MATHEMATICS HIGH SCHOOL

What shape is produced when slicing a right rectangular pyramid perpendicular to the base?A. rhombus

B. triangle

C. square

D. rectangle

Answers

Answer 1

Answer:

I believe the answer is B. Triangle

Answer 2

Answer:

the answer is B. triangle

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20pts What is the distance between (7, 3, 4) and (5, 2, 9)?

Really need help!!!

Answers

To find the distance between two 3d points, square the difference of the x, y, and z points. Then, sum them and take the square root.
Distance=√(x2−x1)^2+(y2−y1)^2+(z2−z1)^2

Replace x^1,x^2,y^1,y^2,z^1, and z^2 with the corresponding values.
Distance=√((5)−(7))^2+((2)−(2))^2+((9)−(4))^2

Simplify √((5)−(7))^2+((2)−(2))^2+((9)−(4))^2
calculator....

Distance= √29

The distance between (7,2,4) and (5,2,9) is √29.

√29≈5.38516481

A blood bank needs 5 people to help with a blood drive. 18 people have volunteered. Find how many different groups of 5 can be formed from the 18 volunteers.

Answers

Hence, the different groups of $5$ can be formed from the $18$ volunteers is

$^(18)C_5=205632$ .

What is the permutation and combination?

Permutation and Combination form the principles of counting and they are applied in various situations.

A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.

Here given that,

A blood bank needs $5$ people to help with a blood drive. $18$ people have volunteered.

So,

$^nC_r=(n!)/(r(n-r)!)$

Here $n=18, r=5$

Then

$^(18)C_5=(18!)/(5(18-5)!)\n\n^(18)C_5=(18!)/(5(13)!)\n\n^(18)C_5=((18)(17)(16)(15)(14)(13))/(5(13))\n\n^(18)C_5=((18)(17)(16)(15)(14))/(5)\n\n^(18)C_5={(18)(17)(16)(3)(14)}\n\n^(18)C_5=205632$

Hence, the different groups of $5$ can be formed from the $18$ volunteers is

$^(18)C_5=205632$ .

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Answer:

u can have max of 3 with remainder of 3

Step-by-step explanation:

Find the area of a triangle that has a base of 5 in and a height of 3 3/4 in

Answers

Remember:

$3(3)/(4)=(15)/(4)$

Area of a triangle

$A=(1)/(2).b.h\n \n A=(1)/(2)*5*(15)/(4)=(75)/(8)=9(3)/(8) \ in^2$

$Area= (bh)/(2) \n \n 5*3.75=18.75 \n \n (18.75)/(2) = 9.375 \n\n\boxed{9.375}$

Find the value of x so that lines l and m are parallel.

Answers

Final answer:

The value of x that will make the given lines parallel is 11. This is determined by setting up and solving the equation formed by setting the two given angles equal to each other.

Explanation:

In this question, you are provided with the two alternate interior angles formed by the two lines l and m that are supposedly parallel. We know that in the case of parallel lines, alternate interior angles are equal.

Therefore, for the lines l and m to be parallel, the equality 2x+22 = 4x must hold.

Let's solve this equation step by step:

Subtract 2x from both sides: 22 = 2x
Divide both sides by 2: x = 11

So, the value of x that makes lines l and m parallel is 11.

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$4x+2x+22=180\n\n6x=158\n\nx=(158)/(6)=(79)/(3)$

Find the highest common factor (HCF) of 12x^12 and 16x^16

Answers

Answer:

Step-by-step explanation:

To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to factor both expressions.

12x^12 = 2^2 * 3 * (x^2)^6

16x^16 = 2^4 * (x^2)^8

The common factors of 12x^12 and 16x^16 are 2^2 and (x^2)^6. To find the HCF, we take the product of these common factors:

HCF = 2^2 * (x^2)^6 = 4x^12

Therefore, the highest common factor (HCF) of 12x^12 and 16x^16 is 4x^12.

Final answer:

To find the HCF of 12x^12 and 16x^16, break down the terms into prime factors and take the lowest exponent for each common prime factor.

Explanation:

To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to determine the largest number or expression that divides both 12x^12 and 16x^16 without leaving a remainder.

First, let's break down the terms into their prime factors:
12x^12 = 2^2 * 3 * (x)^12
16x^16 = 2^4 * (x)^16

Next, compare the prime factors and take the lowest exponent for each prime factor. In this case, the common factors are 2^2 and (x)^12. Multiplying these together gives us the HCF: 4x^12.

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Which of the following is the function representing the graph below? graph begins in the third quadrant near the line y equals negative 3 and increases slowly while crossing the ordered pair 0, negative 2. When the graph enters the first quadrant, it begins to increase quickly throughout the graph.f(x) = 4x
f(x) = 4x − 3
f(x) = 4x + 3
f(x) = 4(x + 3)

Answers

Answer:

f(x) = 4^x -3

Step-by-step explanation:

All of the listed functions are linear functions with a constant slope of 4. None of them goes through the point (0, -2).

So, we assume that there is a missing exponentiation operator, and that these are supposed to be exponential functions. If the horizontal asymptote is -3, then there is only one answer choice that makes any sense:

f(x) = 4^x -3

_____

The minimum value of 4^z for any z will be near zero. In order to make it be near -3, 3 must be subtracted from the exponential term.

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Giselle graphs the function f(x) = x^2. Robin graphs the function g(x) = –x^2. How does Robin’s graph relate to Giselle’s?Robin’s graph is a reflection of Giselle’s graph over the x-axis. Robin’s graph is a reflection of Giselle’s graph over the y-axis. Robin’s graph is a translation of Giselle’s graph 1 unit down. Robin’s graph is a translation of Giselle’s graph 1 unit left.