Which factorization is equivalent to 4y2 − 17y + 15?

Write the standard form of the equation of a circle with radius 10 and center (9,3)

gladu [14]

Answer:

$(x-9)^{2}+(y-3)^{2} =100$

Step-by-step explanation:

The standard form formula for a circle equation is $(x-h)^{2}+(y-k)^{2} =r^{2}$ , where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

$(x-h)^{2}+(y-k)^{2} =r^{2}$

$(x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100$

8 0

2 years ago

Add or subtract. Write the result in the form a+bi

STALIN [3.7K]

Number 1: (-1+2i)+(6-9i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-1+6\right)+\left(2-9\right)i\\=5-7i$

Number 2: (3-3i)-(4+7i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(3-4\right)+\left(-3-7\right)i\\Refine\\=-1-10i$

Number 3: (-5+2i)+(-2+8i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-5-2\right)+\left(2+8\right)i\\Refine\\=-7+10i$

8 0

2 years ago

(x2 - 2)(x + 1) = (x^)(5x)+(x2)() + (-2)(5x) + (-2)(1) is an example of:

OLga [1]

Answer:

B

Step-by-step explanation:

It is complex conjunction

3 0

2 years ago

What’s the answer and can somebody explain how to solve it

inessss [21]

The area of a trapezoid is calculated using the formula: 1/2(a + b)h. The diagram shows that base number one (a) is 8.5 dm and base number two (b) is 26.5 dm. The height is 9 dm. Substitute these values into the formula.

1/2(8.5 + 26.5) * 9, add 8.5 and 26.5 inside the parentheses.

1/2(35) * 9, you can now solve from left to right. Multiply 1/2 and 35.

17.5 * 9, multiply to get your final answer. The area of the trapezoid is C. 157.5 dm^2.

3 0

2 years ago

Kristin's baby gained 1oz.per day in May. Approximately how many pounds did they gain for the month .

Sedbober [7]

Answer:

31oz

Step-by-step explanation:

3 0

3 years ago