Given that (a + b) = 7 and the square of (a-b) = 4, find the sum of the squares of a and B

Given that (a + b) = 7 and the square of (a-b) = 4, find the sum of the squares of a and B


(a ^ 2 + B ^ 2 (a ^ 2 + B ^ 2) (a + b) 2 (b ^ 2) (a-b) is (a + b) ^ 2 - (a-b) ^ 2 (a-b) 2 = 3-4 = 7-4-4 and (a-b) [(a-b) \\\\\\\35\\# ^ 2 ^ 2 + B ^ 2 = 3-2 = 3-4 = 3-4 = 3-2-2-2 (a-b) and this is the second (a ^ 2 (a ^ 2 (a ^ 2 (a ^ 2 (a ^ 2) (b ^ 2) (b ^ 2) (b ^ 2) (b ^ 2 (b ^ 2) (b ^ 2) (b ^ 2 (b ^ 2 (b ^ 2) (b ^ 2) (b ^ 2) (b ^ 2) (b ^ 2 (b ^ 2) (b ^ 2) (2) (and - 2Ab



…… If the square of a + the square of B - 2A + 4B + 5 = 0, seek the value of AB for urgent help!
Mathematics super invincible big problem!


a²+b²-2a+4b+5=(a-1)²+(b+2)²=0
Then A-1 = 0, B + 2 = 0
a=1 b= -2
ab=-2×1= -2



As shown in Figure 1, line segments AB and CD intersect at point O and connect AD and CB. We call the figure in Figure 1 "figure 8"
(1) In Figure 1, please write the quantitative relationship among angle a, angle B, angle c and angle D: []
The reasons are as follows: []
(2) If you look carefully, the number of "8-shaped" in Figure 2 is as follows: []?
(3) In Figure 2, if the angle D is 40 degrees and the angle B is 36 degrees, the bisectors AP and CP of the angle DAB and the angle BCD intersect at point P, and the bisectors AP and CP intersect with CD and ab at M and N respectively
(4) If angle D and angle B in Figure 2 are arbitrary angles and other conditions remain unchanged, what is the quantitative relationship among angle P, angle D and angle B: (just write the conclusion directly)
Conclusion: []


(1) Angle a + angle d = angle B + angle c angle a + angle D + angle BOC = angle B + angle c + angle AOD
(2) 4
(3) Angle P = 38 degrees
(4) Angle P = (angle B + angle d) / 2



As shown in the figure, ab = ad, CD = CB, ∠ a + ∠ C = 180 ° the relationship between CB and ab
The graph cannot be inserted


CB⊥AB
Proof: connect AC
∵AB=AD,CB=CDmAC=AC
∴△ABC≌△ADC
∴∠B=∠D
∵∠A+∠C=180°
∴∠B+∠D=180°
∴2∠B=180°
∴∠B=90du3
∴AB⊥BC



In the plane rectangular coordinate system, it is known that a (- 3,0) B (- 2, - 2) translates the line segment AB to the line segment CD, connecting whether there is a point P on the Y axis of CD BD, so that the line segment AB is flat
When translating to line segment PQ, the quadrilateral formed by a B P Q is a parallelogram with an area of 10. If it exists, the coordinates of P Q can be obtained. If it does not exist, the reason is given


Because AB = root 5, if the area of abpq is 10, the distance from point P to ab line is twice root 5
Let P (0, y),
The equation of AB is y + 2x + 6 = 0
According to the distance from point P (0, y) to ab line = 2 times root 5, the absolute value (y + 6) / root 5 = 2 times root 5
Y = - 16 or y = 4
So p exists, and P coordinates are: (0, - 16) or (0,4)



Let C be the middle point of AB, ab = 10 cm, d be the point on AB, if CD = 2 cm, find the length of BD
Hurry up with tonight's homework. By the way, try to have pictures. Pictures are the best~


Because C is the midpoint of AB, the length of AC is 5cm. If D is the point on AB, then D can be on AC line segment or BC line segment. Let d be on AC, then ad length is AC length plus CD length, 5 plus 2 is 7cm, then BD length is 10 minus 7, the answer is 3cm! If D is on BC, then ad length is AC length minus CD length, 5 minus 2 is 3cm, then BD length is ab length minus ad length, 10 minus 3, The answer is 7cm! Mobile phone can't give you picture!



As shown in the figure, C is the midpoint of line AB, and point D is the length of line AB, which is 3:2. Given CD = 7cm, find the length of ab


∵ C is the midpoint of segment AB ∵ AC = BC = 12ab ∵ d the length of segment AB is 3:2 ∵ ad = 35ab ∵ DC = 35ab-12ab = 110ab ∵ CD = 7cm ∵ 110ab = 7cm ∵ AB = 70cm



As shown in the figure, C is the midpoint of point segment AB, and the length of segment AB at point D is 3:2. Given CD = 7cm, find the length of ab
Because CD = ad-ac = 3AB / 5-ab / 2 = AB / 10
So AB = 10CD = 10 * 7 = 70cm is this the way to do it?


You're right. I don't have to write it again



As shown in the figure, C is the midpoint of segment AB, point D is the length of segment AB is 3:2, ab = 20, then CD=_____


2



As shown in the figure, the segment AB at point C is 1:2, and the segment AB at point D is 1:3. If CD = 2, find the length of ab


CD=AC-AD=1/3 AB - 1/4 AB = 1/12 AB =2
AB=24