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Leya [2.2K]
2 years ago
15

Determine if the card below represents a reflection over the x-axis or a

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

Reflection over y-axis

Step-by-step explanation:

We know that with a reflection of the x-axis, we flip the value of the y value

But since the y-values in Q3 and Q4 are both negative, we know that can't be the case

So it has to be a reflection over the y-axis where the x-values are flipped

Hope this helps

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A delivery truck can transport packages weighing at most 3,800 pounds(lbs) and with a volume of no more than 400 cubic feet (ft^
Makovka662 [10]
Let's approach this problem by slowly eliminating choices.

First consider the keyword "at most" and "no more than". This means that the inequality should be less than or equal to the constant value stated. This will automatically eliminate two choices with the greater than symbol favoring the variables - choices A and D.

Next we associate the right constants to the right coefficients of variables. The two kinds of weight the truck transports are 30 and 65 lbs, and we know that this should not exceed 3,800 lbs. This is therefore our first inequality. The other inequality is for the volume. The combinations of the two volumes 4 and 9 cubic feet should not exceed 400 cubic feet when transported.

If you try to construct the inequality and miss it among the choices, don't worry! Let's try doing some simplifications first and see if it matches either B or C.

After simplification you can get 6x+13y \leq 760 from dividing the equation by 5 and 4x+9y \leq 400 for leaving it as it is.

Looking carefully, we can see that this is equivalent to option B.

ANSWER: B.
7 0
3 years ago
"Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.
Contact [7]
A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \  x\\5^2+10^2 \ \textgreater \  x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \  15\\ x^2 \ \textless \  125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \  15\\ x \ \textless \  \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \  10\\ 5^2+x^2 \ \textgreater \  10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \  5\\ x^2 \ \textgreater \  75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \  5\\ x \ \textgreater \  \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}

3^o\\x\leq5\leq10\\\\\left\{\begin{array}{ccc}x +5 \ \textgreater \  10\\ x^2+5^2 \ \textgreater \  10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x\in\O}\\\\Answer:\boxed{x=9\ or\ x=11}\to your\ answer:\boxed{\boxed{x=11}}
8 0
3 years ago
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At the city museum, child admission is $6.60 and adult admission is $9.80. On Tuesday, four times as many adult tickets as child
Svet_ta [14]
See photo for solutions

8 0
2 years ago
1. Six less than n is less than - 4. how would o write this equation <br>​
posledela

Answer:

n - 6 < -4

Step-by-step explanation:

6 being less than n hints at a subtraction equation, n coming first as the value of the constant is currently unknown. 'Less than -4' hints that -4 is the value on the other side of the inequality, < acting as the 'equal' sign in this sense.

6 0
3 years ago
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Can anyone please help with my last math problem pls all of my assignments gotta be turned in by tonight so I would really appre
Evgen [1.6K]

5 points is not enough

3 0
3 years ago
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