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3 years ago

How to find the zeroes by factoring

Mathematics

1 answer:

Rashid [163]3 years ago

7 0

Your set the equation equal to 0 and you start factoring it, if it doesn’t factor out then you use the quadratic formula but if you do that then set it equal to “X”, not equal to 0

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Pleas help me out here.

Amiraneli [1.4K]

Answer:

A and E

Step-by-step explanation:

The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).

It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.

The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.

Because it is not a function, Options B, C, and D are invalid answers.

Hence, the correct answers are Options A and E.

4 0

3 years ago

What makes two angles exterior versus interior ?

astraxan [27]

Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.

4 0

3 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

HELP MUTIPLE CHICE IM BEING TIMED GEOMETRY PICKING SOMEONE FOR Brainliest

ollegr [7]

Answer:

1. SSS

2. Q and S

3. 20

Step-by-step explanation:

1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Triangles NLM and WUV are similar by SSS similarity, because

$\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}$

2. Completed steps:

a) draw a circle with center at P and radius r

b) draw a circle with center at Q and radius r

c) using compass, measure the distance between two points of intersection of the first circle with angle rays

d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S

Last step: connect points Q and S, line QS will be parallel to line r.

3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.

AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .

By AA similarity, triangles VMN and VUT are similar, thus

$\dfrac{VM}{VU}=\dfrac{VN}{VT}\\ \\\dfrac{VM}{VM+8}=\dfrac{49-14}{49}\\ \\49VM=35(VM+8)\\ \\49VM=35VM+280\\ \\49VM-35VM=280\\ \\14VM=280\\ \\VM=20\ units$

5 0

3 years ago

3. Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901

Jet001 [13]

Answer:

Martin Drove about 60,000

Martin Drove exactly 53,558

Step-by-step explanation:

90,000 - (20,000 +10,000) = x

60,000 = x

86,456 - (24,901 - 7,997) = x

53,558 = x

8 0

3 years ago