Answer:
- (0, 4)
- (-1, 16/ 3)
- (-9/ 2, 10)
Step-by-step explanation:
In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.
1.
4x + 3y = 12 . . . . . .(0, _)
here were given the x variable
finding the other term
4× 0 + 3y = 12
3y = 12
y = 4
therefore the ordered pair is <u>(0, 4) </u>
2.
. . . . . . . (-1, _)
here were given the x variable
4 × -1 + 3y = 12
3y = 12 + 4
3y = 16
y = 16/ 3
ordered pair is <u>(-1, 16/ 3)</u>
3.
. . . . . . . . (_, 10)
here were given the y variable
finding the other term
4x + 3 × 10 = 12
4x + 30 = 12
4x = 12 - 30
4x = -18
dividing both sides by 2
2x = -9
x = -9/ 2
ordered pair is<u> (-9/ 2, 10)</u>
Answer:
$1.53
Step-by-step explanation:
Sales Tax Rate = 8.25%
Book Sales Cost = $18.50
Book Sales Tax = 8.25% x $18.50
= 8.25/100 x $18.50
= 0.0825 x $18.50
Book Sales Tax = $1.53
Answer:
Area of triangle RST = 95 in² (Approx)
Step-by-step explanation:
Given:
Side a = 22 in
Side b = 13 in
Perimeter = 50 in
Find:
Area of triangle
Computation:
Side c = Perimeter - Side a - Side b
Side c = 50 - 22 - 13
Side c = 15 in
Heron's formula:
s = Perimeter / 2 = 50 / 2
s = 25 in
Area of triangle = √s(s-a)(s-b)(s-c)
Area of triangle = √25(25-22)(25-12)(25-15)
Area of triangle = √25(3)(13)(10)
Area of triangle = 5√390
Area of triangle = 5 × 19(approx)
Area of triangle RST = 95 in² (Approx)
Answer:
x = -1/2
Step-by-step explanation:
4x - 6 = 10x - 3
+6 +6
4x = 10x + 3
-10x -10x
-6x = 3
/-6 /-6
x = -1/2
L=w+2 and 2w+2l=44
substitute equation for length in perimeter equation
2w+2(w+2)=44
2w+2w+4=44
4w+4=44
4w=40
w=10
substitute width into length equation to get length
l=10+2
l=12
a=lw
a=12*10
a=120 cm^2
