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2 years ago

Please help me with this question!!

Mathematics

1 answer:

quester [9]2 years ago

8 0

Answer:

Step-by-step explanation:

a1 = 6

a2 = 10

a3 = 14

The next member of the sequence is 4 more than the current sequence. Therefore d = 4

a1 = 6

d = 4

n = 13

an = a1 + (n - 1)*d

an = 6 + (n - 1)*4

a_13 = 6 + 12*4

a_13 = 6 + 48

a_13 = 54

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Solve xy − 2 = k for x.

MA_775_DIABLO [31]

Isolate x
So xy - 2 = k
Then
xy = k + 2

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2 years ago

The range of 16,23,55,64,49

miskamm [114]

Answer: 48

Step-by-step explanation: To find the range of the data set shown here, remember that the range is the difference between the greatest number in the data set and the least number in the data set.

<em>Greatest number</em> → 64

<em>Least number → </em>16

Now, we need to subtract 16 from 64.

64 - 16 = 48

Therefore, the range of the data set is 48.

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3 years ago

If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).

Ugo [173]

Part A: The equation of the ship's path is $y=3x-1$

Part B: The two ships sails perpendicular to each other.

Explanation:

Part A: It is given that $m=3$ and point (2, 5)

Substituting these in the slope intercept form, we have,

$y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}$

Thus, the equation of the ship's path in slope intercept form is $y=3x-1$

Part B: The equation of the second ship is $x+3 y-6=0$

Let us bring the equation in the form of slope intercept form.

$\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}$

Thus, from the above equation the slope is $m=-\frac{1}{3}$

To determine the two ships sailing perpendicular to each other, we have

$m_{1} \times m_{2}=-1$

where $m_{1}=3$ and $m_{2}=-\frac{1}{3}$

$\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}$

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

3 0

3 years ago

F(x) = 2x - 1

zubka84 [21]

Answer:

A) h(x)=9x-13

Step-by-step explanation:

f(x) = 2x - 1

g(x) = 7x -12

Add them together

f(x) = 2x - 1

g(x) = 7x -12

-------------------------

f(x)+g(x) = 9x-13

h(x) = 9x-13

7 0

3 years ago

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What scale factor will dilate circle see to the size of Circle D

nydimaria [60]

Answer:

choice #6) 2/3

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3 years ago