Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Write each absolute value in a box to show the order from least to greatest.
Answer:
From least to greatest: -12 -8 -2 5 11
Step-by-step explanation:
Please mark brainliest have a good day and i hope i helped :)
Answer:
(11)=(3)-(1)+(6)=6
Step-by-step explanation:
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
What percent of 602 is 358?
Answer:
168.16%
Step-by-step explanation:
72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?
========================================================
Explanation:
Let's find the circumference
C = 2*pi*r
C = 2*pi*30
C = 60pi
This is the exact circumference in terms of pi.
In one revolution, the point on the wheel moves forward exactly 60pi cm.
In a sense, it's "speed" is 60pi cm per revolution.
----------------
Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).
Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.
After the canceled stuff goes away, we multiply straight across.
Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200Divide the results: 10800/200 = 54
The linear speed is 54 meters per minute
This speed is exact because the 60pi figure is the exact circumference
This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.
Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.
The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (X2 + 3). If area = length x width, what
is the length of the rectangle?
Given:
Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]
Width of rectangle = [tex]x^2+3[/tex]
To find:
The length of the rectangle.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is the width.
It is can be written as:
[tex]\dfrac{A}{w}=l[/tex]
[tex]l=\dfrac{A}{w}[/tex]
Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get
[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]
[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]
[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]
[tex]l=x-5[/tex]
Therefore, the length of the rectangle is [tex]x-5[/tex].
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.
which of the following is equivalent to squareroot 8?
Answer:
2√2
Step-by-step explanation:
What is (f • g) (x) ?
Answer:
=12x-3
Step-by-step explanation:
Stick g(x) in for x in the function of f(x)
f(x) = -4x+5
g(x) = -3x+2
f(g(x)) = -4( -3x+2) +5
= 12x -8+5
=12x-3
Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING
Please help I will give brainlist
Answer:
they are NOT the same
Step-by-step explanation:
y+ 1 = 5(x + 2) is y = 5x + 9
distribute the 5 and get 5x + 10
when you subtract the 1 from both sides the 10 becomes a 9
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over
Answer:
2 1/4
Step-by-step explanation:
amount left of apple pie = 1 - 3/4 = 1/4
amount left of blackberry pie = 1 - 1/2 = 1/2
amount left of blueberry pie = 1 - 1/8 = 7/8
amount left of cherry pie = 1 - 5/8 = 3/8
amount left of peach pie = 1 - 3/4 = 1/4
add this figures together
1/4 + 1/2 + 7/8 + 3/8 + 1/4
2 4 + 7 + 3 + 2
8
Will mark brainliest
Answer:
350
Step-by-step explanation:
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?
Answer:
41%
Step-by-step explanation:
1200-850=350
350 is the markup, now we need the percentage
the orginal price was 850 so we just need to divide 350 by 850
we get 0.4117...
convert that to a percentage and we have 41% markup
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi
the answer is a batty fish with a Somali forehead
32% of a number is 64 what is the number
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
give me the factors of 30
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
Please help this is due today!!
Answer:
81 grams
Step-by-step explanation:
if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7
then solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81
Simplify to a single power of 6:
Answer:
6^2
Step-by-step explanation:
it is a division between two power with the same base, so we have to subtract the exponents
6^(6-4) = 6^2
Answer:
36
Step-by-step explanation:
6^6/ 6^4
46656/1296
36
Find the solution(s) to the system of equations represented in the graph.
A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)
Answer:
(-3,0) and (0,3)
Step-by-step explanation:
The solution to the system of equation is where the two graphs intersect
The intersect at two points
(-3,0) and (0,3)
Please help first real answer will get brainliest
Answer:
6
Step-by-step explanation:
a1(n-1) + D
d = 6
The slope of the line below? answer quickly
Answer:
D: - 2/7
Step-by-step explanation:
The gradient of the line is -2/7 because:
3-1 =2
-4-3=-7
2/-7
I need help with can you guys show me the work.
Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
Which of the following is equivalent to 5(4-m)-2(m+3)? *
don’t give me that link .
[tex]\longrightarrow{\green{Option\:1.\:(14\:-\:7m)}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]5 \: (4 - m) - 2 \: (m + 3) \\ \\ = 20 - 5m - 2m - 6[/tex]
Combining like terms, we have
[tex] = 20 - 6 - 5m - 2m \\ \\ = 14 - 7m[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
Y-intercept = 5
Slope = 3
Answer:
the equation as intercept form is
y = 3x + 5
