The equation will be of the form y=ax+b, but we have to find a and b.
If you fill in the first point, you get:
2 = -a + b => b = 2+a
Second point:
-1 = -2a + b
Fill in first into second
-1 = -2a + 2 + a => -3 = -a => a=3
b = 2+a = 2+3 = 5
so the equation is
y=3x+5
Once you have this, it is safe to fill in both coordinates to double-check for mistakes.
Answer: A) SAS and B) ASA and (D) LA
<u>Step-by-step explanation:</u>
A) AC = XZ Sides are congruent
∠C = ∠Z Angles are congruent
BC = YZ <u> Sides are congruent </u>
Side-Angle-Side
B) ∠A = ∠X Angles are congruent
AC = XZ Sides are congruent
∠C = ∠Z <u>Angles are congruent </u>
Angle-Side-Angle
C) AB = XY is not given. We can use Pythagorean Theorem to discover that they are the same but since it is not given we cannot use Side-Side-Side.
D) AC = XZ Legs are congruent
∠A = ∠X <u>acute Angles are congruent </u>
Leg-Angle
The solution would be like
this for this specific problem:
<span>Take note that the most
important given is 1,700lbs of gravel.
1700 lbs of gravel * 6 cubic yards of concrete</span>
= 10,200
<span>Therefore, 10,200 pounds of
gravel will be used to pour 6 cubic yards of concrete.</span>
Answer: there are 50 humans and 24 horses.
Step-by-step explanation:
Let x represent the number of humans in the horse racing area.
Let y represent the number of horses in the horse racing area.
He counted 74 heads. A human has one head and a horse also has one head. It means that
x + y = 74
He counted 196 legs. A human has 2 legs and a horse has 4 legs. It means that
2x + 4y = 196 - - - - - - - -- - -1
Substituting x = 74 - y into equation 1, it becomes
2(74 - y) + 4y = 196
148 - 2y + 4y = 196
- 2y + 4y = 196 - 148
2y = 48
y = 48/2 = 24
x = 74 - y = 74 - 24
x = 50
Answer:
.705
because it comes after the decimal point
