Answer:
Step-by-step explanation:
Remark
You have 2 points to solve the equation y = mx + b. After finding m, use either of the points to find b.
Formula
y = mx + b
m = (y2 - y1)/(x2 - x1)
Solution
- y2 = 13
- y1 = 5
- x2 = 0
- x1 = 24
m = (13 - 5)/(0 - 24)
m = 8 / - 24
m = - 1/3
y = mx + b
y = -1/3 x + b
Use (0,13) as the point.
13 = -1/3 * 0 + b
13 = b
The y intercept = (0,13)
Answer:
The equation for the given maths problem is $ 34 + $ 8x = $ 90
Step-by-step explanation:
According to question :
The Total amount spent on cloths = $ 90
The cost of a pair of jeans = $ 34
The cost of each t-shirt pair = $ 8
The amount spent on t-shirt = $ 90 - $ 34 = $ 56
Let the number of t-shirt pair = x
So, $ 34 + $ 8x = $ 90
Or, $ 8x = $ 90 - $ 34
∴ x = 
Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90 Answer
Okay you have 2 sum unknow lets call them X+Y
so X+Y=33, 4X=108
Get X by it self then plug it in 4X=108
X=-Y+33
4(-y+33)= 108
-4y+132=108 Then subtract the 132
-4y=-24 Y=6 then to find X subtract 33-6=27
Y=6 X=27 if you check it works out
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
- The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
- The angles in the rhombus are 44 and 46 degrees, respectively
<h3>How to determine the values of x?</h3>
<u>Triangle 1</u>
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
<u>Triangle 2</u>
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
<u>Triangle 3</u>
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
<h3>How to calculate the angles of the rhombus?</h3>
The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
Read more about tangent ratio at:
brainly.com/question/13347349
