14. [-27, 0, 1.728, 125]
15. [ 18, 15, 13.8, 10]
16. [-3.9, 0, 1.56, 6.5]
17. [9, 0, 1.44, 25]
18. [12, 0, -4.8, -20]
19. [10, 1, 2.44, 26]
20. [64, 25, 14.44. 0]
21. [-22, -4, 3.2, 26]
Answer:
Option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
Step-by-step explanation:
Perfect square trinomial is an algebraic expression of three terms which can be combined into a squared binomial like (a+b)^2 = a^2 + 2ab + b^2.
From the given options, we can eliminate first two options because they have only two terms (they are not trinomials).
Checking 3rd option:- 16x² + 24xy + 9y²
16x² + 24xy + 9y² = (4x)² + 2(4x)(3y) + (3y)²
16x² + 24xy + 9y² = (4x + 3y)²
Checking 4th option:- 49x² - 70xy + 10y²
49x² - 70xy + 10y² = (7x)² - 2(7x)(5y) + 10y²
Hence, option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
Passes through (3, 0) and is perpendicular to 2x - y = 5
Turn our given equation into y=mx+b form.
2x - y = 5
Subtract 2x from both sides.
-y = -2x + 5
Divide both sides by -1.
y = 2x - 5
So, our slope is 2.
However, because our equation is perpendicular, we must find the negative reciprocal of 2.
Slope₁ = 2
Slope₂ = -1/2
y - y₁ = m(x - x₁) (3, 0)
Plug everything in.
y - 0 = -1/2(x - 3)
y = -1/2x + 3
~Hope I helped!~
Let's call the number of pages that Jen wrote "j".
then tom (t) wrote:
What we know:
j=10t
this means:
t=0.1 j
and j+t=396
for this it's practical to substitute j with 10 t:
10t+t=396
11t=396
we divide both sides by 11:
t=36
so tom wrote 36 pages, and Jen wrote ten times as much, or 360 pages (that's a lot!)