who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:5
Step-by-step explanation:
What are the slope and y-intercept of this function?
[tex]\huge \rm༆ Answer ༄[/tex]
The Correct choice is D
Consider two points (0 , 3) and (2 , -1), now let's find the slope ~
[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex][tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex][tex] \sf \dfrac{4}{ - 2} [/tex][tex] \sf - 2[/tex]And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.
that is ~
[tex] \sf(0 ,3)[/tex]determine if the two triangles are congruent.If they are state how u know
Answer:
17) Congruent because two sides are congruent and so is the 90 degree vertical angle.
18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)
19) Congruent because all three sides are congruent (SSS)
20) congruent, all three sides are the same (SSS)
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
I need correct answer for this
Answer:
should be 82%
Step-by-step explanation:
Hope this helps!
Answer:
82%
Step-by-step explanation:
percents are out of 100, so its just multiplied by two
18. The angle measures of a triangle are shown in the diagram. What is the value of x?
3x + 8
84
43
Answer:
15
Step-by-step explanation:
3x + 8 + 84 + 43 = 180
3x + 135 = 180
3x = 45
x = 15
please help me with this also jjodlask
Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
learn more on composite functions here: https://brainly.com/question/10687170
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
Please answer with an explanation
Answer:
-2(1-2p)
Step-by-step explanation:
-7-4p-(-5)
-(-5)=5
=-7-4p+5
=5-7-4p
=-2-4p
=-2(1-2p)
Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds
Find the total surface of :
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
Solve the inequality f – 4 ≤ 9 for f
help me.
Answer:
13
Step-by-step explanation:
Have a great day!! :)
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.
what is the measure of ∠x?
From figure we have , ∠GFH = 80° and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°
Now,
In ∆HGF
Since Sum of the angles of a triangle is 180° :
∠GFH + ∠HGF + ∠GFH = 180°
80° + 60° + 40° = 180°
14° + 40° = 180°
54° = 180° ………..(1)
∠GFH + ∠GFE = 180° [Linear pair]
80° + x° = 180°
x° = 180°-80°
x° = 100°
Hence the value of ∠x is 100°
Among the given options option (D) 100° is correct.
also read similar questions: EFG and ∠GFH are a linear pair, m∠EFG 3n+23, and m∠GFH 4n+17. What are m∠EFG and m∠GFH?...
https://brainly.com/question/1617686?referrer
Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...
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About how many years would it take you to earn $1000 simple
interest on an investment of $800 at 9% annual interest?
A)
8
B)
10
C)
12
D)
14
Ratios and Proportional Relationships
(ZRP 3) Solve Problems
ID: 478033
Hint
Regular Cals
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14 year it would take to earn $1000 simple interest on an investment of $800 at 9% annual interest.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let the number of years be represented as T
Now , the equation will be
The simple interest I = $ 1000
The rate of interest R = 9 %
The principal amount P = $ 800
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
1000 = ( 800 x 9 x T ) / 100
On simplifying the equation , we get
72T = 1000
Divide by 72 on both sides of the equation , we get
T = 13.89 years
Therefore , the number of years is approximated to 14 years
To learn more on Percentage click:
https://brainly.com/question/24159063
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Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!
Answer:
65.214
Step-by-step explanation:
0x100=0
6x10=60
5x1=5
2x(1/10)=0.2
1x(1/100)=0.01
4x(1/1000)=0.004
add all of these values up. hope this helps!
How many angles are formed with a pair of parallel lines and a transversal
Answer:
what i learned was 8 are formed
Step-by-step explanation:
Please help! I highly appreciate it! :D
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
Divide: (3x³+4x+11)/(x²-3x+2)
In attachment I have answered this problem.
The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?
Answer:
1200 times in 10 minutes.
Step-by-step explanation:
There's 5 amounts of 2 minutes in 10.
Therefore multiply 240 by 5.
24 x 5 = 120 x 10 = 1200 times.
Answer:
If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...
2 = 240
2 x 5 = 10
5 x 240 = 1200
This means the neon sign blinks 1200 times every 10 minutes.
Step-by-step explanation:
Have a great day and please mark brainliest!
A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $16. Option B is a commission rate on weekly sales, and he averages $6400 in sales each week. What commission rate does he need to have to earn the same amount with the two options?
10%
since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.
hope this is helpful!
Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off
Answer:
t = S / v time = distance / speed
For Tom t = 12 m / 4 mph = 3 hours to cover course
Tom will finish at 8:13 + 3 = 11:15
th = 12 m / 8mph = 1.5 hours to cover course
11:15 - 1.5 = 9:45 time Harriet should start to finish in 1.5 hours
How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?
paki answer po T-T
Answer:
p= 25000
I=3%
t=5yrs
a= pti÷ 100
25000*3*5÷100
3750
Can i get some help :
Answer:
New Price = 1.55c
Step-by-step explanation:
Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase. The relative increase is 3.49/6.35 or 55%. The new price is 155% or 1.55 times the original price.
That means we have New Price = 1.55c
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answer:1.07
Step-by-step explanation:
Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza
Answer:
pointsss
Step-by-step explanation:
Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex].
To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.
Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.
If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.
The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.
Answer:
length = 7
pls mark me the brainliest
Step-by-step explanation:
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7 (we won't use the other factor since it would give us a negative length
so length = 7