What is the first step on factoring a polynomial

1 answer:

vladimir1956 [14]4 years ago

5 0

Steps for Factoring a Polynomial: Step 1: If there is a common factor, factor out the GCF. Step 2: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.

Hope this helps!

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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

3 years ago

What area of the clock is not covered with clock face in square inches

Kay [80]

Hello again,
We know that the clock has rectangular shapes, and the clock face is circle.
Area of the clock is:
15×8=120 square inches
To find the area of the circle:
πr^2. However, we did not know the radius yet, but we had circumference of the circle which is 6 inches
C=2πr
6=2πr
Divided 2 from both side
3=πr
Divide π or 3.14 from both side
r≈1 inches
Area of the clock face is:
1×1×3.14
≈3.14.
To find the area of the clock that does not covered with clock face take:
120-3.14=116.86 square inches. Hope it help!

8 0

3 years ago

a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the

horsena [70]

Answer:

The 95% confidence interval for the mean score is:

$\mu$ ∈ $(67.73,\ \ 84.67)$

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is ${\overline {x}}$

Since the sample size is $27$ then we use the statistic $t_{\frac{\alpha}{2}}$ with $27-1 = 26$ degrees of freedom

The confidence interval for the mean is:

$({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})$