Answer:
In standard form the first equation is 3x + 4y = 12
Step-by-step explanation:
In order to find this, we need to solve for the constant and then eliminate the denominators.
y = -3/4x + 3
3/4x + y = 3
3x + 4y = 12
Answer:
The answer is 5.5
Step-by-step explanation:
+11-1/2 = +×– = += 5.5
Answer:
<u>The correct answer is b = 6 √3 units</u>
Step-by-step explanation:
Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:
1 : √3 : 2, where 2 is the hypotenuse.
Upon saying that, we have that in our triangle:
Hypotenuse = 12 units
a = 6 units
b = 6 √3 units
<u>The correct answer is b = 6 √3 units</u>
Answer:
∠AOC = 50°
B is correct.
Step-by-step explanation:
In the given figure of protractor measure the ∠AOC
Please find the attachment of protractor.
OA is horizontal line which is base of protractor.
In angle AOC, two legs OA and OC
OA is base of protractor. OC another leg.
Now we see position of leg OC of angle AOC.
∠AOC is acute angle. So, see the number bottom of protractor.
Hence, the measure of ∠AOC is 50°
Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
