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konstantin123 [22]
2 years ago
9

2. Tell whether the lines through the given points are parallel, perpendicular,

Mathematics
1 answer:
kirill115 [55]2 years ago
8 0

Answer:

A is Perpendicular

B is Neither

C is Parallel

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HelpppppPpapPPapPapp
Dmitriy789 [7]

Step-by-step explanation:

we have two lines you have to draw.

one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).

the easiest is for x>5. the line function is only

f(x) = y = 3

so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).

and for x<=0 the line

f(x) = y = 4x - 3

goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.

so, the starting point (with a full dot, as x=0 is included) is (0,-3).

from there it goes sharp down and a little bit to the left.

for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).

the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.

3 0
3 years ago
Two number cubes are rolled. Each number cube has sides numbered 1 through 6.
cricket20 [7]
There are a total of 6*6=36 outcomes (sums), of which 18 are odd, 18 are even, so the probability of getting an odd sum is 18/36
of the 36 outcomes, there are four fives and three tens, so the probability of getting a multiple of 5 is 7/36
but the four fives are also odd numbers, so we need to subtract 4/36
the result is: 18/36 +7/26 -4/36=21/36=7/12 =0.58333333

to see the total outcomes, Google image "two number cubes sum" or go to this website:
https://www.eduplace.com/math/mw/background/5/06b/te_5_06b_probability_devel.html

3 0
4 years ago
Find the center of the circle whose equation is x² + y² = 4.
Varvara68 [4.7K]

Answer:

The center of circle is (0,0)

Step-by-step explanation:

We need to find the center of the circle of the equation x^{2}+y^{2}=4

Since, the general equation of circle is (x-h)^{2}+(y-k)^{2} = r^{2}

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is x^{2}+y^{2}=4 as,

x^{2}+y^{2}=2^{2}

Compare x^{2}+y^{2}=2^{2} with (x-h)^{2}+(y-k)^{2} = r^{2}

so, (x-0)^{2}+(y-0)^{2} = 2^{2}

Hence, the center of circle is (0,0)

4 0
3 years ago
Read 2 more answers
The sum of Eli’s age and Cecil’s age is 60. Six years ago, Eli was three times old as Cecil. Find Eli’s age now
Nesterboy [21]

Answer:

Eli's age = 42 years

Step-by-step explanation:

Let x be Eli's age and y be Cecil's age

So,

According to the statement given

x+y=60     eqn 1

Eli's age 6 years ago = x-6

Cecil's age 6 years ago = y-6

So according to the given statement

x-6 = 3(y-6)

x-6 = 3y - 18

x-3y = -18+6

x-3y= -12      eqn 2

Subtracting eqn 2 from eqn 1

x+y - (x-3y) = 60 - (-12)

x+y-x+3y = 60+12

4y = 72

y = 18

Cecil's age = 18 years

Putting y = 18 in eqn 1

x+18=60

x = 60-18

x = 42

Eli's age = 42 years ..

8 0
3 years ago
Solve the equation. |x + 5| = 9 {–4, 14} {–14, 4} {4, 14} {–14, –4}
inna [77]

Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

6 0
3 years ago
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