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kotegsom [21]
2 years ago
10

4x²-12x+9 = 5

Mathematics
1 answer:
kati45 [8]2 years ago
8 0

Answer:

x = 3/2 ± \sqrt{5} /2

Step-by-step explanation:

4x²-12x+9 = 5

Rearrange:

4x²-12x+4 = 0

Solve using the quadratic equation:

x = 3/2 ± \sqrt{5} /2  

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Help please.
Bumek [7]

Answer:

20 cm² & 80 cm²

Step-by-step explanation:

Ratio of areas = (ratio of sides)²

Ratio of sides: 2/4 = ½

Ratio of areas: (½)² = ¼

Areas are:

⅕(100) = 20

⅘(100) = 80

4 0
3 years ago
1. The midpoint of the segment joining points (a, b) and ( j, k) is: a. (j-a,k-b) b. ((j-a)/2,(k-b)/2) c. (j+a,k+b) d. ((j+a)/2,
harkovskaia [24]
1. The midpoint of the segment joining points (a, b) and ( j, k) is ((j+a)/2,(k+b)/2)

2. Let the coordinate of H be (a, b)
T(0, 4) = ((a + 0)/2, (b + 2)/2)
(a + 0)/2 = 0 => a + 0 = 0 => a = 0
(b + 2)/2 = 4 => b + 2 = (2 x 4) = 8 => b = 8 - 2 = 6
Therefore, the cordinate of H is (0, 6)

3. Point (-4, 3) lies in Quadrant II

4. Point (6, 0) lies on the x-axis

5. Any line with no slope is parallel to the y-axis

7. a is the value of the x-coordinate.
5a + 3 = 8
5a = 8 - 3 = 5
a = 5/5 = 1
a = 1

8. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => a = -5 and b = 7.
Therefore, its center point is (-5, 7)

9. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => r = 6.
Therefore, its radius is 6

10. If the equation of a circle is (x - 2)^2 + (y - 6)^2 = 4, the center is point (2, 6).
True

7 0
3 years ago
Read 2 more answers
What is the value of x?
Julli [10]

The answer is X = 19, hope this helps :)

5 0
3 years ago
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
Alla [95]

Answer:

2

x=40

Step-by-step explanation:

A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)

180=104 +36+x

180=140+x

180-140=x

40=×

4 0
2 years ago
Mr. King has 36 pair of shoes. 3/4 of them are gym shoes, how many of his shoes are gym shoes
Alex777 [14]

Answer:

The number of pair of gym shoes does Mr. king has is 27 pairs .

Step-by-step explanation:

Given as :

Total number of pairs of shoes does king has = 36 pairs

The number of gym shoes = \dfrac{3}{4} of the total pairs of shoes

Let The number of pair of gym shoes = n

<u>According to question</u>

The number of gym shoes = \dfrac{3}{4}  × the total pairs of shoes

Or, n = \dfrac{3}{4}  × 36

i.e n = \frac{3\times 36}{4}

Or, n = 3 × 9

∴   n = 27

So, The number of pair of gym shoes = n = 27 pairs

Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer

6 0
3 years ago
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