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3 years ago

What is the value of x 5x 3=38?

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

5x times 3 = 38
divide by 3
5x = (38/3)
Divide by 5
x= 38/15

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Triangle ABC has vertices ofA(–6, 7), B(4, –1), and C(–2, –9).Find the length of the median from

Svetradugi [14.3K]

We know that in geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. So, in a triangle there are three medians. We will find them.

As shown in the figure below, we have the medians:

P1C
P2A
P3B

We need to find P1, P2 and P3. The midpoint of the segment (x1, y1) to (x2, y2) is:

$(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})$

Therefore:

For the segment AB:

$P_{1} = ( \frac{4-6}{2}, \frac{7-1}{2})$
$P_{1} = (-1,3)$

For the segment BC:
$P_{2} = ( \frac{4-2}{2}, \frac{-1-9}{2})$
$P_{2} = (1,-5)$

For the segment CA:
$P_{3} = ( \frac{-6-2}{2}, \frac{7-9}{2})$
$P_{3} = (-4,-1)$

We know that the distance d between two points P1(x1,y1) and P2(x2,y2) is given by the formula:

$d = \sqrt{(x_{2}- x_{1})^{2}+(y_{2}- y_{1})^{2} }$

Then of each median is:

Median P1C:

$d_{1} = \sqrt{(-9-3)^{2}+(-2-(-1))^{2}} = \sqrt{145}$

Median P2A:

$d_{2} = \sqrt{(7-(-5))^{2}+(-6-1)^{2}} = \sqrt{193}$

Median P3B:

$d_{3} = \sqrt{(-1-(-1))^{2}+(4-(-4))^{2} } = 8$

3 0

3 years ago

Write the standard form of the equation of the line that passes through (-2, -3) and (2,-5).

Naily [24]

Answer:

y= -1/2x-4

Step-by-step explanation:

By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!

5 0

3 years ago

Solving equations-variables on both sides!

Lesechka [4]

Answer:

no solution !

Step-by-step explanation:

because when you do the solving steps:

Distributative Property

combine like terms

x goes away bc you subtract 3x from 3x

therefor NO solution

Hope this helps ;)

8 0

2 years ago

Urgent please ans this

exis [7]

Answer: No.

Step-by-step explanation:

The absolute value of a number is always positive. So, the absolute value of 17 is 17.

8 0

2 years ago

Question 8 What is (4x - 5)(6x + 5) expressed as a trinomial?

erica [24]

Answer:

24x^2 -10x - 25

Step-by-step explanation:

24x^2 + 20x - 30x - 25

24^2 -10x - 25

8 0

2 years ago

Read 2 more answers