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3 years ago

3x-6y= -12

1 answer:

5 0

There is no solution to this system of equations because they both have the same slope.

If two lines have the same slope, but are not identically the same line, then they will never intersect. There is no pair (x, y) that could satisfy both equations, because there is no point (x, y) that is simultaneously on both lines. Therefore, these equations are said to be inconsistent, and there is no solution.

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∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?

olasank [31]

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

3 0

2 years ago

Anthony is now designing the classroom layout for the school. Each hallway has exactly 5 classrooms. If Anthony has 48 classes t

cluponka [151]

Answer:

9 and a half

Step-by-step explanation:

the fewest number is 9.5 because thats the exact amount in hallways that he needs

4 0

2 years ago

Read 2 more answers

The elevations, in feet, of three cities are marked on the number line shown below.

Dmitriy789 [7]

I think the answer it C

7 0

2 years ago

Read 2 more answers

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

2 years ago

Hey again, could you help me with this and explain? thank you

Alex

Answer:

option 2

in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line

Step-by-step explanation:

4 0

3 years ago