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2 years ago

5 and -7 are the solutions to (x-5) (x+7) =12

Mathematics

1 answer:

konstantin123 [22]2 years ago

8 0

Answer: No

Step-by-step explanation:

$(x-5)(x+7)=12$

Replace x for 5 and -7 separately.

$(5-5)(5+7)=12\\0(12)=12\\0=12$

$(-7-5)(-7+7)=12\\-12(0)=12\\0=12$

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how.can you write the prime factorization and find the greatest common factor and the least common multiple of two numbers

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Step-by-step explanation: you just need to find the greatest factors and least multiple then do it to two numbers

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2 years ago

Y + 12 = -26 thank you if you answer me

tia_tia [17]

Answer:

-38

Step-by-step explanation:

1. Isolate y to one side.

y+12=-26

subtract 12 to both sides

y=-38

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2 years ago

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Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

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2 years ago

An airplane takes off at 12 1/2 miles south of a city and flies due north at a constant speed of 170 mph. What is the planes pos

stealth61 [152]

41 hour = 60 minutes

45 min / 60 min = 0.75 hour

170 mph * 0.75 hr = 127.5 miles flown

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the plane is 115 miles north of the city

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2 years ago

Is 0.3 equal to 1/3, or 3/10?

Stolb23 [73]

Answer: 3/10

3/10 = 0.3

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2 years ago

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