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Tatiana [17]
2 years ago
6

Solve for Z! If you can explain

Mathematics
1 answer:
Bogdan [553]2 years ago
7 0
The answer is Z=-3 :)
You might be interested in
What term best describes the point where the three medians of a triangle intersects
kirill115 [55]
CENTROID is the term used to describe the point where the three medians of a triangle intersect.

Centroid is the center of gravity of the triangle. It is one of the triangle's point of concurrency. Aside from "center of gravity", it is also known as "center of mass" and "barycenter".

Centroids are always inside the triangle. Since, the centroid is where three medians intersect, each median divides the triangle into two smaller triangles of equal area. The centroid is exactly two-thirds the way along each median.

Other types of triangle centers aside from Centroids are:
1) incenter
2) circumcenter
3) orthocenter


6 0
3 years ago
From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

8 0
2 years ago
A) Factorise a^2 - b^2​
Vadim26 [7]

Answer:

a·a-b·b

Step-by-step explanation:

7 0
2 years ago
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
The point P(x, y) lies on the terminal side of an angle theta = 3 pi/4 in standard position. What are the signs of the values of
Maslowich
3pi/4 is 135 in degrees.  A 135-degree angle lies in quadrant 2.  In quadrant 2, the x values are negative and the y values are positive. 
3 0
3 years ago
Read 2 more answers
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