Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is :
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation
⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation
⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation
⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
Not knowing what you want, I'll arbitrarily choose to focus on the word problem:
Find the total cost of the blazers and pants, including the tax.
2 blazers @ $49.95 each comes to $99.90.
3 pair pants @ $17.50 each comes to $52.50.
Add these two products together: $99.90 + $52.50 = $152.40
Now mult. this result by 0.055 to find the sales tax: 0.055($152.400) =
$8.38
Finally, add together the purchase cost total and the sales tax:
$152.40 = $8.38 = $160.78 (answer)
You actually posted 3 problems, but not the instructions for the last two of them. That's why I focused on the word problem alone.
Answer:
BC 136m, AB 89m
Step-by-step explanation:
Find the diagram attached
According to sin rule;
a/sinA = b/sinB = c/sinC
From the diagram;
b = 120m
<B = 60degrees
<C = 40degrees
From the sine formula
b/sinB = c/sinC
120/sin60 = c/sin40
csin60 = 120sin40
c = 120sin40/sin60
c = 120(0.6428)/0.8660
c = 77.1345/0.8660
c = 89.06
c = AB = 89m
Get BC;
According to the sine rule
a/sinA = b/sinB
a/sin(180-100) = 120/sin60
a/sin80 = 120/sin60
asin60 = 120sin80
a = 120sin80/sin60
a = 120(0.9848)/0.8660
a = 118.177/0.8550
a = 136.46
Hence a = BC = 136m
The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
y-5+5=8x+5
y=8x+5 represent the slope-intercept form. Hope it help!
Answer:
$3,379.50.
Step-by-step explanation:
7.51% = . 0751 as a decimal. (. 0751) * $45,000 = $3,379.50.