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3 years ago

What is the missing expression? x^ 8 + 3x ^5 = x^5(_____)

2 answers:

8 0

What you are doing here is simply factoring out the GCF. In this example that factor would be x^5. Once that is complete the missing expression would be x^(3)+3. (also I like your profile picture)

Stells [14]3 years ago

4 0

<span>x^ 8 + 3x ^5 = x^5(x^3 + 3)

answer: </span><span>c) x^3 + 3</span>

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50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

-1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

-1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

<u>Find y-coordinate:</u>

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0

3 years ago

A farmer has a piece of land with an area of 4 square yards. If a cow can graze grass at a rate of 2 square feet per hour, how l

Lunna [17]

Answer:

2 hours

Step-by-step explanation:

4 square yards to feet: 4*3 = 12ft

3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour

Time taken: 12ft/6ft per hour = 2 hours

8 0

2 years ago

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the s

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Are collinear points coplanar?

Anna35 [415]

collinear points are points in the same line, like

●-----------------●------------------------------------------●

and the line will always be contained by a plane, so since the line is in a plane, all points in it will also be in the same plane, and therefore be coplanar.

8 0

3 years ago

Given that cos(30°) = cos(45°)cos(15°) + sin(45°)sin(15°), it follows that cos(30°) =

mario62 [17]

Answer:

$cos(30\°) = cos(45\°-15\°)$