Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.
In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.
Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.
Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.
Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.
The answer is congruent. I hope this helps :)
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
58 because is 8 so 9 x8 is 9907 I’m math so answer :5
Answer:
The system of equations =
25 + 0.05x = 12 + 0.09x
The number of stickers where the cost of both printers to be equal is 325 stickers
Step-by-step explanation:
Let the number of stickers = x
Printer 1
Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.
$25 + $0.05× x
25 + 0.05x
Printer 2
Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.
$12 + $0.09 × x
12 + 0.09x
We equate both equations together
The system of equations =
25 + 0.05x = 12 + 0.09x
Collect like terms
25 - 12 = 0.09x - 0.05x
13 = 0.04x
x = 13/0.04
x = 325 stickers
Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers
Answer:
t = 6/5
Step-by-step explanation:
Step 1: Define
k(t) = 10t - 19
k(t) = -7
Step 2: Substitute and Evaluate
-7 = 10t - 19
12 = 10t
t = 6/5
