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d1i1m1o1n [39]
3 years ago
13

I NEED TO KNOW THIS Q

Mathematics
2 answers:
Nikolay [14]3 years ago
6 0

See picture for explanation.

IRISSAK [1]3 years ago
3 0
To find where they intersect you need to find where they equal each other. Since you already know what y equals in terms of x from the blue equation you can plug that into the red equation to solve for x
x + 4(2x - 6) = 12 \\ x + 8x - 24 = 12 \\ 9x = 36 \\ x = 4
Now that we know what x is equal to we can plug it into the blue equation to solve for what y is equal to
y = 2(4) - 6 \\ y = 8 - 6 \\ y = 2
The place where the two lines intersect is at the coordinate (4,2)
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Simplify the expression (√3 + i)(√3- i) and write the result in the form a+bi.
goblinko [34]

Answer: D) 4

Step-by-step explanation:

8 0
3 years ago
7x-6y=15<br> -9x+6y=-9 Please help out
olga55 [171]

Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-6*y-(-15)=0

Step by step solution :

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Step 1 :

Equation of a Straight Line

1.1 Solve 7x-6y+15 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 7x-6y+15 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/2 so this line "cuts" the y axis at y= 2.50000

y-intercept = 15/6 = 5/2 = 2.50000
Calculate the X-Intercept :

When y = 0 the value of x is -15/7 Our line therefore "cuts" the x axis at x=-2.14286

x-intercept = -15/7 = -2.14286
Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is 4.833. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.833 - 2.500 = 2.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.333/2.000 = 1.167
Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
7 0
3 years ago
Read 2 more answers
Given m || n, find the value of x and<br> y.
Ann [662]

Answer:

x = 41 , y = 139

Step-by-step explanation:

x and 41° are alternate exterior angles and are congruent , so

x = 41

x and y are a linear pair and sum to 180° , that is

x + y = 180

41 + y = 180 ( subtract 41 from both sides )

y = 139

3 0
2 years ago
What is the next term of the geometric sequence? 72,36,18
MissTica

Answer:

9

Step-by-step explanation:

The ratio is 1/2 so the next term would always be half of the previous one.

- 72 times 1/2 is 36

-36 times 1/2 is 18

-18 times 1/2 is 9. So the answer is 9

5 0
3 years ago
If 9% of a number equals 10, find 90% of that number.
rodikova [14]
The answer is 100 % because it’s the same but with two zeros
5 0
3 years ago
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