All categories

2 years ago

Please hurry up and help me thanks

Mathematics

1 answer:

labwork [276]2 years ago

4 0

Answer:

Line 1: m = 2

Line 2: m = 2

The lines are parallel.

Step-by-step explanation:

First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.

If the slope of both lines are the same, they are parallel.

If the slope of one is the negative reciprocal of the other, they are perpendicular.

If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.

✍️Line 1, y = 2x + 5, is already in the slope-intercept form.

✅The slope of Line 1 is 2

✍️Line 2, y - 3 = 2(x + 15), is in point-slope.

We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.

y - 3 = 2(x + 15)

y - 3 = 2x + 30

Add 3 to both sides

y = 2x + 33

✅As we can see, the slope of line 2 is 2.

✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.

You might be interested in

What are the coordinates of the centroid of a triangle with vertices P(−4, −1) , Q(2, 2) , and R(2, −3) ?

Alenkasestr [34]

Answer:

$(x,y)=(0,\frac{-2}{3})$

Step-by-step explanation:

Given : Vertices of Triangle $P(x_1,y_1)=(-4,-1)$ , $Q(x_2,y_2)=(2, 2)$ and $R(x_3,y_3)=(2,-3)$

To find : Centroid of a triangle

The centroid of a triangle is the point of intersection of the three medians of the triangle.

The formula to calculate the centroid of a triangle is:

$(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

Where, $x_1,x_2,x_3,y_1,y_2,y_3$ are the coordinates of the centroid

Substituting the values in the formula gives us:

$(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

$(x,y)=(\frac{-4+2+2}{3},\frac{-1+2-3}{3})$

$(x,y)=(\frac{0}{3},\frac{-2}{3})$

Therefore, $(x,y)=(0,\frac{-2}{3})$

4 0

3 years ago

Read 2 more answers

Would love some help

natali 33 [55]

<h3>Answer: 90 cubic meters</h3>

Each triangle has a base of 10 and height of 3.6

area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters

multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,

volume of prism = (area of base face)*(height of prism)

The notation "m^3" is shorthand for "cubic meters"

We do not use the other dimensions of 9 m and 7 m.

7 0

3 years ago

What is the area: triangle with base of 14 in and height 10 in

Anika [276]

Triangle area formula: base*height/2
so, 14*10/2 = 7*10 = 70 sq. in.

7 0

3 years ago

Read 2 more answers

Toby wants to buy 2 concert tickets that cost $19 each. His makes $4.75 an hour while he mows lawns. How many hours will he need

nikitadnepr [17]

Cost of a ticket = $19
So, cost of two tickets = 19 * 2 = $38

Now, he makes, $4.75 in an hour.
Let, the number of hours for that much money = x

It would be: 4.75x = 38
x = 38 / 4.75
x = 8 hours

In short, Your Answer would be 8 hours

Hope this helps!

8 0

3 years ago

A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?

gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

$\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}$