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poizon [28]
3 years ago
5

Can someone please please Help me with this

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
The answer would be A.
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Is ΔABC~ ΔDEF? If so, identify the similarity postulate or theorem that applies.
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dolphi86 [110]
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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
Help me solve this please
LuckyWell [14K]

9514 1404 393

Answer:

  shaded/square = (50π cm²)/(400 cm²) = π/8

Step-by-step explanation:

The quarter circle has area ...

  A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²

The half-circle has area ...

  A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²

Then the area of the shaded portion is ...

  shaded = 100π cm² -50π cm² = 50π cm²

__

The area of the square is ...

  A = s² = (20 cm)² = 400 cm²

Then the ratio of interest is ...

  shaded/square = (50π cm²)/(400 cm²) = π/8

5 0
4 years ago
What is the slope of (-1,-7) (1,5)
vodka [1.7K]
To find slope, use the form y1 - y2/x1 - x2. Using these points, that would look like:
-7 - 5/-1 - 1 or -12/-2, which simplifies to 6.
The slope is 6. Hope this helps with slope.
7 0
3 years ago
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