Answer:
36 fishes
Step-by-step explanation:
Step 1
Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish.
Let the total fraction of fish = 1
The fraction of fish that is not catfish is
1 - 2/3
= 1/3
Step 2
She catches 12 fish that are not catfish.
Let the total number of catfish = x
Hence,
1/3 × x = 12
Equation is given as:
x/3 = 12
Cross Multiply
x = 3 × 12
x = 36 fishes
The the total number of fish, x that Nanette catches is 36 fishes
Answer:
(-6,7)
Step-by-step explanation:
The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).
Answer: (A) y=-2x
Step-by-step explanation:
Lets plug in the point (2,-4) for each equation.
-4=-2(2) this is correct
-4=2*2
-4=4 This cannot be true
-4=-2+3 =-4=1 This is false
Lastly, -4=2-4 this is false because -4 can't equal to -2.
So, A is the answer
H. 100=10squared and 64=8squared 25=5squared
Answer:
x-intercept: (-2, 0), y-intercept: (0, 10)
Step-by-step explanation:
First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.
This means that the slope of this line is 5.
To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)
5=5(-1)+?
-5+<u>10</u>=5.
The complete equation for this line is y=5x+10.
From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.
On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.
0=5x+10
-10=5x
x=-2
So the <em><u>x-intercept is (-2, 0)</u></em>.
