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2 years ago

find an equation of a line parallel to y=3x+2 and passes through the point (1,3). Write answer form y=mx+b

2 answers:

8 0

Because they are parallel they have the same slope so m= 3
and then we can use the formula
(y-yo)=m (x-xo)
where 1 is xo and 3 is yo
after substitution
y-3=3x-3

y=3x+0

Komok [63]2 years ago

4 0

If the line is parallel, it will have the same slope but a different y intercept.
So, so far y=3x+b.
Because we know that this parallel line goes through (1,3), we can substitute these co-ordinates to get b:
3=(3 x 1)+b
3=3+b
0=b
So the equation of the parallel line is as follows:
y=3x+0

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Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

arlik [135]

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

$\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2$

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

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2 years ago

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1 year ago

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A box contains 8 red balls, 5 brown balls, 4 purple balls, and 3 green balls. What is the probability that a purple ball will be

Gnoma [55]

Answer:

21.1 percent

Step-by-step explanation:

Total balls after -1 red ball=7+5+4+3=19

Prob of purple ball= purple ball/total balls

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2 years ago

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

lesya692 [45]

Answer:

$(-x+2, -\frac{1}{2}y-4})$

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Since we know that the midpoint is (3, -2), let's substitute that for M:

$(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Let's solve for each coordinate individually:

X-Coordinate:

We have:

$3=\frac{x_1+x_2}{2}$

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

$3=\frac{(x+4)+x_2}{2}$

Solve for our second x-coordinate x₂. Multiply both sides by 2:

$6=x+4+x_2$

Subtract 4 from both sides:

$2=x+x_2$

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

$x_2=-x+2$

Y-Coordinate:

We have:

$-2=\frac{y_1+y_2}{2}$

Substitute 1/2y for y₁. This yields:

$-2=\frac{\frac{1}{2}y+y_2}{2}$

Solve for y₂. Multiply both sides by 2:

$-4=\frac{1}{2}y+y_2$

Subtract 1/2y from both sides. So:

$y_2=-\frac{1}{2}y-4$

Therefore, the other coordinate expressed in terms of x and y is:

$(-x+2, -\frac{1}{2}y-4})$

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2 years ago

Compare and contrast the effects that a proportional dimension change has on perimeter and area of figures

Kipish [7]

A proportional dimension will change the perimeter by the factor of itself. And will change the area by the factor of the dilation squared.

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