Answer:
Step-by-step explanation:
From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e ([tex]x_o, y_o, z_o[/tex]) and are parallel to [tex]\dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}[/tex]
The parallel vector to the line i + zj+k = ai + bj + ck
Hence, the equation for the line is :
[tex]x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct[/tex]
x = 4 + t
y = -5 + 2t
z = 2 + t
Thus, x, y, z = ( 4+t, -5+2t, 2+t )
The symmetric equation can now be as follows:
[tex]\begin {vmatrix} x = 4+ t \\ \\ \dfrac{x-4}{1} = t \begin {vmatirx} \end {vmatrix}[/tex][tex]\begin {vmatrix} y = - 5+2t \\ \\ \dfrac{y+5}{2} =t \end {vmatrix}[/tex][tex]\begin {vmatrix} z =2+t \\ \\ \dfrac{z-2}{1} =t \end {vmatrix}[/tex]
∴
[tex]\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}[/tex]
replace the values of m and n to show the soulutions of thie equation,
x2+6x-5=0
2. You need to buy grass seed for a new lawn. The lawn will cover a rectangular plot that is 60 feet by 90 feet. Each ounce of grass seed will cover 120 square feet. a. How many ounces of grass seed will you need to buy?
Answer:
45 oz
Step-by-step explanation:
first you need to find the are of the yard. To do that you multiply the length by the width: 60x90=5400 feet
next you divide by 120: 5400/120=45
therefore, you need to buy 45 ounces of grass seed.
A cone has a volume of 180mm^3. If the height and radius of the cone are equal in length, find the radius r in mm. Round your answer to two decimal places
Answer:
r = 5.56 mm
Step-by-step explanation:
vol of cone = 1/3 π r² h
where
vol = 180 mm³
h = r
find r
plugin values into the formula:
180 = 1/3 * π r³
r³ = (180 * 3) / π
r = ∛171.9
r = 5.56 mm
Answer:
radius = 5.56 mm
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equations is x-y=6
Answer:
m = -1
Step-by-step explanation:
First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept
x-y = 6
subtract x from each side
-y = -x+6
Multiply each side by -1
y = x-6
The slope is 1
Perpendicular lines have slopes that multiply to -1
m * 1 = -1
m = -1
The slope of the perpendicular line is -1
What is the simplified value of the expression below? 8*(-3)
Answer:
-24
Step-by-step explanation:
The parentheses means you have to multiply the 2 numbers
Answer:
-24
Step-by-step explanation:
A square and a regular hexagon can intersect in....
A) Triangle
B) Rectangle
C) Pentagon
D) A Line Segment
Answer:
D) A Line Segment
Step-by-step explanation:
pentagon. is the answer for this one
Eight friends bought a large order of wings. Each of them ate 9 wings. How many total wings were in the order?
Answer:
72 wings
Step-by-step explanation:
[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]
Cross Multiply
[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]
The order came with 72 wings. 72 divided by 9=8, 8 times 9=72
What is the value of r in the equation 3r − 6 = 18?
6
8
18
24
Answer:
8
Step-by-step explanation:
3 [tex]x[/tex] 8 = 24
24-6=18
so its 8
235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp? PLS DO IT QUICK
Answer:
Number of girls = 90
Number of boys = 125
Number of Adults = 20
Step-by-step explanation:
Let us represent:
The number of girls = g
The number of boys = b
Number of Adults = a
235 people are at RSM summer camp.
Hence,
g + b + a = 235 .......Equation 1
There are 35 more boys than girls, and 70 fewer adults than girls.
b = g + 35
a = g - 70
Hence we substitute g + 35 for b and g - 70 for a in Equation 1
g + b + a = 235 .......Equation 1
g + g + 35 + g - 70 = 235
3g + 35 - 70 = 235
3g - 35 = 235
3g = 235 + 35
3g = 270
g = 270/3
g = 90
Hence, there are 90 girls in the party.
Number of boys is calculated as:
b = g + 35
b = 90 + 35
b = 125
Number of Adults is calculated as:
a = g - 70
a = 90 - 70
a = 20
How many people of each group are at the camp?
Number of girls = 90
Number of boys = 125
Number of Adults = 20
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
Order the numbers in each list from least to greatest
-5,-7,0,-1
A. 0,-1,-5,-7
B. -1,-5-7,0
D. -7,-1-5,0
C. 7,-5-1-0
I really need help with this question
Answer:
-7,-5,-1,0
Step-by-step explanation:
The reason behind this is because if you think about it -7 is small number due to it being in the other side of the number line, and same goes with -5 and -1
Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Using number sets, it is found that the set of dense numbers is composed by: rational and irrational numbers
---------------
Numbers can be classified as:
Whole numbers: All positive numbers and 0, so: {0,1,2,...} Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1. Real numbers: Rational plus irrational.---------------
A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.A similar problem is given at https://brainly.com/question/10814303
Solve each system of equations.
1.
2x – 3y = 3
- 4x + 6y = -6
Answer:
First one: x= -1/2
Second one: x= 1/4
Can you please help me with this please and i will give you a branlist please help me thank you
Answer:
zx
Step-by-step explanation:
Which expression is equivalent to StartRoot negative 80 EndRoot? Negative 4 StartRoot 5 EndRoot Negative 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot
Answer:
(4√5)i
Step-by-step explanation:
Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.
Complex numbers can also be graphed on the complex plane.
√(-80) = √(-1) × √(80)
But since √(-1) = i
√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i
√(-80) = (4√5)i
Answer:
C) 4 Square Root 5 i
Step-by-step explanation:
100% on edge. When your wrist like this, you don't check the forecast
Every day it's gon' rain, yeah
Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)
Answer:
[tex]=\left(-\frac{19}{2},\:-2\right)[/tex]
Step-by-step explanation:
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)[/tex]
which are possible names for the angle
Answer:
[tex] < JHP \\ < H[/tex]
Step-by-step explanation:
[tex] < [/tex]
Note the letter in the number carries the angle I
sign.
According to the diagram, H is the angle
Answer:
The answer to this one is <JHP and <H
Step-by-step explanation:
For the EOQ model, which of the following relationships is incorrect?
a. As the order quantity increases, the number of orders placed annually decreases.
b. As the order quantity increases, annual holding cost increases.
c. As the order quantity increases, annual ordering cost increases.
d. As the order quantity increases, average inventory increases.
Answer: As the order quantity increases, annual ordering cost increases
Step-by-step explanation:
The Economic Order Quantity (EOQ) is simply referred to as the amount of units that should be added by a company to its inventory with each order in order to minimize total inventory costs such as order costs, holding costs, and shortage costs.
The incorrect option is that "as the order quantity increases, annual ordering cost increases". It should be noted that ordering costs are simply the expenses that are incurred in order for an order to be created and processed to a supplier. It should be noted that as the ordering quantity increases, it doesn't mean that the annual ordering costs also increase.
Add [ -6 + -2 +2] + [-3 + 2 +1]
Answer:
-6Step-by-step explanation:
[tex][ -6 + -2 +2] + [-3 + 2 +1]\\[/tex]
Follow the PEDMAS order of operation
[tex]\\\mathrm{Calculate\:within\:parentheses}\:\left[-6-2+2\right]\::\quad -6\\=-6+\left[-3+2+1\right]\\\\\mathrm{Calculate\:within\:parentheses}\:\left[-3+2+1\right]\::\quad 0\\=-6+0\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-6+0\:\\:\quad -6[/tex]
Answer:
-6
Step-by-step explanation:
256 over the square root of 256 select all that apply A: Rational B: Integer C: Whole D: Real
Answer:
A:rational hope this helps mark brainlest
Step-by-step explanation:
The left and right page numbers of an open book are two consecutive integers whose sum is 533. Find the page numbers
Answer:
The page numbers are 266 and 267
Step-by-step explanation:
I divided 533 by 2
Then get 266.5
Then guessed and checked which pages around that value added up to 533
and you get pages 266 and 267
Shawn has a piece of paper that is 26 cm long and 19 cm wide. If he divides the piece of paper into 2 equal sections, what is the area of each section? A. 43 sq cm B. 45 sq cm C. 247 sq cm
Answer:
C
Step-by-step explanation:
26*19=494
494/2=247
Name the three angles of the triangle
Answer: Equilateral, Isosceles and Scalene
hope this helped (let me know if it did)
A number minus 6 is few then 8
Answer: true or yes
A number minus 6 is few then 8
Step-by-step explanation:
if you do 6-5=1 or 6-3=3 so true or yes ????
hoped this helped?????????
suppose that a computer chip company has just shipped 10,000 computer chips to another computer company. Unfortunately, 20 of the chips are defective. Compute the probability that two randomly selected chips or defective using conditional probability
Answer:
20÷10=2. 10,000÷10=1,000
Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000
Find three consecutive even integers such that when the first integer is
multiplied by the third integer, the result is 2 more than 5 times the
second integer. [Only an algebraic solution will be accepted.]
Answer:
4, 6, 8
Step-by-step explanation:
Let the three consecutive integers be a, b, and c.
So, first, we know that they are three consecutive even integers. In other words:
[tex]a=2n,b=2n+2,c=2n+4[/tex]
N is any integer, but the 2n ensures that the outcome is even. Since we want to make the subsequent terms also even, we add 2.
We are told that when the first integer (a) is multiplied by the third integer (c), the result is 2 more than 5 times the second integer (b). In other words:
[tex]ac=2+5b[/tex]
Substitute:
[tex](2n)(2n+4)=2+5(2n+2)[/tex]
Distribute both sides:
[tex]4n^2+8n=2+10n+10[/tex]
Add on the right:
[tex]4n^2+8n=10n+12[/tex]
Subtract 10n and 12:
[tex]4n^2-2n-12=0[/tex]
Divide everything by 2:
[tex]2n^2-n-6=0[/tex]
Factor. Find two numbers that when multiplied equals (2)(-6)=-12 and when added equals -1.
3 and -4 works. Thus:
[tex]2n^2-4n+3n-6=0\\2n(n-2)+3(n-2)=0[/tex]
Combine:
[tex](2n+3)(n-2)=0[/tex]
Zero Product Property:
[tex]2n+3=0\text{ or } n-2=0[/tex]
Solve for n:
[tex]n=-3/2\text{ or } n=2[/tex]
So, n is either -3/2 or 2.
That means that a must be either:
[tex]a=2(-3/2)\text{ or } 2(2)[/tex]
Multiply:
[tex]a=-3\text{ or } 4[/tex]
The first answer is not even. So:
[tex]a=4[/tex]
Our first answer is 4.
And our sequence is 4, 6, and 8.
Checking:
4 times 8 is 32.
2 plus 5 times 6 is also 32.
So our answer is correct.
Without using a calculator, choose the statement that best describes the value of the square root of 46
i need help :(
Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
Solve for x
x - 7 = 8
Answer: x = 15
Step-by-step explanation: In this problem, since 7 is being subtracted
from x, add 7 to both sides of the equation to get x by itself.
On the left side, -7 + 7 will cancel out and
on the right side, 8 + 7 simplifies to 15.
So x = 15.
The value of x in the given equation x - 7 = 8 is 15.
Given that an equation x - 7 = 8, we need to solve for x.
To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.
Follow these steps:
Step 1: Add 7 to both sides of the equation to isolate x on the left side:
x - 7 + 7 = 8 + 7
Simplifying the left side, the -7 and +7 cancel out, leaving:
x = 15
Step 2: Check your solution by substituting the value of x back into the original equation:
x - 7 = 8
Substitute x with 15:
15 - 7 = 8
Simplify the left side:
8 = 8
Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.
Hence, the answer is x = 15.
Learn more about equation click;
https://brainly.com/question/10724260
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For an apartment complex, the association collects $158,000 from all of its 211 residents. What is the average rent per capita for this apartment complex?
solve a=9y+3xy for y
Answer:
y=a/(9+3x)
Step-by-step explanation:
Reverse: 9y+3xy=a
y(9+3x)=a
y=a/(9+3x)
Plus help if u can ❤️❤️
Answer:
0
Step-by-step explanation: