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3 years ago

Which describes the solution of a system of equations for two lines with the same slope and the same y-intercepts?

Mathematics

1 answer:

olganol [36]3 years ago

8 0

The answer is B. Infinitely many solutions. <span />

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Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).

Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

$Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})$

Using the above formula the centroid of △ABC is

$Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})$

$Centroid=(\dfrac{1}{3},\dfrac{3}{3})$

$Centroid=(\dfrac{1}{3},1)$

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

4 0

3 years ago

Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x re

tino4ka555 [31]

Answer:

2x + 4

Step-by-step explanation:

Let R = Ralph's age

and x = Sarah's age

Then Ralph's age in 4 years = R + 4

and Sarah's age in four years = x + 4

Thus, R + 4 = 2(x + 4)

Distribute the 2 R + 4 = 2x + 8

Subtract 4 from each side R = 2x + 4

Ralph's age is 2x + 4.

3 0

3 years ago

Pleas help with what I just recently posted

Delvig [45]

Answer:

Circumference is 18.84 feet. Area is 28.26 square feet.

Step-by-step explanation:

Given:

Radius of the circle, $r=3\textrm{ ft}$

The value of $\pi$ is 3.14.

Now, circumference of a circle of radius $r=3$ is given as:

$Circumference=2\pi r=2\times 3.14\times 3=18.84\textrm{ ft}$

Also, area of the circle of radius $r=3$ is given as:

$Area=\pi r^{2}=3.14\times (3)^{2}=3.14\times 3\times 3=28.26\textrm{ }ft^{2}$

Therefore, the circumference of the circle is 18.84 feet and area of the circle is 28.26 square feet.

5 0

3 years ago

Which pairs of triangles appear to be congruent to any others shown here?

pshichka [43]

I'd say 1, 3 , and 4 (and triangle 2 looks similar to those 3)

8 0

3 years ago

10/b10=6/b-2 solve for b pls

Andrews [41]

The answer is b= -2/5

8 0

2 years ago