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4 years ago

Which quadratic equation crosses the x-axis at 4 and -9?

1 answer:

3 0

If it crosses at r1,r2 then it factors to f(x)=(x-r1)(x-r2)
crosses at 4 and -9
factors to f(x)=(x-4)(x-(-9))=(x-4)(x+9)=x²+5x-36

answer is C

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Find the area of the quadrilateral whose vertices

Karolina [17]

Answer:

How do we calculate the area of this quadrilateral using the coordinates of the four vertices? The answer is simple. We divide the quadrilateral in two triangles (using either of the diagonals), calculate the (positive value of) the areas of each triangle, and add these values to obtain the total area.

Step-by-step explanation:

jayfeather friend me

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3 years ago

(a) Name the minor arc __________ Name the major arc ___________

iragen [17]

Answer:

Part a) minor arc: XY; major arc: XVY

Part b) $248\°$

Part c) The tangent line is UV and the secant line is XY

Part d) $UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

Step-by-step explanation:

Part a) we know that

The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.

The sum of major and minor arcs is the whole circle, 360°

In this problem, possible major arcs are

VYX, VXY, XVY

and the corresponding minor arcs are

VX, VY, XY

Part b) we know that

The sum of major and minor arcs is the whole circle, 360°

Let

x------> measure minor arc

y-------> measure of major arc

$x+y=360\°$

we have

$x=112\°$

substitute

$112\°+y=360\°$

$y=360\°-112\°=248\°$

Part c) we know that

A tangent line intersects a circle at exactly one point.

In this problem

The tangent line is UV

A secant line intersects a circle in two points.

In this problem

The secant line is XY

Part d) we know that

The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal

$UV*UV = UX*UY$

$UV^{2} = 9*(9+11)$

$UV^{2} = 180$

$UV=\sqrt{180}\ units$

Simplify

$UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

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4 years ago

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?

dybincka [34]

It is D i believe because the formula for finding momentum is momentum= mass times velocity

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2 years ago

An account earns annual simple interest. Interest earned: $84 principal:$600 interest rate:7% find the time ?

Helen [10]

Simple Interest , I = PRT/100

Where P = Principal, R = Rate, T = Time in years

Time, T = (100*I)/(P*R)

T = 100* 84 / (600 * 7) Use your calculator

T = 2

Time is 2 years.

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4 years ago

The faces of a cube are numbered 1-6. if the cube is tossed once what is the probability that a prime number or a number divisib

Bad White [126]

Answer:

Prime Numbers 2, 3, 5

Divisible by 2 - 2, 4, 6

One is NOT a prime number.

So, there are 5 out of 6 numbers that are even or are prime.

This leaves only 1 number that isn't.

So, the probability is 5/6 that the number rolled will be prime or even.

Step-by-step explanation:

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4 years ago