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mariarad [96]
3 years ago
7

Rewrite the equation to identify the center of the circle and the radius.

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0
Standard Form : ( x - 1 ) ^2 + ( y + 3 ) ^2 = 5
Center of the circle : ( 1 , -3 )
Radius: line mark over 5
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Consider the quadratic equation x2=4x-5. How many solutions does the equation have
Norma-Jean [14]
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
3 0
4 years ago
Read 2 more answers
5. A boy gets 29 marks out of 50 in his maths ex-<br> am. What percentage did he score?
Alecsey [184]

Answer:

58%

Step-by-step explanation:

29 / 50  * 100% = 58 %    ( rather pathetic score, huh?)

7 0
2 years ago
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Please help! Question in image below:<br> Answers also below:
antiseptic1488 [7]

Answer:

11, 18, 25, 32, .....

Option D

Step-by-step explanation:

The formula for the nth term of an AP is a+(n-1)d

a+(n-1)d=a+(n-1-1)d+7

a+nd-d=a+nd-2d+7

d=7

As the common difference is 7.

The only option given which is in an AP is the 4th option

8 0
3 years ago
This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume of the triangular prism. Find th
NISA [10]

Answer:

The volume of the triangular prism: 59.2 ft^{3}

The value of the concrete used is: 16*4 = $64

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo

My answer:

As we know that, the formula to find out the volume of the triangular prism is:

V = \frac{1}{2} a*b*h when h is the height and a&b are the length of the two square edges. So we have:

  • V = \frac{1}{2}*4*4*7.4 = 59.2 ft^{3}

To find the concrete used in the ramp if the cost of concrete is $ 4.00 per cubic foot, we need to know the area of the ramp, which is:

S = 4*4 = 16 ft^{2}

Hence, the value of the concrete used is: 16*4 = $64

8 0
3 years ago
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A company sells fruit smoothies in two sizes: 6 ounces and 12 ounces. You know that a 6-ounce bottle contains 96 milligrams of s
galina1969 [7]

Answer:

I believe it would be 192 milligrams.

Step-by-step explanation:

They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.

3 0
3 years ago
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