For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18

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°

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°

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Answer:

0.85,8/9,0.92

Step-by-step explanation:

8/9=0.8888

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.

Answer:

I think its  

Step-by-step explanation:

I think its a because the IQR is the third quartile minus the first quartile (third-first=IQR)(the first is the middle number between the minimum and median and the third quartile is the middle number between the median and the maximum)so anyway it just makes sense that the answer would be B

Answer:

See below

Step-by-step explanation:

100 boxes     28 red    40 green   32 blue

4/10 * 100   = 40       Green

.32 * 100 = 32           Blue

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

Answer:

23

Step-by-step explanation:

A(4) is the smaller

Step-by-step explanation:

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

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

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.

Answer:

heya! ^^

given ,

★ diameter of cylinder = 2 inches

[tex]\therefore \: radius = \frac{2}{2} = 1 \: inch \\ [/tex]

★ height of cylinder = 21 inches

______________________________________

[tex]surface \: area \: of \: cylinder = 2\pi \: r(r + h) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 1(1 + 21) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 22 \\ \\ \dashrightarrow \: 3.14 \times 44 \\ \\ \dashrightarrow \: 138.16 \: inches {}^{2} [/tex]

hope helpful :D

Answer:

|x - 5| = 2

Step-by-step explanation:

Since we are not given a zero on the number line, we do the following:

Average = midpoint between two numbers on the number line

For this number line,

Average = 3 + 7 ÷ 2

Average = 5

Next we find how many units away are each number from the middle:

3 is 2 units away from 5

7 is 2 units away from 5

Units away = 2

Let's use the formula:

|x - average| = Units away

Substitute values into equation

|x - 5| = 2

Now we solve

Solve for x over the integers:

|x - 5| = 2

Split the equation into two possible equations:

x - 5 = 2 or x - 5 = -2

Add 5 to both sides:

x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5

Answer:

x = 7 or x = 3

LOOK AT THE GRAPH AND NUMBER LINE

Answer:

given below

Step-by-step explanation:

option 1 : equally likely

option 2 : impossible

option 3: certain

option 4 : unlikely

option 5 : likely

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

Det: 8-5=3

E= (60-50)/3=10/3 =3.33 lb

C= 80-60 /3=20/3 =6.66 lb

Answer:

mix nuts 20/3

nuts 10/3=

Step-by-step explanation:

x+y=10

5x+8y=60

Answer:

b) adjacent and complimentary

Step-by-step explanation:

Supplementary angles equal 180. Complimentary angles equal 90. 55+35 equals 90 and are next to each other therefore they are adjacent and comlimentary.

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

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]

So b^2 = 225 ⇒ Choice B

Hope that helps!

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.

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:

 
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!

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

8.06 miles

hope it helps...!!!

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

Answer:

Fraction 1: 3/5

Fraction 2: 3/4

3 x 3 = 9

5 x 4 = 20 :)

Hope this helps!!

Please rate and mark brainliest!!!

Have an amazing day!!

Answer:

Answer: The square is made of 4 congruent triangles.....Moving two of the triangles changes the figures shape....Step-by-step

explanation: Hope this help Cutieboyz

Sorry thats just my nickname for boys if u even are one lol

TYYYYYY

Answer:

Step-by-step explanation:

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

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]

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

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.

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

Step-by-step explanation:

diameterfor first minute :

Circumference = 25.12

2πr = 25.12

22/7 × r = 25.12/2

r = 12.56 × 7 /22

r = 87.92/22

r = 3.99 mm ( approx. )

diameter = 2r = 2 × 3.99 = 7.98 mm

diameter for second minute =

circumference = 75.63

2πr = 75.63

πr = 75.63/2

r = 37.815 × 7/22

r = 264.705/22

r = 12.032 mm

diameter = 2r = 24.064 mm

COMPARISON : 24.064/7.98

3 times greater ( approximately )

Answer:

option C

i hope it is correct

Answer:

Line KM is not shown in the drawing.