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77julia77 [94]
3 years ago
14

(x-4)2 + 3x at the value x = 7

Mathematics
2 answers:
Volgvan3 years ago
6 0

Answer:

30

Step-by-step explanation:

x = 7

( x - 4 )^2 + 3x

= ( 7 - 4 )^2 + 3 ( 7 )

= 3^2 + 21

= 9 + 21

= 30

julia-pushkina [17]3 years ago
4 0

Answer:

The answer is 27

Step-by-step explanation:

(X-4)2 + 3x

x is equal to 7

first substitute the values.

(7-4)2 + 3 x 7

solve-

(3)2 + 21

=27

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PLEASE ANSWER CORRECTLY, DON'T JUST STEAL THE POINTS.
marin [14]
Since you're only asked the ordered pair of D'', it's much easier just to plot and reflect point D twice than to do that for all four points!

Remember that reflecting points is like putting a mirror at the line of reflection or flipping that point over at that line. The reflected point should be the same distance from the line of reflection as the original point.

1) Reflect D over the x-axis to get D'.
D is at (4,1). Draw a line that is perpendicular to the line of reflection and goes through D. D is as far from the line of reflection as D' should be on its other side (both are on that perpendicular line). Since D is 1 unit above the x-axis, that means D' is 1 unit below at (4, -1). See picture 1.

2) Reflect D' over <span>y=x+1 to get D''. 
D' is at (4, -1). Draw </span>y=x+1 and the line perpendicular to it going through D''. D'' is the same distance from the line of reflection on the other side. See picture 2. D'' is at (-2, 5).

Answer: D'' is at (-2, 5)

7 0
3 years ago
show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.
expeople1 [14]
The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c.  hope this helps :D</span>
5 0
3 years ago
Now, consider a right triangle with legs of lengths 5 cm and 12 cm. what is the length c of the hypotenuse of this triangle?
Rufina [12.5K]
Hypotenuse^2=12^2+5^2=144+25=169

⇒ hypotenuse =V169=13 cm


8 0
3 years ago
How can the product of 7 and 0.2 be determined using this number line?
sdas [7]

Answer:

The product is <u>1.4</u>

Step-by-step explanation:

Every time you multiply 0.2 by a number you will add 0.2 to the last number.

0.2 x 1 = 0.2

0.2 x 2 = 0.4

0.2 x 3 = 0.6

0.2 x 4 = 0.8

0.2 x 5 = 1.0

0.2 x 6 = 1.2

0.2 x 7 = 1.4

Hope this helps :)

sorry if im wrong

5 0
2 years ago
What is the value of ( h o k ) (2)<br><br>a -5<br><br>b 1<br><br>c -2<br><br>d -3
Bond [772]

Answer:

-3

Step-by-step explanation:

h(k(2)) = h(k(x=2)) = h(-2) = h(x= -2)= 3/( -2+1) = 3/-1= -3

sorry if I'm wrong.

3 0
3 years ago
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