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sweet-ann [11.9K]
3 years ago
13

Tell whether the statement below is always, sometimes, or never true. Equation like, a + 4 = 8 and 4 - m = 2 have exactly one so

lution.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
A + 4 = 8

a = 4

Can you add anything else to 4 to get 8? No.

4 - m = 2

-m = -2

m = 2

Can you subtract anything besides 2 from 4 to get 2? No.

So the statements are always true.
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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


\Rightarrow 11y=-22

\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6


The equation of the line is

y+2=-6(x-2)

y+2=-6x+12


y=-6x+10 is the required equation





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3 years ago
The graph of the function g (x) = -3x2 + bx + 2 is shown. What is the value of b?
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I can see it goes through the point (2, 2)

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Step-by-step explanation:

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Answer:

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A submarine was situated 800 feet below sea level. If it goes 450 feet up towards the surface, goes back down 100 feet and then
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The submarine's new position is 240 feet below sea level.
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