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kirill [66]
3 years ago
11

Dimitri wrote the equations y = 3x and y = x + 3.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

Answer:

(12,-1)

Step-by-step explanation:

just be nice and dont call no one an idiot

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Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t
gayaneshka [121]

ANSWER

( -  \frac{23}{5} , - 4)

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

x = \frac{ mx_2+nx_1}{m + n}

y= \frac{ my_2+ny_1}{m + n}

Where m=3 and n=2

x = \frac{ 3 ( - 9)+2(2)}{3+ 2}

x = \frac{  - 23}{5}

y= \frac{ 3( - 6)+2( - 1)}{3 + 2}

y= \frac{  - 20}{5}  =  - 4

The point is

( -  \frac{23}{5} , - 4)

4 0
3 years ago
Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to
galben [10]
Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use Cos (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which Cos, Hypotenuse, and Adjacent side.

Cos^{-1} =45/100

Now, let's solve the left part of this function


Cos^{-1} =0.45

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

Cos^{-1} =0.45
63.25631605

Awesome. Let's round this number to the closest tenth

63.3 is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0
3 years ago
Find the value of each measure.
zloy xaker [14]

The two congruent base angles tell us that this is an isosceles triangle, meaning the triangle has two congruent sides. Therefore, we can set these two expressions equal to each other and solve from there.

15x + 7 = 23x - 17

7 = 8x - 17

8x = 24

x = 3

Side = 15(3) + 7 = 45 + 7 = 52

Hope this helps!

4 0
3 years ago
Acellus. Solve for x. x = ?
Makovka662 [10]

Answer:

according to basic proportionality theorem

\qquad\sf {:}\longrightarrow 25/35=x/63

\qquad\sf {:}\longrightarrow 5/7=x/63

\qquad\sf {:}\longrightarrow 7x=63×5=315

\qquad\sf {:}\longrightarrow x=315/7=45

5 0
3 years ago
78 is 15% of what #?
nirvana33 [79]
1. 78 = 0.15x
    78 / 0.15 = x
    520 = x.....so 78 is 15% of 520

2. | 3x - 2 | = 8                               | x + 1 | = 1

3x - 2 = 8      -(3x - 2) = 8            x + 1 = 1          -(x + 1) = 1
3x = 8 + 2      -3x + 2 = 8             x = 1 - 1           -x - 1 = 1
3x = 10           -3x = 6                  x = 0                 -x = 2
x = 10/3           x = -2                                             x = -2

ur answer is : x = -2

3. 3y - 4x + 5 = 0
    3y = 4x - 5
      y = 4/3x - 5/3
   slope = 4/3
    
6 0
3 years ago
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