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Mariulka [41]
3 years ago
9

Does the equation 2x + 3 = 11 go through the point (1,4)?

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
Answer: yes it does

2x= 8
x= 8/2

x=4.
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luda_lava [24]
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Help me with this one please
galben [10]

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For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

8 0
2 years ago
Which is equivalent to the expression 4( +5) +4x +8
Ann [662]

Answer: 13+16x

Step-by-step explanation:

Okay so I just learned how to do that haha, so if the answer is wrongdoing I'm a sorry.

I added the 8 and five, then multiplyed the 4 and the 4 then added the x on the end.

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2 years ago
A conjecture and the flowchart proof used to prove the conjecture are shown.
dexar [7]
Okay. An obtuse triangle is any triangle that has 1 angle that measures more than 90°. As we can see, angle QRS measures 76° and angle PRQ measures 104°. 104 > 90. Triangle PQR is a closed figure, and a triangle measures 180° total. There can only be 1 obtuse angle in any triangle. PRQ is an obtuse angle. Therefore, triangle PQR is an obtuse triangle.

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Read 2 more answers
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