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3 years ago

1. Which of the following points lie on the line y = 7x – 16?

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

D) (3, 5)

Step-by-step explanation:

Because 7(3)-16=21-16=5.

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What the answer to this???

geniusboy [140]

Answer:

they are similar because you have to in both equations you have to multiply 1/2 by bh

they are different because the trapezoid base is added to itself and multiplied by 1 and 2

8 0

3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?

Aleksandr [31]

Answer:

y = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

slope of line p = 8

y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

Slope of the line = 8

y-intercept = 3

Equation of the line;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

y = 8x + 3

6 0

2 years ago

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?

zysi [14]

Answer:

1) one

2) zero

Step-by-step explanation:

e/sinE = g/sinG

10/sin64 = 9/sinG

sinG = 0.8089146417

G = 53.99

j/sinJ = k/sinK

3/sin129 = 8/sinK

sinK = 2.072389241

3 0

3 years ago

Read 2 more answers

Suppose that the handedness of the last fifteen U.S. presidents is as follows:40% were left-handed (L)47% were Democrats (D)If a

lesantik [10]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Probability that they were left handed P(L)= 40%

Probability that they were Democrats P(D)= 47%

So, P(L∩D) = 135 = 0.13

Now, to check whether they are independent or not.

We will find P(L) × P(D) is given by

$P(L)\times P(D)=0.47\times 0.40=0.188$

Since P(L) . P(D) ≠ P(L∩D)

So, they are not independent.

Hence, Option 'c' is correct.

3 0

3 years ago