Answer:
The distance between points C and D is 5.83
Step-by-step explanation:
We need to find distance between points C and D
Looking at the graph we can find coordinates (x,y) of points C and D
Coordinates of point C are: (-4,3)
Coordinates of point D are: (1,0)
The formula used to calculate Distance is:
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]
Putting values and finding distance between points C and D
[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]
So, the distance between points C and D is 5.83
Daisy is calculating her assets. She has $10,000 in gold and silver jewelry, and $50,000 in her savings. She has paid $20,000 of her $150,000 house. She has also pain $10,000 of the $45,000 car she bought last year.
$80,000
$90,000
$285,000
$255,000
Answer:
10,000
Step-by-step explanation:
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line AB is [tex]\frac{3}{4}[/tex]
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line CD is [tex]\frac{3}{4}[/tex]
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
a. they are parallel because their slopes are equal
Step-by-step explanation:
did the review on edge
On laisse tomber une balle d'une hauteur de 1m.
A chaque rebond, elle rebondit aux 3/4 de la hauteur d'où elle est tombée.
Quelle hauteur, en cm, la balle atteint-elle au cinquième rebond ? Donner une valeur approchée à l'unité près.
.......................
which angles on the unit circle have central angles with measures less than 180 degrees
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :DDD
Write in y=mx+b form
Step-by-step explanation:
b =-4 (y-intercept)
x =0
m = 0 (the line doesn't have a slope)
y = mx + c
y = 0(0) + (-4)
y = - 4
what number is the same as -1882384?
Answer:
-1,882384 x 10^6 or -1372^2
Step-by-step explanation:
Both forms equal -1882384.
Pls help. A, B, C, or D?
Answer:
b=1
Step-by-step explanation:
1) Distribute
6+7b-7=5+b
2) Combine like ter,s
7b-1=5+b
3) Isolate variable
6b=6
4) Solve
b=1
Answer:
b = 1
Step-by-step explanation:
6 + 7b - 7 = 5 + b
7b - b = 5 - 6 + 7
6b = 6
b = 1
A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused
Answer:
...520 miles
Step-by-step explanation:
if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)
Can u guys PLEASE ANSWER this question 2 ASAP
Answer:
23.1
Step-by-step explanation:
The radius of the cone is
32÷2
16
So the equation is
s²=r²+h²
h²=s²-r²
h=√s²-r²
h=√28.1²-16²
h=√789.61-256
h=√533.61
h=23.1
Select the correct answer from each drop-down menu.
Consider functions hand k.
For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse
Answer:
not equal to
are not
Step-by-step explanation:
guessed on plato and got it right. Thank You!!!!
Answer:
The correct answers are:
Not equal to
Are not
Step-by-step explanation:
I got it right on the Edmentum test.
Ay can anybody please help me with this question !
Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15
A college textbook costs $90,00. If the sales tax rate is 6.5%, then how much will the tax be?
Answer:
The sales tax is 6.5% of the selling price of the book: 0.065($90.00) = $5.85.
Step-by-step explanation:
A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
What is the solution to the equation 4x + 8= -2 - 2 + 5x
Have?
Two
One
None
Invinitely many
Answer:
one solution
Step-by-step explanation:
4x + 8 = -2 -2 + 5x
4x + 8 = -4 + 5x
4x - 4x + 8 = -4 + 5x - 4x
8 = -4 + 5x - 4x
8 = -4 + x
8 + 4 = -4 + 4 + x
12 = x
Is this set of ordered pairs a function ? (1,9) (0,8) (3,0) (4,9) (7,7).
Answer:
It is not a function because the output of 9 repeats.
(1,9) (4,9)
:D
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Answer:
20 ; 40 ; 80 ; 10(2^n)
Step-by-step explanation:
Given that:
Initial amount of goo (p) = 10 gram
Total amount of goo increased by 100% every hour ;
How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Using the relation :
Final amount = initial * (1 + rate)^t
Rate = 100% = 100/100 = 1
t = number of hours
Hence, after 1 hour :
Final amount = 10(1 + 1)^1
Final amount = 10(2)^1 = 20 grams
After 2 hours : t = 2
Final amount = 10(1 + 1)^2
Final amount = 10(2)^2 = 10 * 4 = 40 grams
After 3 hours ; t = 3
Final amount = 10(1 + 1)^3
Final amount = 10(2)^3 = 10 * 8 = 80 grams
After n hours ; t = n
Final amount = 10(1 + 1)^n
Final amount = 10(2)^n grams
Use the scatter plot to fill in the missing coordinate of the ordered pair.
Answer:
(16, 6)
Step-by-step explanation:
The coordinate of an ordered pair is often represented as (x, y). That is, when x is equal to a particular value, the value of y would be the corresponding value to x on the coordinate plane.
So, given an incomplete ordered pair, (16, ), to find the missing coordinate, trace the value of y that corresponds to the value of x = 16.
That is, what is the value of y when x = 16.
From the plot, when x = 16, y = 6. The missing coordinate is 6.
Thus, we would have:
(16, 6).
Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?
HELP!
Answer:
Reagan
Explanation:
Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.
Hope this helps :)
What is the circumference of circle E?
(Use 3.14 for a.)
Answer:
15.7
Step-by-step explanation:
circumference = pi x diameter
3.14 x 5 = 15.7
will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5
Answer: 3x + 1
Step-by-step explanation:
A p e x
Create a system of equations with a solution of (4,1)
Answer:
x + y = 5 (or) xy = 4 (or) x - y = 3
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answer:
480 in^3
Step-by-step explanation:
A=l×b×h
10×8×5+4×4×5
=480
y varies directly with x. If x= 1 and y = 0.25 what is y if x = 9
Type your answer...
Answer:
y=2.25
Step-by-step explanation:
0.25x9=2.25
In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answer:
A would make sense
Step-by-step explanation:
HELP!!!! please will give brainliest
Answer:
m = -1
Step-by-step explanation:
The line is going down from left to right, meaning the slope is negative. The line is going down at the same rate at which it's going to the right, meaning the numerator and denominator are the same (a fraction with the same numerator and denominator is 1)
An athlete runs 8 miles in 50 minutes on a treadmill at this rate how long will it take the athlete to run 9 miles
Answer:
56.25 minutes
Step-by-step explanation:
1 mile is 6.25 minutes
9 miles is _____?
6.25 minutes x 9 miles =
56.25 minutes
Find Unit Rate to help solve
Hope this helps :)
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
what is the HL postulate
Answer:
HL Postulate
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E-learning is the future today.
Stay Home , Stay Safe and keep learning!!!
HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.