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sergeinik [125]
3 years ago
8

The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F

ind the two numbers.

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

(x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

x+2=44+2=46

therefore

The numbers are 44 and 46

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Answer:jm40103

Step-by-step explanation:

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3 years ago
PLEASE HELP ASAP PLEASE
Bond [772]

Answer:

Yo

So, if ya wanna solve this question and of course questions alike, ya gotta pay attention to the graph. mean All of these parabolic chart have the domain of R

Step-by-step explanation:

So there ya go

D=R

and now bout the range ya gotta find the vertex, which is:

x = \frac{ - b}{2a}   \:  \:  y =  \frac{Δ}{4a}

now pay attention

X=2/–2=–1

y=–(–1)²–2(–1)+3=4

Now the highest point of your parabolic chart is 4 and the lowest point is endless which is (–♾,4]

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3 years ago
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At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am
Natalija [7]
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4 0
3 years ago
1. Write the following radicals in simplest form<br> a) -3√288<br><br><br><br> b) 5√320
jeka57 [31]
A) -3√288=-3√(144*2)=-3√144<span>√2=-3*12</span><span>√2=-36</span><span>√2

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const2013 [10]

Answer:

Slope: -\frac{3}{4}

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Equation: y=-\frac{3}{4}x+7

Step-by-step explanation:

The slope is found by doing the equation \frac{rise}{run}. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).

This gives us a slope of -\frac{3}{4}.

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

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7 0
3 years ago
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