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Goryan [66]
3 years ago
13

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11-6x8+x3-4x+3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 - 6x8 + x3 - 4x + 3? ... According to the Rational Root Theorem, the following are potential roots of f(x) = 60x² - 57x - 18.
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What is the area of this triangle?
Diano4ka-milaya [45]

ANSWER

56.1 square inches.

EXPLANATION

The area of this triangle can be calculated using the formula,

Area =  \frac{1}{2} ab \sin( C)

where a=8in.

b=14.2 in.

and C=99° is the included angle.

We plug in these values to obtain,

Area =  \frac{1}{2} \times  8 \times 14.2 \sin( 99 \degree)

Area = 56.1007

We round to the nearest tenth to get,

56.1 sq. inch

6 0
3 years ago
The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.
pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

m_{1}\times m_{2}=-1

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

m_{normal} \times m_{tangent}=-1

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

m=\frac{y_2-y_1}{x_2-x_1}

         =\frac{8-4}{-6+6}

          = ∞

Slope of the normal is infinity and hence slope of tangent is -1/∞ = 0

Hence m=0

Putting m=0 in equation 1 we get:

c = 8

The equation of tangent line at (-6,8) is:

y = 8

6 0
3 years ago
X + (-9) + 9 = 8 solve the equation using mental math
Studentka2010 [4]

Answer:

X=8 simplify equation

Step-by-step explanation:

-9+9=0

8 0
3 years ago
the coordinates of the endpoints of BC are B(3,2) and C(8,17). Point D is on BC and divides it such that BD:CD is 3:2. What are
eduard
Snsjdnsndnxnendndnfbdnxndjdnxjxhsbsbshxhxhdhd
3 0
3 years ago
Solve |p + 2|= 10<br> (-12)<br> {-8. 8)<br> {-12, 8)
Firdavs [7]

Answer:

i belive p= 8

Step-by-step explanation:

10-2= 8

8+2 is 10 so p +2 woyld =10

3 0
3 years ago
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