A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42
x = 42 > ( 42,0 )
10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56
y = 56 > ( 0,56 )
(42,0) (0,56)
B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.
C.) (21 ,28) - (14,37) - (28,18)
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
X² = 17
To simplify this, you need to find the square root of x², which is x, and the square root of 17.
x = √17
Also remember that when you are using square root, the answer can be either positive or negative.
x = +/-√17 ≈ +/- 4.12
x isn't a linear equation, it's just a variable or an expression or a letter of the alphabet.
x = 0 is a linear equation and is a line in the Cartesian plane. In fact, it's the y axis itself.
So every point on the line x=0 is a y intercept.
There is no "the" y intercept, no unique y intercept.
y = 8
x = 575
We want to solve for b in the slope-intercept form y = mx + b.
To complete this problem, we need the value of m, the slope. If you know m, then just plug into y = mx + b this way:
8 = 575m + b
