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olganol [36]
3 years ago
14

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

y + 3 = 4(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 4 and (a, b) = (- 1, - 3), hence

y + 3 = 4(x + 1) ← in point- slope form


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Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o
wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is  x = 274 \ unites

Step-by-step explanation:

From the question we are told that

       The length of the vertical length is  x

      The length of the base leg is L = 330 + d units

      The length of the bisecting line segment is h

       The base angle is \theta  = 28^o

       The angle between d and line segment is  \theta_1 =  56^o

For the first angle

         Tan \theta_1 =  \frac{x}{d}

=>     d =  \frac{x}{Tan \theta _1}

 For the whole big triangle

      Tan \theta = \frac{x}{330 + d}

=>     d = \frac{x}{Tan \theta }  -330

So equating the both d

        \frac{x}{Tan \theta _1} =    \frac{x}{Tan \theta }  -330

Substitute values

        \frac{x}{Tan (56)} =    \frac{x}{Tan (28) }  -330

      0.6745 x =    1.880x  -330

       1.20549 x = 330

       x = 274 \ unites

     

   

5 0
3 years ago
What is the volume of a cylinder? Give an informal argument for the formula.
N76 [4]
The formula to find the volume of a cylinder is 3.14 • r squared • h
3 0
3 years ago
5 points
Alinara [238K]
C negative numbers are always last.
8 0
3 years ago
Read 2 more answers
Given mſn, find the value of x.<br> (6x-7)º<br> m<br> (4x-10°
Pavel [41]

Answer:

x = 3

Step-by-step explanation:

These angles are actually equal to each other

This is because when two lines intersect, the two opposite angles are the same.

Since they are the same, you can set them equal to each other

Like so:

6x - 7 = 4x - 1

Then solve:

6x - 7 = 4x - 1

6x = 4x +6

2x = 6

x = 3

5 0
2 years ago
A rectangle has a height of 6k3 and a width of 2k2 + 4k +5.
Trava [24]

Answer: 12k^5+24k^4+30k^3

Step-by-step explanation:

Given : The height of the rectangle = 6k^3

The width of the rectangle = 2k^2+4k+5

Formula : Area = height x width

Therefore , the area of triangle in terms of polynomial will be :

6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3

Hence, the area of the entire rectangle =12k^5+24k^4+30k^3

5 0
4 years ago
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