Answer:
Option D is true. ( graph of a vertical line through the point (negative 4,0)
Step-by-step explanation:
2x-3y=21 -6x+2y=7 I also need to be shown how to solve this
Answer:
(-9/2 , -10)
Step-by-step explanation:
2x-3y=21
-6x+2y=7
Multiply the first equation by 3
3(2x-3y)=21*3
6x - 9y = 63
Add this to the second equation to eliminate x
6x - 9y = 63
-6x+2y=7
------------------
0x -7y = 70
Divide by -7
-7y/-7 = 70/-7
y = -10
Now find x
2x- 3y = 21
2x -3(-10) = 21
2x +30 =21
subtract 30 from each side
2x = 21-30
2x= -9
Divide by 2
x = -9/2
(-9/2 , -10)
Now lets solve it by elemination method !
[tex]:\implies\sf 2x-3y=21--------(1)\\ \\ \\ :\implies\sf -6x+2y=7-------(2)\\ \\ \\ \sf Eleminate\ (x) \\ \\ \\ \it Multiply\ first \ equation \ with \ 3\ \ \ and \ 2nd \ \ with \ 1 \\ \\ \\ :\implies\sf (2x-3y=21)\times 3 \\ \\ \\ :\implies\sf (-6x+2y=7)\times 1\\ \\ \\ :\implies\sf 6x-9y=63------(3) \\ \\ \\ :\implies\sf -6x+2y=7-----(4)\\ \\ \\ \it\ \ Add \ equation\ 3\ \ and \ 4\\ \\ \\ :\implies\sf 6x-9y=63+ (-6x+2y= 7)\\ \\ \\ :\implies\sf (6x-6x)+(-9y+2y) = 63+7\\ \\ \\ :\implies\sf 0-7y=70\\ \\ \\ :\implies\sf y= \cancel{\dfrac{70}{-7}}= - 10\\ \\ \\ :\implies\sf y= -10 [/tex]
★ Now find the value of x
let's substitute the value of y in equation 4
[tex]:\implies\sf -6x+2y=7\ \ \ \ \ \ (y= -10)\\ \\ \\ :\implies\sf -6x+2\times (-10)=7\\ \\ \\ :\implies\sf -6x-20= 7\\ \\ \\ :\implies\sf -6x = 7+20 \\ \\ \\ :\implies\sf x= \cancel{\dfrac{27}{-6}}= \dfrac{-9}{2}[/tex]
[tex]\underline{\textit{ \ \ So, \ the \ value \ of \ x\ and \ y }}[/tex]
[tex]\bigstar{\boxed{\sf x= \dfrac{-9}{2}}}[/tex]
[tex]\bigstar{\boxed{\sf\ y= (-10)}}[/tex]
(1−cos^2 x )·(1+tan^2 x)
Answer:
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
Step-by-step explanation:
Given
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
Required
Solve
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
In trigonometry;
[tex]1 - cos^2x = sin^2x[/tex]
So, make substitution
[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]
Also; in trigonometry:
[tex]1 + tan^2x = sec^2x[/tex]
Make another substitution
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]
Recall that [tex]secx = \frac{1}{cosx}[/tex]
So;
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]
In trigonometry;
[tex]tan x = \frac{sin x}{cos x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
The expression cannot be further simplified
Purple square equals to ________?
Answer: its 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Because their are 2 squares
If f = {(2,5), (3, 2) (4, 6), (5, 1), (7, 2)}, then f is a function.
True or false
Answer:
This function is True
Step-by-step explanation:
Since there is one value of y for every value of x .
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY. Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 60 megabytes on it before the transfer, and an additional 4 megabytes were transferred onto it each second. Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
Answer:
If you use a graphing calculator, at x= 0 (t =0) the graph starts at 60 mb and then climbs 4 mb per sec (slope = 4 mb/sec) from there until Agent Hunt gets caught and executed for espionage.
Hope this helps!
Plz plz plz help me Plz tell me the correct answer
Answer:
Question 1:
The smallest 5-digit no. is 10,000
The product of its prime factors is:
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
Question 2:
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
Such as :
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
Don't hesitate asking anything regarding this question!
Answer:
1. The smallest 5-digit number is: 10000
10000= 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
2. 1729= 7 × 13 × 19
7= 6+1
13= 6*2+1
19= 6*3+1
What is the end behavior of the function f(x)=54x2? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞
Answer:
3f(x)
3x^2
12
-x+6
0
Step-by-step explanation:
Fashoo
Solve the equation using the distributive property and properties of equality
1/2(x+6) = 18
What is the value of x?
6
7 1 / 1
141
30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Distribute
1/2 x + 3 = 18
Subtract 3 from each side
1/2x +3-3 = 18-3
1/2x = 15
Multiply each side by 2
1/2x*2 = 15*2
x = 30
A sprinter travels a distance of 100 m in a time of 9.67 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
average speed of sprinter will be 10.42m/s
Step-by-step explanation:
distance covered=s=100m
time taken=t=9.67m/s
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{100m}{9.67s}[/tex]
average speed=10.42m/s
In one city, customers must pay 6% on all items purchased. The video game controllers cost $18.50 each. If a customer purchases 2 controllers, how much tax will she pay? A. $1.11 B. $2.22 C. $19.61 D. $39.22
Answer: B $2.22
Step-by-step explanation:
2 controllers will cost
= 2 x 18.50 = 37
6% tax = 37 x 0.06 = 2.22
Answer:
B
Step-by-step explanation:
i took the test
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at
an average speed of 30 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
Step-by-step explanation:
[70,30] = 210 miles per hour
d=76.157t is the expression for two vehicles, a car and a truck which were distance apart d (in miles) at the end of t hours.
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at an average speed of 30 miles per hour. we need to find expression for their distance apart d at the end of t hours
What is distance?Distance=Speed*Time
distance= speed * time.
*70t be the car traveling EAST at 60 miles per hour after t hours
*30t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.
*Use the Pythagorean Theorem to find the distance d.
The Pythagoras theorem states that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
d^2=(70t)^2+(30t)^2
d^2=4900t^2+900t^2
d^2=5800t^2
d=76.157t
Therefore d=76.157t is the required expression for their distance apart d (in miles) at the end of t hours.
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Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then 15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month can anybody tell me the answer
Answer:
Step-by-step explanation:Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.
ANSWER PLEASE Tyler Deposits 2000 with 8% interest compounded quarterly how much will he have in his account after a year? I need the Principal Quarterly!!
Answer:
2164.86432
Step-by-step explanation:
2000(1+(.08/4))^4
2164.86
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
Answer:
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
The formula for the area of a triangle is a = zon, where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
Answer:
The height is 5 units
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
30 = 1/2 (12) h
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
The height is 5 units
Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30
cases of water?
Water Prices by the Case
Number of cases
Price in dollars
15
66.00
20
88.00
35
154.00
$99.00
$119.00
$121.00
$132.00
Answer:
132 dollars, I think
Step-by-step explanation:
15*2=30
66*2=132
Answer:
D
Step-by-step explanation:since 15 cases is $66 multiply 66 by 2 to get $132
PLEASEEEEEE HELP ME 40 POINTS :((((((!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)
Answer:
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Step-by-step explanation:
Given
Quadrilateral QRST
Dilated Factor = 2
Required
Find the coordinates of Q'R'S'T'
To do this, we first have to identify the coordinates of QRST
[tex]Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)[/tex]
Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below
Q'R'S'T' = 2 * QRST
Q' = 2 * (-2,2)
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Answer:a
Step-by-step explanation:
Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4)
A rectangle has sides measuring (3x + 2) units and (5x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive
full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Answer:
A:
(4x+5)(3x+10)=
(12x^2) + (40x) + (15x) + (50)
12x^2 + 55x + 50
B: 2nd degree trinomial.
C: it is demonstrated in part A because when we added it, the variable do not change and neither do the exponents.
Step-by-step explanation:
do not copy. used this on my test.
anyone help????? por favor
Answer:
A. x = 5, y = 6
Step-by-step explanation:
The directions tell you to do steps on the calculator, so I can't explain or show how to use it in the calc. But simply just plug it into the calc as a matrix and do rref.
Answer:
x= 5, y= 6
Step-by-step explanation:
5x - 4y = 1
4x - 2y =8
Multiply the second equation by -2
-8x + 4y = -16
Add this to the first equation
5x - 4y = 1
-8x + 4y = -16
---------------------
-3x = -15
Divide by -3
-3x/-3 = -15/-3
x = 5
Now find y
4x -2y = 8
4(5) -2y = 8
20-2y = 8
Subtract 20
-2y = -12
Divide by -2
y = 6
the table shows the heights of 40 students in a class explain why your answer for a) is an estimate
Answer:
See below
Step-by-step explanation:
You have to find the number in the middle of all of the heights and multiply them by the all of the frequency. When you have those answers, add them together and divide the answer by 40. That is why, our answer in part (a) is an estimate.
The mean is the average value of an observation, the mean of the grouped data is 129.3 cm
The mean value can be calculated using the relation :
ΣfX/Σf Sample size, ΣF x = midpoint = (x1 + x2) /2ΣF = (7 + 8 + 13 + 9 + 3) = 40
Σfx = (7 × 122) + (8 × 126) + (13 × 130) + (9 × 134) + (3 × 138) = 5172
Mean = ΣFx /ΣF
Mean = 5172 / 40 = 129.3 cm
B.)
The mean value obtained is an estimate because, calculation used the midpoint value existing within a certain range, and not the exact height value of individual student.
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a motor racing has a length of 5 5/6 a straight section of a circuit has a length 1 1/4 miles what fraction of the circuit is the straight section ? give your answer in the simplest form
Answer:
[tex]Fraction = \frac{3}{14}[/tex]
Step-by-step explanation:
Given:
[tex]Total\ Length = 5\frac{5}{6}[/tex]
[tex]Straight\ Section = 1\frac{1}{4}[/tex]
Required:
Fraction of the circuit that is straight section
To solve this, we simply divide the length of the straight section by the total length of the circuit;
This is done as follows;
[tex]Fraction = 1\frac{1}{4} / 5\frac{5}{6}[/tex]
Convert both fractions to improper fractions
[tex]Fraction = \frac{5}{4} / \frac{35}{6}[/tex]
Change division sign (/) to multiplication (*)
[tex]Fraction = \frac{5}{4} * \frac{6}{35}[/tex]
Combine to form a single fraction
[tex]Fraction = \frac{5*6}{4*35}[/tex]
[tex]Fraction = \frac{30}{140}[/tex]
Divide numerator and denominator by 10
[tex]Fraction = \frac{3}{14}[/tex]
Hence, the fraction of the straight section is; [tex]Fraction = \frac{3}{14}[/tex]
50% of what number is 307
Answer:
614
Step-by-step explanation:
Let the number be x.
50% × x = 307
0.5x = 307
x = 307/0.5
x = 614
50% of 614 is 307.
Answer:
614
Step-by-step explanation:
50% means half. So,
x ÷ 2 = 307
x = 307 × 2
x = 614
Have a blessed day!
3 more sentences to describe the line plot picture above
Answer:
1) Length 22 and 26 have the same amount of desks that have the same length
2) Lengths 21, 23, 25, and 27 have the equal amount of tables
Step-by-step explanation:
3) There are 12 desks in total
Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length
Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length
Explaination of sentence 3 is that there are 12 desks that are measured.
If this helped please mark me brainliest :)
Why do you think it is important to consider both salary and benefits when applying for a job?
It is important to consider salary and benefits because you should consider how much money you need to buy necessities and a few things you want, but you should also look into whether the benefits can wave some of the necessity costs, such as health insurance, etc.
Classify the following triangle as acute, obtuse, or right.
80°
A. Obtuse
B. Acute
C. Right
D. None of these
Answer: I'm guessing it's acute
Step-by-step explanation:
Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute
solve the following system of equations: 2x+3y-z=1 3x+y+2z=12
x+2y-3z=-5
Answer:
x=-3 y=19/7 z=7
Step-by-step explanation:
On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |-8| = -8 D. 0 + 8 = 8
Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Answer:
B
Step-by-step explanation:
The absolute value of a number means the distance from 0.
For example, |-2| is 2 units from 0.
|-8| = 8
-8 is 8 units from 0.