Answer:
Step-by-step explanation:
Given rule for the multiple translations is,
Apply the rule 
first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,
(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Answer:
f(x)=-3x+4
(can't see some of your choices)
Step-by-step explanation:
We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.
So we need to solve for y.
9x+3y=12
Subtract 9x on both sides
3y=-9x+12
Divide both sides by 3:
y=-3x+4
Replace y with f(x).
f(x)=-3x+4
Answer:
If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.
So firstly you have to calculate the speed of the first point, which is:
20 miles/0.5 hour
That means: 40 miles/hour
That would be your first "speed"
Then you calculate all of them :speed1+speed2+speed3 = something.
As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr
Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.
It is my first answer, and I hope I could help you a bit!
Sorry for the awkward English, as it is not my mother tongue.
Step-by-step explanation:
Answer:
He can make 3 batches of soup.
Step-by-step explanation:
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
