Answer:
4x + 1
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x + 3x + 1 ← collect like terms
= 4x + 1
Use the side lengths! C and D have lengths of 3 and heights of 4.
Also use how far away they are from the axis.
Both C and D are 2 away from each axis on the end point.
This also goes with A.
However, B does not seem to be congruent in the sense of (coordinates)
It is the same length and height.
The answer is -4 because 4+2 is equal to 6 and then 6-2 is equal to 4 and then times into the number of 2 the answer is 4x2 is equal to 8 and then minus into the negative 5 an the answer is -4.
Answer: he hiked 5.6 miles up the canyon.
Step-by-step explanation:
Let x represent his speed hiking uphill.
His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8
Distance = speed × time
Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x
He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =
x + 2.8
Since the distance uphill is the same as the distance downhill, then
2x = x + 2.8
2x - x = 2.8
x = 2.8
Therefore, the distance hiked up the canyon is
2x = 2 × 2.8 = 5.6 miles
<span>If you would like to know in which step did the student first make
an error, you can find this using the following steps:
y = 4 - 2z
4y = 2 - 4z
________________
-4(y) = -4(4 - 2z)
</span>4y = 2 - 4z<span>
________________
-4y = -16 + 8z ... Step 2
</span><span>4y = 2 - 4z</span><span>
________________
0 = -16 + 8z + 2 - 4z</span>
<span>16 - 2 = 4z</span>
<span>14 = 4z</span>
<span>z = 14/4 = 7/2</span>
<span>
The correct result would be: Student made an error in Step 2.</span>
