9514 1404 393
Answer:
k = 2/7
Step-by-step explanation:
The constant of proportionality is the value of k in the equation ...
y = kx
Solving for k gives ...
k = y/x
We can use any pair of (x, y) values from the table to find k. It usually works well to use the smallest non-zero values:
k = 2/7
determine the measure of each segment then indicate whether the statements are true or false
Answer:
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
A(-4, 4)B(2, 5)Finding the length of AB using the formula
[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{6^2+1}[/tex]
[tex]=\sqrt{36+1}[/tex]
[tex]=\sqrt{37}[/tex]
[tex]d_{AB}\:=\sqrt{37}[/tex]
[tex]d_{AB}=6.08[/tex] units
Given the vertices of the segment JK
J(2, 2)K(7, 2)From the graph, it is clear that the length of JK = 5 units
so
[tex]d_{JK}=5[/tex] units
Given the vertices of the segment GH
G(-5, -2)H(-2, -2)Finding the length of GH using the formula
[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]
[tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]
[tex]=\sqrt{3^2+0}[/tex]
[tex]=\sqrt{3^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]d_{GH}\:=\:3[/tex] units
Thus, from the calculations, it is clear that:
[tex]d_{AB}=6.08[/tex]
[tex]d_{JK}=5[/tex]
[tex]d_{GH}\:=\:3[/tex]
Thus,
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Katy bought a $76 dress at 33% off and a $52 pair of shoes at 15% off. If
sales tax is 6.75% how much did she pay in total?
Answer:
101.54
Step-by-step explanation:
Answer:
$103.21
Step-by-step explanation:
33% of 76=$25.08 then 76-25.08=$50.92
12% of 52=$6.24 then 52-6.24=$45.76
50.92+45.76=$96.68
6.75% of 96.68=$6.525-->$6.53
96.68+6.53=($103.21)
3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points) 3x+12 (3 + x) + 4 (x + 4) ⋅ 3 3x + 4
Answer:
3x+12
Step-by-step explanation:
Multiply 3 by x and then multiply 3 by the 4.
Answer:
3x+12
Step-by-step explanation:
anything helps !!! :))))
Ryan is saving money to buy a skateboard that cost $85.00. He has already saved $40.00 and plans to save the same amount each week for 3 weeks. How much should he save each week
Answer:
85 - 40 = 45 ÷ 3 weeks = $15
The measure of the exterior angle of the triangle is
Answer:
Step-by-step explanation:
Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).
Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:
180 = (x+8) + (4x) + (196-7x)
180 = x + 8 + 4x + 196 - 7x
180 = -2x + 204
-24 = -2x
12 = x
Now that we have have the value of x, we can solve for the exterior angle.
(7(12) - 16) = 68 degrees
Hope this helps!
Answer:
68°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
4x + x + 8 = 7x - 16 add like terms
5x + 8 = 7x - 16 export like terms to the same side
8 + 16 = 7x - 5x
24 = 2x divide both sides by 2
12 = x
The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°
Need help resolving the following quadratic expressions:
a) 4x -4x -15 = 0
b) 2y +7y + 3 +0
Answer:
first answer for (a) is -15=0
second answer for (b) is =9y+3
Step-by-step explanation:
its juss so easy
Select the correct answer.
If the function y= x - 31 is a linear function, what is the value of a?
OA 1
OB. 2
OC. 3
OD. 4
Answer:
a=1
Step-by-step explanation:
This is assuming that by A you mean y=ax+b. So you have y=x-31, following the y=ax+b equation, A is the coefficient in front of x, which is 1.
PLZ help me i will give you ten points for it and for helping me on the rest of the 6 problems PLZ HELP!!
Answer:
Yes, I believe so.
Step-by-step explanation:
When you look at this equation on a graphing table, it is a straight line that goes directly through the 0,0 cords.
I hope this helped!
If it's wrong I'm very sorry!
What is the value of 0?
Answer:
[tex]\huge\boxed{\sf \theta = 36.9\°}[/tex]
Step-by-step explanation:
[tex]\sf cos \theta = adjacent/ hypotenuse\\\\where \ adjacent = 4 , hypotenuse = 5\\\\cos \theta = 4 / 5\\\\cos \theta = 0.8\\\\\theta = cos^{-1} 0.8\\\\\theta = 36.9\°\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807I have to take care of my sister's cat while she is on vacation. The cat is a very picky eater and will only eat a certain cat food, available at two stores.
Gristede's sells 12 cans for $18
PetSmart sells 20 cans for $26
Which store is offering the best deal on cat food?
Make sure to explain how you were able to determine which store offers the best deal on the cat food.
What us the equivalent ratio for 4:3
Answer:
PetSmart is offering the best deal
Step-by-step explanation
For Gristede's we get 18 and divide it by 12 which would give us $1.50 per can
For PetSmart we get 26 and divide it by 20 which would give us $1.30 per can
. Asha mixes 50 milliliters of yogurt, 100 milliliters of orange juice, and
250 milliliters of milk to make a regular smoothie.
a) What is the ratio of the amount of yogurt to the amount of orange
juice to the amount of milk?
b) If Asha has 1 liter of milk, how many regular smoothies can she make?
Answer:
A
Step-by-step explanation:
Use the distributive property to write an equivalent expression. 2.5 ( w + 3 )
Answer:
2.5w + 7.5
Step-by-step explanation:
2.5(w+3)
2.5w+7.5
a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?
Answer: 14.2 I hope im Right but it’s a simple question
Step-by-step explanation:
Answer:
do whatever your instincts are telling you to do
Step-by-step explanation:
Can somebody please help me
Answer:
Step-by-step explanation:
the shaded area would be
200*75=15,000 ft^2
from this are we have to subtract the are of the house and of the garage
house= 40*40=1600
garage=24*30=720
house and garage= 1600+720=2320
15,000-2320=12,680
Answer:
12680 ft²
Step-by-step explanation:
First we will find the area of the house and then the garage.
They're both rectangles so we should use this formula [tex]A=l*w[/tex].
Area Of The House:
[tex]A=l*w\\A=40*40\\A=1600ft^2[/tex]
Area Of The Garage:
[tex]A=l*w\\A=24*30\\A=720ft^2[/tex]
Adding the two areas:
Now we have to add the two together to find how much of the space they take up in the yard.
[tex]1600+720=2320[/tex]
Area Of The Yard:
[tex]A=l*w\\A= 200*75\\A=15000ft^2[/tex]
Subtracting The Two Areas To The Yard's Area:
[tex]15000-2320=12680ft^2[/tex] and that is it!
HELPP PLEASEEEEE 42 POINTS !!! what is 6( -3w + 1/3) =
Answer:
2 - 18w or -18w + 2
Step-by-step explanation:
6(-3w + 1/3)
Multiply using distrubutive property
-18w + 6(1/3)
Multiply 6 * 1/3 to get 6/3 or 2
-18w + 2
This is optional, but put the variable term on the right
2 + (-18w)
2 - 18w
What is the circumference of the circle below?
Answer:
Step-by-step explanation:
circumference C=2*3.14*r
C=2*3.14*18m=113.04 m
Answer:
113.04 meters.
Step-by-step explanation:
Use the formula
2 times pi times r
r=radius of the circle
or Pi times D
d= diameter of the circle.
The radius is 18 meters.
So, do 2 times 18 times pi.
Find the measure of each angle indicated.
2)
50°
?
A) 60°
B) 50°
C) 130°
D) 940
please answer if u know
Answer:
9 dollars
Step-by-step explanation:
let x be per mile
the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay
The x is 12 since you have to go 12 miles
0.5(12)+3=amount you have to pay
6+3=amount you have to pay
$9=mount you have to pay
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
'is' over 'of' equals '%' over 100
Step-by-step explanation:
72/480 = x/100
if you cross multiply you get 480x = 7200
x = 15/100 which is 15%
i need help
this is due today at 4
Answer:
Hi The Answer is A.
Step-by-step explanation:
The Answer is A Because of the funter travel of the X.
x*y=z
Hope This Helps.
:)
My name is John henry.
are the 2 triangles congruent?
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
PLEASE HELP ASAP!!
j^4-5j^3+10j
Answer:
B) j(j^3-5j^2+10)
Step-by-step explanation:
Given: [tex]j^4-5j^3+10j[/tex]
Factor out j: [tex]j(j^3-5j^2+10)[/tex]
We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)
The perimeter of a rectangle is 56 cm . The length of the rectangle can be represented by 6x-7 and it’s width by 2x+3.what are the dimensions of this rectangle in centimeters
Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:
[tex]p = 2\cdot w +2\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width of the rectangle, measured in centimeters.
[tex]l[/tex] - Length of the rectangle, measured in centimeters.
If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:
[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]
[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]
[tex]16\cdot x-8 = 56[/tex]
[tex]16\cdot x = 64[/tex]
[tex]x = 4[/tex]
And the length and the width of the rectangle are, respectively:
[tex]l = 6\cdot (4)-7[/tex]
[tex]l = 17\,cm[/tex]
[tex]w =2\cdot (4)+3[/tex]
[tex]w = 11\,cm[/tex]
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
What is the volume of a sphere with a radius of 6.4 in, rounded to the nearest tenth of
a cubic inch?
Answer: 1,098.1
Step-by-step explanation: Hope this helps, Merry Christmas, and have a nice day!
An airplane can seat up 175 passengers
okay okay 123
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
175-87=88 so 88 is where the dot needs to be located so we have option A and option B
For ≤ and ≥ , use a closed dot
For > and < , use a open dot
she said AT LEAST 175
so we would use a closed dot
What is the measurement of
127^*
A.13
В.35
С.53
D.73
Answer:
C
Step-by-step explanation:
Because if you do the multiplication then you would know that it was c
No need to show work just need answer.
Area of a right triangle (7,6)
Answer: The answer is 21
Step-by-step explanation:
The area formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)
find the values of x and y
Answer:
61=x cortical opposite angle
61=y corresponding angle
Answer:
61=x and 61=y
Step-by-step explanation:
I think that bout right