 unidades menor que - 1.​

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

is 9.75 a rational number?

Answers

Answer:

yes, 9.75 is a rational number.

please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.​

Answers

Answer:

Step-by-step explanation:

(9x-22) + 61 + (5x-7) + 34 = 360

14x = 294

x = 21°

:::::

arc GK = 9x-22 = 167°

:::::

arc HJ = 5x-7 = 98°

:::::

arc HGK = arc GK + 61 + 34 = 262°

:::::

arc GKJ = arc GK + 34 = 201‡

Angles in a circle add up to 360 degrees.

[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]

The given parameters are:

[tex]\mathbf{GH = 61}[/tex]

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{JK = 34}[/tex]

[tex]\mathbf{KG = 9x - 22}[/tex]

The sum of angles in a circle is 360 degrees.

So, we have:

[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]

So, we have:

[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]

[tex]\mathbf{14x = 294}[/tex]

Divide both sides by 14

[tex]\mathbf{x = 21}[/tex]

GK is calculated as:

[tex]\mathbf{GK = 9x - 22}[/tex]

[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]

[tex]\mathbf{GK = 167}[/tex]

HJ is calculated as:

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]

[tex]\mathbf{HJ = 98}[/tex]

HGJ is calculated as:

[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]

[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]

[tex]\mathbf{HGJ = 262}[/tex]

GKJ is calculated as:

[tex]\mathbf{GKJ =GK + KJ}[/tex]

[tex]\mathbf{GKJ = 167 + 34}[/tex]

[tex]\mathbf{GKJ = 201}[/tex]

Read more about angles in a circle at:

https://brainly.com/question/12260532

10 PONITS

Can someone help me

Answers

Answer:

1st step

Step-by-step explanation:

7/10 is greater than 1/2

Answer:

Step 1

Step-by-step explanation:

Assume that customers arriving at a DMV are requested to fill out an optional survey. Assume that one of the survey questions asks customers to rate the quality of the service provided at the DMV. Customers typically assess service quality on different dimensions. We highlighted some of these dimensions in BA270. These highlighted dimensions are:

Answers

Answer:

b. Timeliness, Assurance, Needs, Reliability and Empathy.

Step-by-step explanation:

The customer rating is necessary for a business to improve its performance. A company will be able to improve its customer service based on customer reviews and feedback. The feedback of the customers is important in terms of service provision whether they rate the company based on responsiveness to the queries, timeliness of query resolution and other similar criteria.

Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft

Answers

Answer:

b. 42

Step-by-step explanation:

Your trying to find the diameter since radius is r

diameter is always double of radius

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.

Answers

Answer:

111.4

Step-by-step explanation:

trust

A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”

In dollars and cents, the cost of a single roll of wrapping paper costs $
.

Answers

Answer:

3.00

Step-by-step explanation:

One bow and and 1 roll of wrapping paper  cost 6.00$

so the roll by itself would cost 6.00$

what is the formulae for the perimeter of a rhombus​

Answers

Answer:

Add all sides together

Step-by-step explanation:

That is the formula for perimeter in ANY situation

Answer:

P=4a

Step-by-step explanation:

3^5 + 6^3 evaluate the expression

Answers

Answer:

459

Step-by-step explanation:

because 3^5 is 243 and 6^3 is 216 then add up 243+216=459

what is 5+5
drop i.n.s.t.a for points

Answers

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Need help with this question please !!!

Answers

Answer: 27

Step-by-step explanation:

Find the surface area of the solid below. Round to the nearest tenth if needed.

Answers

Answer:

1350

Step-by-step explanation:

Answer:

2400 ft²

Step-by-step explanation:

Base = 30x30=900

Next, we have to find the height of the triangles.

15²+20²=c²

225+400=c²

625=c²

c=√625

c=25

Now we can find the surface area of all 4 triangles.

4(1/2)(30)(25)=1500

900+1500= 2400 ft²

workers are loading boxes onto a truck. So far, they have loaded 48 boves onto the truck. Acconding to their inventory, they still need to load 96% of the boxes on the truck. How many boxes do they need to load on the truck?

Answers

Answer:

1200 total boxes,

1152 more boxes need to be loaded

HELP 20 POINTS IF YOU HELP ME HURRY!!!

Which shows the correct dimensions of the rectangle in both scales?

O Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft

O Scale 1: 56 ft by 25 ft Scale 2: 35 ft by 40 ft

O Scale 1:35 ft by 25 ft; Scale 2: 56 ft by 40 ft

O Scale 1.56 ft by 40 ft: Scale 2: 35 ft by 25 ft

Answers

The answer is the third choice: scale 1: 35ft by 25ft; scale 2: 56ft by 40 ft

Answer:

it’s c:)

Step-by-step explanation:

{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)

Answers

{362- {6x3+(48/2) x2]}+3(9+4)

{362- {6x3+24 x2]}+3(9+4)

{362- 66+3(9+4)

{362- 66+3(9+4)

{296+3(13)}

(296+39)

335

hope this help you

have a good day

Answer:

290

Step-by-step explanation:

Solving with one operation at each step:

{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) ={362 – [63 + 24 x 2]} + 3(9 +4) =[362 – (63 + 48)] + 3(9 +4) =(362 – 111) + 3(9 +4) = 251 + 3(13) = 251 + 39 =290
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