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VMariaS [17]
2 years ago
13

A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes throug

h the points (1, 0) and (0, negative 6).
What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8
Mathematics
2 answers:
natali 33 [55]2 years ago
5 0

Answer:

its option C,   6

Step-by-step explanation:

tensa zangetsu [6.8K]2 years ago
3 0

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

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8 0
2 years ago
Read 2 more answers
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S
lana [24]

Answer:

Part A) h=V/(\pi r^{2})

Part B) h=4\ cm

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

V=\pi r^{2}h

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})

Simplify

V/(\pi r^{2})=h

Rewrite

h=V/(\pi r^{2})

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

V=36\pi\ cm^3

r=3\ cm

substitute in the formula and solve for h

h=36\pi/(\pi 3^{2})

h=4\ cm

8 0
2 years ago
Maggie bought 3/4 of a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price o
beks73 [17]
If you had 4 boxes of cereal and each costs $2.40, the total cost would be $9.60 (2.40×4).

The total cost of the bananas and the cereal cost $10.11. To find how much the 3/4 of bananas cost, simply subtract $9.60 away from $10.11 (10.11-9.6), which gives you $0.51.

The question asks for 1 pound of bananas but you only have the cost of 3/4. So, divide your cost by 3 to give you the cost of 1/4. (0.51÷3), which gives you $0.17.

The last step is to multiply this answer by 4 because 4/4 will result in a whole, or in this case, one pound (0.17×4) and thus gives you the cost $0.68 for one pound of bananas.

(please correct me if I'm wrong, hope this helped c: )
6 0
2 years ago
Read 2 more answers
The lengths of the sides of a rectangular window have the ratio 1.2 to 1. The area of the window is 1920 square inches. What are
PilotLPTM [1.2K]
The answer is 40 by 48 inches

40 * 48 = 1920
5 0
2 years ago
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅
siniylev [52]

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.


7 0
2 years ago
Read 2 more answers
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