Answer:
Step-by-step explanation:
1. distribute
2. collect like terms
3. solve
:D
Answer:
Step-by-step explanation:
2 consecutive integers represented as variables:
x, x + 1
Greater one: x + 1
Lesser one: x
Write as an equation
2(Greater) + 13 = 3(Lesser)
Substitute in known values
2(x + 1) + 13 = 3(x)
Multiply
2x + 2 + 13 = 3x
Subtract 2x from both sides of the equation
2 + 13 = x
Add 2 + 13 to simplify
x = 15
Lesser = x = 15
Greater = x + 1 = 15 + 1 = 16
Hope this helps :)
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = × 2 π r, where
- α is the angle of the sector
- r is the radius of the circle
∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π =
→ Substitute them in the rule above
∵ 22 = × 2 × × r
∴ 22 = r
→ Divide both sides by
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
<h2>
Answer:</h2>
We will use substitution to solve this system for x.
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
We now have our solution.
D.
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
Since the equation checks out, our solution is correct.
Answer:
8 times
Step-by-step explanation:
Given
The attached histogram
Required
The number of times the team gain at least 6 yards
From the question, the entry that fall in the category of at least 6 yards are:
, and
Their frequencies are:
5, 2 and 1 respectively
So, the number of times is: