Answer:
90
Step-by-step explanation:
You need to complete the square in x and in y,

First, group the x-terms and the y-terms separately.

Move the 10 to the right side by subtracting 10 from both sides.

Now complete the square in x and in y.
The constant you need to add to complete each square is the square of half of the coefficient of the x or y term. Make sure to add the constants to both sides of the equation.

Answer:
Step-by-step explanation:
3x + 7 + 9x - 43 = 180
12x = 216
x = 18
m∠4 = 3(18) + 7 = 61°
m∠5 = 9(18) − 43 = 119°
Answer:
24 ml oil
60 g onions
360 g potatoes
400 ml milk
Step-by-step explanation:
The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.
<em>*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.</em>
1) 96/4 = 24 ml
2) 240/4 = 60 g
3) 1.44/4 = 0.36 kg
They want it in grams, so times it by 1,000 to convert. this gives you 360 g.
4) 1.6/4 = 0.4 l
They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.
Hope this helped : )
Answer:
-14√2
Step-by-step explanation:
Note that 18 = 2*9, and that 9 is a perfect square. Therefore,
2*√18 = 2*3*√2, or 6√2.
Next, note that 32 = 2*16, and that 16 is a perfect square. Therefore,
-5*√32 = -5*√2*√16, or -5*√2*4, or -20√2.
Combining these two results, we get:
6*√2 - 20√2, or -14√2