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Shkiper50 [21]
3 years ago
14

Identify the coordinates that result when the point (−4, 5), is translated 8 units right and 3 units down. HELP ASAP!

Mathematics
2 answers:
Talja [164]3 years ago
8 0

Answer:

(4,2)

Step-by-step explanation:

We are given that a point (-4,5).

We have to find the value of coordinates of a point when the given point is translated 8 units right and 3 units down.

Translation rule :(x,y)\rightarrow (x-4,y-3)

By this rule

x=-4+8=4

y=5-3=2

Hence, the coordinates of point is (4,2).

pochemuha3 years ago
3 0

Answer:

The answer is (4,2)

Step-by-step explanation:

in the point (-4,5) X=-4 AND Y=5

so if you move 8 units right, the X increases by 8(because the  the x axis is left and right) so X transform into 4= -4+8=4

With Y(the y axis is up and down) whe u go 3 units down un decrease the number so Y transforms into 2== 5-3=2

The new coordiantes are(4,2)

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Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
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<u><em>Answer:</em></u>

The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec

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<u>The equation that relates velocity, distance and time is:</u>

velocity = \frac{distance}{time}

<u>This means that:</u>

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<u>In the given, we have:</u>

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distance = velocity * time

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