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3 years ago

What is the reason for number 4 and 5?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer:

4. QT and RT are 2 sides of an equilateral triangle.

5. Congruent by SAS

Step-by-step explanation:

All sides of an equilateral triangle are equal in length.

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Please help me with fuction problems.

DerKrebs [107]

1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.

2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.

3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.

4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).

5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.

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3 years ago

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Please help!!!! the question is in screenshot

andreev551 [17]

Answer:

$-\cos nw_0t$

Step-by-step explanation:

We can use the double angle identity for sine.

$\sin (A+B)=\sin A \cos B+\sin B\cos A$

The given expresion is

$\sin (nw_0t-90)$

We apply the identity to get:

$\sin (nw_0t-90)=\sin nw_0t \cos 90-\cos nw_0t \sin 90$

We simplify to obtain;

$\sin (nw_0t-90)=\sin nw_0t (0)-\cos nw_0t (1)$

This simplifies to:

$\sin (nw_0t-90)=-\cos nw_0t$ The correct answer is D

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3 years ago

Raul has 6 shoeboxes on his bookshelf. If he has 9 toy robots in each shoebox, how

Leviafan [203]

Raul has 54 toy robots

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3 years ago

To order a class ring, students must decide on a gold, silver, or white gold band and one of 18 stones. They must also choose fr

Alex787 [66]

multiply the 3 choices together

3*18*20 = 1080

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3 years ago

Can someone please help I need a clear explanation on how to solve this equation.

nikitadnepr [17]

B = amount of students who chose Bulldog

n = amount of students who chose lion

t = amount of students who chose tiger

so.. "t" chose tiger, ok

"Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus

b = 4t

"Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion

n = 2t

now, we know a total of 273 students were surveyed, thus

 $\bf \begin{cases}
b+n+t=273\\
\boxed{4t}+\boxed{2t}+t=273
\end{cases}
\\\\\\
7t=273\implies t=\cfrac{273}{7}\impliedby \textit{that many chose \underline{tiger}}$

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4 years ago

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