For what value of k will the following linear system have infinitely many solutions?

2a+b=-6, 6a+kb=-18

Answers

Answer 1

There are infinitely many solutions to a linear equation with the same variable term on both sides of the equation.

We have to find the coefficient of "b"

from first equation:

2a + b = -6b = -6 - 2a

from second equation:

6a + kb = -18b = (-18 - 6a)/k

solve them simultaneously:

(-18 - 6a)/k = -6 - 2a(-18 - 6a)/(-6 - 2a) = kk = 3

Related Questions

Gina's bedroom floor is in the shape of a rectangle. It is 10 feet long and 9 feet wide. What is the area of Gina's floor?

Answers

Answer:

90 ft sq

Step-by-step explanation:

L*W is the formula so 9 times 10 is 90.

90 feet long because you have to multiply the both sides so you do 9x10=90

I WILL GIVE BRAINLIEST

Answers

Answer:

y = -5x - 3

Step-by-step explanation:

To answer this the slope must be clculated first

slope equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)

we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.

the next odered pair is 2 so x2 = -3 and y2 = 0.

With this information layed out we can solve:

[tex]\frac{0-10}{-3-(-5)}[/tex]

0 - 10 = -10

-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive

[tex]\frac{-10}{2}[/tex] = -5

the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:

y = mx+b

There are other equations that can be used for a line but with the info given this equation best suits the data.

m = slope

y and x = are the ordered pair you can input into the equation to slove

b = the y intercept

So the equation would be:

y = -5x - 3

PLSSSSSSSSSSHELPPPPPPPPPP

Answers

Answer:

Equation: 28-F = N

then if he folded 22 it would be 6

Step-by-step explanation:

Im pretty sure thats right

Hope this helpsss!<3

Answer:

N = 28 - F     N = 6

Step-by-step explanation:

N = 28 - F

F = 22

28 - 22 = 6

N = 6

A(t)=3(2)ᵗ and W(t)=30t-70 which is smaller, A(4) or W(4)

Answers

A(4) is the smaller

Step-by-step explanation:

A(4) = 3 (2^4) = 48

W (4) = 30(4) - 70 = 50

I can't figure this out

Answers

For finding the surface area of the entire cylinder, we need to use the proper formula which is [tex]SA = 2 \pi r h + 2 \pi r^2[/tex]. Since the problem already gives us the radius and height, we can easily plug in the numbers. The equation should now look like this: [tex]SA = 2 * 3.14*3*6 +2*3.14*3^2[/tex].

After multiplying and adding all the numbers in the formula, we get a surface area of 169.56 yards squared.

For the lateral surface area, we can just subtract the [tex]2 \pi r^2[/tex] part from the formula.

[tex]SA = 2 * 3.14* 3 *6[/tex], which is 113.04 yards squared for the lateral surface area.

It’s asking for total and lateral surface area.
Total = 2pi x r x h + 2pi x r to the power of 2
Lateral = 2pi x r x h
For total it would be 2 x pi x 3 x 6 + 2 x pi x 3 to the power of 2 ( pi = 3.14)
For lateral it would be 2 x pi x 3 x 6
Just put that in the calculator and you’ll get your answer
Btw r = radius and radios is the half of something so if you see the line on the base go all the way you know it’s the diameter and not the radius so you would have to divide it by 2 to get your radius.
Total = 131.88
Lateral = 113.04

A skyscraper in downtown Los Angeles is 7.9 x 10 feet tall. How tall is the building?

Answers

Answer: I'm pretty sure the answer is 79 hope this helps

Step-by-step explanation:

79 feet. you just multiply 7.9*10

A rectangular prism has a volume of 180 cubic inches and a height of 5 inches. What is a possible length and width, in inches, of the prism? Show your work in the space below.

Answers

Answer:

length - 9 in   width - 4 in

Answer:

See below ~

Step-by-step explanation:

Given :

Volume = 180 in³Height = 5 inches

Solving :

Volume = Base Area x Height180 = 5 x Base AreaBase Area = 36 in²

Possible Dimensions

6 in x 6 in9 in x 4 in18 in x 2 in36 in x 1 in

Just choose any of them for your convenience.

Chang runs each lap in 8 minutes. He will run at least 11 laps today. What are the possible numbers of minutes he will run today?

Answers

if he runs 1 lap in 8 minutes. u will have to multiply 8 (the minutes) by 11 (the number of laps he does) to get ur answer

8•11= 88 minutes
8x11=88
Chang is going to run 88 minutes today

4. HELP ASAP!!! GIVING BRAINLIEST!!!
(Photo Below) Find each missing measure.

Answers

Answer:

m1=51

m2 =39

m3=90

m4=51

m5=17

m6=129

Step-by-step explanation:

m1=51

m2 =39

m3=90

m4=51

m5=17

m6=129

The total of all angles in a triangle is 180.

For angle 1 we are given an angle of 39 and the other of 90 so the angle 1 is 51.

Also we are provided angle 1 plus 2 is 90 so the angle 2 is 90-51 which is 39.

Angle 4 can be found by 180-90- 39which is 51.

If 3 is 180- 39-51= 90

Angle 5 can be found by 180-90-34-39 =17

Angle 6 is 180-35-17=129

Pls help with number 3

Answers

Answer:

about 17

Step-by-step explanation:

side 1 =4

side 2=4

side 3=4

one of the slanted lines is about equal to 2 and the other is also about 2

but i rounded it to 17 because a slanted line is longer than one that is straight across

Help solve pls
(Estimate the perimeter of the figures)

Answers

Answer:

23

Step-by-step explanation:

WILL CHOOSE BRAINLIEST! Find the measure of ∠BCX

Answers

Answer:

143 degrees

Step-by-step explanation:

If you were taught this rule, then you would know that the two far interior angles of a triangle are equal to the one on the outside, i dont know its name, but i know it works, so all you have to do is add 90+53=143 degrees for your answer.

angle B=90
90+53 (angle 53) = 143
all triangles angles always add up to 180
180-143=37
angle C=37
180-37=143
Answer is A

42 points I answered the seconed one please help !!!!!!



the options to put in the categories are impossible, equally likely, certain, unlikely, likely

Answers

Answer:

given below

Step-by-step explanation:

option 1 : equally likely

option 2 : impossible

option 3: certain

option 4 : unlikely

option 5 : likely

1 equally likely 2 impossible 3 certain 4 unlikely 5 likely

Can you answer the question in the screen shot? Thanks!

Another question about this one:
For every 3 circles there are _ : _ total shapes, therefore the simplified ratio of circles to total shapes is _ : _

Answers

For every 3 circles there are 8 in total
Answer: 3:8
screenshot: answer: 9:20

another question: answer: for every 3 circles, they are 3:8 total shapes

what is the probability of 0.25
Neither likely? Or nor unlikely?

Answers

Answer:

around 1/2

Step-by-step explanation:

A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

your answer to this question would be neither likely hope this helped

Use the simple interest formula (I=PxRxT and Account= P+I) to find the interest joe will earn if he deposits $2500 in an account that makes 4.5% simple interest annually for 6 years. what will be his account balance at the end of 6 years?

Answers

Answer:

$3175

Step-by-step explanation:

Substitute the equation with the numbers.

Interest = P x R x T

Interest = 2500 x 0.045 x 6

I = 675

Add the interest amount with the original amount.

675 + 2500 = 3175

I hope this helps and please mark me as brainliest!

Step-by-step explanation:

Substitute the equation with the numbers.
 Interest = P x R x T x Interest = 2500 x 0.045 x 6I = 675
Now add the interest amount(675)with the original(2500)amount:

 
675 + 2500 = $3175


Answer to the question:


$3175



His account balance at the end of 6 years is $3175.



I hope this is helpful to you!

Use the Pythagorean theorem to find the value of b²

Answers

So what is the Pythagorean Theorem:

  ⇒ it states the sum of both leg's lengths squared is equal to

      ⇒  hypotenuse's length squared

  (look at the image attached for a better explanation)

To find out [tex]b^2[/tex], let's look to the Pythagorean equation to see what we are missing:

      [tex]a^2 + b^2 = c^2\\(10^2) + b^2 = 325\\b^2 = 325 - 10^2\\b^2 = 325 - 100 = 225\\b^2 = 225[/tex]

a = 10 ⇒ [tex]a^2[/tex] = 100[tex]c^2 = 325[/tex]

So b^2 = 225 ⇒ Choice B

Hope that helps!

     

Please help me, I don't know the answer
WILL MARK BRANLIEST IF CORRECT :)

Answers

Answer:

the answer is C ........

Answer:

the answer is C

Step-by-step explanation:

Solve for Y fs X=7.

Y≤1/14x-3/2

Answers

Answer:

Y<=-1

Step-by-step explanation:

So to solve this problem, just plug in x for 7
Y<=1/14(7)-3/2
simplify
y<=7/14-3/2
simplify
y<=1/2-3/2
simplify
y<=-1

Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires 1/5 pound of bolts, how many kitchen can she repair? Joshua solves the problem by finding 8 ÷ 1/5 = 40. Melanie solves the problem by finding 8 × 5 = 40. Use the drop-down menus to explain why Joshua and Melanie are both correct.


Choose... a whole number by a unit fraction is the same as multiplying a whole number by the Choose... of the unit fraction.

CHOOSE THING STUFF
1st choose: MULTIPLYING or DIVIDING
2nd choose: NUMBERATOR or DEMOMINATOR

Answers

Answer:

40

Step-by-step explanation:

8 divided by 1/5 is the same thing as 8 multiplied by 5

I WILL CHOOSE BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

because angles a is diagonally opposite to 162, they are equal. And as b and 162 are alternate angles, they will also be equal

Answer:

C. <A & <B

Explanation:

If lines m and n are parallel, then you can use the proofs of vertical angles are congruent and alternate interior angles are congruent to prove that <A and <B are equal to 162 degrees; the reason that <C and <D are not congruent, is because they would be too small to fit 162 degrees, they would be the opposite of 162 which is 180-162=18 degrees.

Paul ate 7/9 of 1/6 of his birthday cake. Did Paul eat more or less than 7/9 of the cake? Did he eat more or less than 1/6 of the cake? Explain your answer WITHOUT finding the exact product in the space below.

Answers

Answer:

See below ↓↓

Step-by-step explanation:

He ate less than 7/9 of the cakeHe ate less than 1/6 of the cake

To understand, I'll explain in simple words.

First look at the part where it says 1/6 of his birthday cakeThat means he can only eat less than or equal to 1/6 of the cake7/9 > 1/6, so it's definitely less than 7/9Now, it says he ate 7/9 of that 1/6 slice of the cakeThe 1/6 slice can be represented as a whole (9/9) and he only ate 7 parts of that small fractionTherefore, he ate less than 1/6 of the cakeI hope it's clear and feel free to ask if you're still confused

The vertices of triangle ABC are A(-2, 3), B)4, 3), and C(-2, -4). The triangle is dilated with a scale factor of 3. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

67 u

Step-by-step explanation:

The perimeter of current triangle times three rounded to nearest whole number.

x=6
is a solution to the inequality x−5≤ 10

True or False?

Answers

Answer:

[tex]\boxed{\sf{FALSE}}[/tex][tex]\boxed{\sf{x\leq 15}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

x-5≤10

First, add by 5 from both sides.

[tex]\sf{x-5+5\leq10+5}[/tex]

Solve.

Add the numbers from left to right.

[tex]\sf{10+5=15}[/tex]

[tex]\Longrightarrow: \boxed{\sf{x\leq 15}}[/tex]

Therefore, the solution is x≤15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

hello!

Let's solve this inequality.

First, we should add 5 to both sides:-

x≤10+5

x≤15

Remember, the "≤" sign means "less than or equal to"

So is x=6 a solution to the inequality x≤15? Will this solution make the inequality true?

Yes.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

x=25 what is the value of 5x-5
(Please explain it with proces)

Thank you ​

Answers

Answer:

120

Step-by-step explanation:

5x-5

Let x = 25

Substitute into the expression

5(25) - 5

Multiply

125 -5

Subtract 120

Answer:

120

Step-by-step explanation:

If X = 25

where you see X , you put 25 there

5X - 5

5(25) - 5

125 - 5

= 120

Which step was an error made?

Answers

Answer:

step 1

Step-by-step explanation

no u

Answer: Step 1 is incorrect.

Step-by-step explanation: This is because in the inital equation,

7x + 9 - 2x = 2(x + 15),

there is a distributive property error because they did not multiply both terms in the parenthesis by 2.

how to divide 2 by 18?
Please help, brainliest! Im not kidding, im only in like 1st grade ;(

Answers

Answer

2/18 = 9

Step-by-step explanation:

Answer:

It’s 9 and it’s okay you are just starting don’t worry !

Step-by-step explanation:

Hope this helps!!

HAVE AN AMAZING DAY

3. HELP ASAP!!! GIVING BRAINLIEST!!!

Find each missing measure.

Answers

Answer:

m1=35

m2=77

m3=49

m4=77

m5=62

m6=28

Step-by-step explanation:

The required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°

What are angles?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

Given is a figure, we need to find the marked angles from it,

∠ 2 + 103° = 180° [linear pair]

∠ 2 = 77°

∠ 1 + ∠ 2 + 68° = 180° [angle sum property of a triangle]

∠ 1 = 35°

∠ 4 = ∠ 2 [vertically opposite angles]

∠ 4 = 77°

Now,

∠ 3 + 41° = 90° [angles in a right triangle]

∠ 3 = 49°

∠ 6 = 180° - (∠ 3+103°)

∠ 6 = 28°

∠ 5 = 90°-∠ 6

∠ 5 = 62°

Hence, the required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°

Learn more about angles, click;

https://brainly.com/question/30147425

#SPJ7

A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane’s speed in miles per hour? At this rate, how many miles can it travel in 10 hours?

Answers

The planes speed would be 560 miles/hour.
If you divide 3360 by 6 = 560
In 10 hours the plane would travel 5,600 miles.
560 x 10 = 5600
First to find the planes speed in miles per hour,
Divide 3360 by 6 which gives you 560.
Then, to find for 10 hours, you would multiply 560 by 10 which gives you 5600.
The plane can travel 5600 miles in 10 hours.

(06.02 LC) Which of these is the algebraic expression for "3 times the sum of 2 and y?3(2 + y) 3 ⋅ 2 + y 2 + 3 ⋅ y 2(3 + y)

Answers

Answer:

5(2+y)

Step-by-step explanation:

The sum of 2 and y = 2+y
So,

5 times the sum of 2 and y(2 + y)  = 5 × (2+y) = 5(2+y)

The answer is 5(2+y)

Answer:

A. 3(2 + y)

Step-by-step explanation:

It's A. 3(2 + y) because when an equation is in parentheses then you have to do it first. So you would work out 2 + y and then multiply it by 3.

Hope I helped!!

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