Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.
![=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10-%5B-2%5D%7D%7B-3-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B10%2B2%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%20-%203)
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°
BC = 4 in
<u>Answer:</u>
Triangle HMK≅Triangle ILJ
<u>Explanation:</u>
Two triangles are congruent if they have the same sides and the same size. This means they have the same shape and size, regardless of their position or orientation.
If we want to verify if two triangles are congruent, they must fulfill some conditions:
a) Two triangles are congruent if their three sides are respectively equal
b) Two triangles are congruent if two of their sides and the angle between them are respectively of equal length.
c) Two triangles are congruent if they have a congruent side and the angles with vertex at the ends of that side are also congruent.
d) Two triangles are congruent if they have two sides respectively congruent and the angles opposite the greater of the sides are also congruent
According to these criteria, Triangle HMK≅Triangle ILJ
Answer:
107
%
3
%
100
/8
Step-by-step explanation:
Answer:
The sum of two numbers is 84:
u + y = 84
The difference of the two numbers is 32:
u - y = 32
