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KengaRu [80]
1 year ago
5

Is the point (2,8) a solution of the equation y = 13x + 12? O Yes O No

Mathematics
1 answer:
vovikov84 [41]1 year ago
6 0

Answer:

O No

Explanation:

Given equation: y = 13x + 12

To check if (2, 8) is a solution of the given equation.

Substitute x and y value in equation and check if it is true.

\rightarrow y = 13x+12

(x, y) = (2, 8)

\rightarrow 8 = 13(2)+12

simplify

\rightarrow 8 = 38

This following statement is false and hence (2, 8) is not a solution.

You might be interested in
I found a place that will give me a 20 percent discount if i spend over 50 dollars. My bill is 75 dollars. How much money will i
const2013 [10]
X of 20% = y
x - y = 75

x = total amount
y = discounted amount

x * 20/100 = y
x * 0.2 = y
replace y with 0.2x in other equation

x - y = 75
1x - 0.2x = 75
0.80x = 75
x = 75/.8
x = 93.75


Check:
93.75 * 20/100 = 18.75
93.75 - 18.75 = 75
x = 93.75
y = 18.75

Answer: Total amount without discount is $93.75

//BTW not sure about this, but kind of make sense

6 0
3 years ago
Which of the following is the graph of the quadratic function? y=x^2+4-12
tiny-mole [99]

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

5 0
3 years ago
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
One angle of a triangle measures 136º. The other two angles are congruent.
WINSTONCH [101]

Answer:

22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + x + 136° = 180°

2x + 136° = 180° ( subtract 136° from both sides )

2x = 44° ( divide both sides by 2 )

x = 22°

3 0
2 years ago
Last month Marybeth was charged $112for a 945kWh of electricity. How much did the company charger her per kWh, to the nearest ce
Usimov [2.4K]
She was charged 12 cents per kWh
3 0
3 years ago
Read 2 more answers
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