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Aleksandr [31]
3 years ago
13

Which of the following is a perfect square?A.) 115B.) 169C.) 154D.) 279

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

B (169)

Step-by-step explanation:

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To the nearest tenth, what is the y-coordinate for point A? 4.5 4.6 4.7 4.8
fomenos
the complete question is
<span>Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.
To the nearest tenth, what is the y-coordinate for point A?
A: 4.5
B: 4.6
C: 4.7
D: 4.8
see the attached figure

we know that
the equation of the circle is
(x-h)</span>²+(y-k)²=r²
(h,k) is the center---------> (h,k) is the point (0,0)
r=5 units
so
(x-h)²+(y-k)²=r²--------> (x-0)²+(y-0)²=5²------> x²+y²=25

substitute the value of x=-2 in the equation
(-2)²+y²=25------> y²=25-4------> y=(+/-)√21
the y coordinate of point A is positive----> see the picture
therefore
y=√21-----> 4.58-----> y=4.6

the answer is
the y-coordinate for point A is 4.6


3 0
3 years ago
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3 times negative 2 subtract 5 over negative 4
Nonamiya [84]
1/4 should be the answer :)
5 0
3 years ago
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Use the distributive property to find an expression equivalent to <br> 2x(x+7-(3x+1)
STatiana [176]

Answer:

-4x² + 12x

Step-by-step explanation:

2x(x+7-1(3x+1)) = 2x(x+7-3x-1)

= 2x² + 14x - 6x² - 2x

= -4x² + 12x

8 0
3 years ago
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(b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation sati
Fantom [35]

Answer:

A'(t) = rA(t)

Step-by-step explanation:

Given

A(t) \to Amount

Required

The differential equation

The equation for the amount is:

A(t) = A_0 * e^{rt}

Where:

A_0 \to initial amount

r \to rate

t \to time

DifferentiateA(t) = A_0 * e^{rt}

A'(t) = A_0 * r * e^{rt}

So, we have:

A'(t) = rA_0 * e^{rt}

From the question, we have: A(t) = A_0 * e^{rt}

So, the equation becomes

A'(t) = rA(t)

3 0
2 years ago
Please help me with these 2 questions. I am not good with angles
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They are 1st one is vertical angles, second one is complementary
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