Answer:
3. The x-coordinate of point P is 6. Since P(6,1).
4. Area of rectangle is 32 square units.
Step-by-step explanation:
3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.
4. The appropriate sketch of the rectangle in a Cartesian plane shows that;
AB = DC = 4 units
AD = BC = 8 units
Area of rectangle = length x width
= 8 x 4
= 32 square units
The area of the rectangle is 32 square units.
<span>Simplify the rational expression. State any restrictions on the variable.
A. t + 4; t ≠ 8 B. - t + 4; t ≠ - 8 C. t - 4; t ≠ - 8 D. - t - 4; t ≠ 8
I think it would be C.
</span>
Say to yourself - which whole numbers does the square root of 28 lie between.
Well 5 x 5 = 25 and 6 x 6 = 36. So it lies between 5 and 6 and because 28 is a little closer to 25 than it is to 36, we should guess a number that is less than 5.5.
It doesn't matter whether I chose 5.4, 5.3, 5.2 or 5.1 but my best guess would be about 5.2 or 5.3. I already know which is the better of the two having used a calculator. But instead I am going pretend I don't have one handy and I will use 5.2
Now I will divide 28 by 5.2 28/5.2=5.38 rounded to the nearest hundredth.
Now I will find the average of my divisor (5.2) and my answer 5.38
(5.2+5.38)/2 = 5.29 I will use that number (5.29) as my new divisor
28/5.29 = 5.293 rounded. I already have enough information to round the square root of 28 to the nearest tenth. It will be 5.3 since the 9 is large enough
to round the 2 to a 3. 5.3 is the answer.
We could continue to average the answer and the divisor and use the new number to round the square root of 28 to the nearest 100th, 1000th and so on, but because the square root of 28 is irrational, we will never get an exact answer. There is no number times itself that equals 28.
Answer:
x=-2 and y=2
Step-by-step explanation:
Do simultaneous equations
-8x + 4y = 24 <em>(multiply everything in the equation by -7)</em>
-7x + 7y = 28 <em>(multiply everything in the equation by 8)</em>
56x - 28y = -168
-56x + 56y = 224
<em>(add equations, ie add 'x' parts, 'y' parts, and numerical parts)</em>
<em> </em>28y = 56
∴y = 2
-8x + 4y = 24
-8x + 4(2) = 24
-8x = 16
∴x=-2
Lemme know if you have questions :D
Answer:
its the same as 48
Step-by-step explanation:
