Answer:
First blank would be 25, Second blank would be 75.
Step-by-step explanation:
In order to figure out the blanks, we must figure out the original function first.
How do we do that?
-> we put in the points that we already have- in to equation:
y = ax + b
If we put the 6, 10 in to x, y , we would get :
10 = 6a + b
If we put the 12, 20 in to x, y , we would get :
20 = 12a + b
because these share the "+b" they can be subtracted.
10 = 6a + b
- 20 = 12a + b
--------------------------------------
and this would be :
-10 = -6a, a = 5/3.
we can partly complete the equation.
y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.
The full equation have : y = 5/3x
now, put 15 and 45 in to the x and see what you get!
y=25, 75
Have a nice day :)
helpe helpe help help help help help help
Answer:
B
Step-by-step explanation: Please mark Brainiest if I'm right.
Answer:C
Step-by-step explanation:
PLEASE HELP! URGENT!
What is the value of x? Enter your answer in the box.
Answer:
x = 61°
Step-by-step explanation:
Property of a triangle,
Sum of interior angles of a triangle = 180°
By applying this property in ΔABC,
m∠A + m∠B + m∠C = 180°
x° + 67° + 52° = 180°
x + 119° = 180°
x = 180 - 119
x = 61°
Therefore, measure of angle A = x = 61°
A penguin randomly sends three penguins out of his army of 20 penguins on a secret mission. What is the probability that a penguin named Bella will be chosen?
Answer:
1 out of 17
Step-by-step explanation:
Line b passes through the point ( (6,4) and has a slope of -2. What is the equation of Line b in standard form?
2x + y = -11
x + 2y = -14
x + 2y = -16
2x + y = 16
Answer:
Equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equation of line b that passes through the point ( (6,4) and has a slope of -2.
First we need to find y-intercept of line using formula: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Using m=-2 , x=6 and y=4 the y-intercept will be:
[tex]y=mx+b\\4=-2(6)+b\\4=12+b\\b=4-12\\b=-11[/tex]
Now finding the equation of line having slope m=-2 and y-intercept b=-11
[tex]y=mx+b\\y=-2x-11[/tex]
Writing the equation in standard form
[tex]y=-2x-11\\2x+y=-11[/tex]
So, equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
An equation of the line that has a slope of 3 and a y intercept of -2
Answer:
y=3x-2 or y=3x+2
Step-by-step explanation:
Answer: y = 3x-2
Step-by-step explanation:
At the animal shelter, there are 4 dogs for every 3 cats. Only dogs and cats are accepted (let in) at the shelter. If there are 24 dogs currently at the shelter, how many animals are at the shelter?
Answer:
There are 42 animals at the shelter
A baseball bat cost $30 each from a manufacturer. If a store purchases more than 10 bats, the store receives a 15% discount on the total order. A store ordered 24 bats. What was the total amount of the order before sales tax?
Answer:
$612 was the total amount of the order before sales tax.
Step-by-step explanation:
30 × 24
720
$720 is the full order without the discount being applied
24 is more than 10 bats so the discount will be applied
Convert the percentage into a decimal (move the decimal place two places to the left)
(30 × 24) × (.15)
720 × .15
108
$108 is the discount off the full order of 24 bats
720 - 108
612
$612 is the full order, including the discount
What is a car speed in m/s if it travels 5m in 0.2s
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C only. You will need to use both Soh-Cah-Toa and the Pythagorean Theorem to solve for side AB.
Answer:
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
[tex]Sin\ C = \frac{h}{a}[/tex]
Make h the subject:
[tex]h = aSin\ C[/tex]
Also, in BOC (Using Pythagoras)
[tex]a^2 = h^2 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = a^2 - h^2[/tex]
Substitute [tex]aSin\ C[/tex] for h
[tex]x^2 = a^2 - h^2[/tex] becomes
[tex]x^2 = a^2 - (aSin\ C)^2[/tex]
[tex]x^2 = a^2 - a^2Sin^2\ C[/tex]
Factorize
[tex]x^2 = a^2 (1 - Sin^2\ C)[/tex]
In trigonometry:
[tex]Cos^2C = 1-Sin^2C[/tex]
So, we have that:
[tex]x^2 = a^2 Cos^2\ C[/tex]
Take square roots of both sides
[tex]x= aCos\ C[/tex]
In triangle BOA, applying Pythagoras theorem, we have that:
[tex]AB^2 = h^2 + (b-x)^2[/tex]
Open bracket
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
Substitute [tex]x= aCos\ C[/tex] and [tex]h = aSin\ C[/tex] in [tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2[/tex]
Open Bracket
[tex]AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C[/tex]
Reorder
[tex]AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C[/tex]
Factorize:
[tex]AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C[/tex]
In trigonometry:
[tex]Sin^2C + Cos^2 = 1[/tex]
So, we have that:
[tex]AB^2 = a^2 * 1 + b^2-2abCos\ C[/tex]
[tex]AB^2 = a^2 + b^2-2abCos\ C[/tex]
Take square roots of both sides
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Use the graph at the right. If the
y-intercept increases by 2 and
the slope remains the same,
what will the x-intercept be?
F. –3
H. 1
G. –2
J. 4
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
Lily has 2 rows of 3 model dolls on each of her 3 shelves. How many dolls does she have in all?
Answer:
18
Step-by-step explanation:
Write the ratio 5 to 8 as a fraction, decimal,
and percent.
fraction:
decimal:
percent:
Help meeeeee
Answer:
5/8
.625
62.5%
Step-by-step explanation:
A bus travels at 182 miles in 4 hours. How many miles can the bus travel in 1 hour?
Answer: 45.5 miles
Step-by-step explanation: divide182 by 4
Answer:
182/4=45.5
the bus travels 45.5 miles in 1 hour
I hope this helps!!
Step-by-step explanation:
Please help me it’s due today please help me please please people help me please please
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x
[tex]3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10[/tex]
So, this equation has no solution as both sides are not equal.
b) [tex]15-2x=-7x[/tex]
Solving:
[tex]15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3[/tex]
So, this equation has one solution
c) 7(y-3)=6y-21
Solving:
[tex]7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0[/tex]
So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
: What is 40% of 200 Using table
Answer:
80
Step-by-step explanation:
40% of 200=80
Answer:
80
Step-by-step explanation:
40% of 200
40/100×200
80
Answer is 80
Con un diámetro de 4x y un ares de 28.26cm cual es el valor de X
Answer:
2826/25
Step-by-step explanation:
28.26×4=========2826/25
Someone help please I’ll mark brainliest! Leave a small explanation
Answer:
D. (-3,1)
Step-by-step explanation:
When putting pairs it is (X,Y) (horizontal,vertical)
The ones both meet at point D. (-3,1)
HCF of 200 and 240 pls Not gcf I need HCF!
Answer:
40
Step-by-step explanation:
200 divided by 40 is 5
240 divided by 40 is 6
Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma-separated list. Let k be any integer.) sin 2x cos x cos 2x sin x
Answer:
Step-by-step explanation:
Given that:
sin2xcos x + cos2xsin x = -1
Recall that;
SInAcosB + cosASinB = SIn (A+B)
SIn (2x +x) = -1
Sin (3x) = -1
[tex]x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ][/tex]
[tex]x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}[/tex]
[tex]x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}[/tex]
What is -(-9y+2)-3y=-8
A go-kart's gas tank holds 6 gallons of gasoline which will last 228 miles. How many miles can the go kart travel on 1 gallon of gasoline?
Answer:
1 mile of gas will go 38 miles.
Step-by-step explanation:
If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.
OR, if you prefer algebra:
228 miles/ 6 gallon = (x) miles/ 1 gallon
Which would be 228/6 = x/1
Please help !!!!!!!!
Helps pls I rlly don’t know ?
Answer:
it's easy u stupido perra
Step-by-step explanation:
Answer:
Your first point should be at (0,-2), because of the y intercept. Then, since the slope is 3, you want to rise 3 and run 1. Go up 3, then to the right 1. That should be your next point. Then do it again, and again, how many ever times you need to.
(4u + 9) + 9u^2
adding & subtracting polynomials
Answer:
9u² + 4u + 9
Respond w/ any questions...
Answer:
9u^2 + 4u + 9
Step-by-step explanation:
eliminate parentheses - 4u + 9 + 9u^2
rearrange terms - 9u^2 + 4u + 9
WHO KNOWS THIS QUESTION
Answer:
A
Step-by-step explanation:
Hope This Helps
Which is the solution for 3 (10x+4) = 8(3x + 6)
Answer:
x=6
Step-by-step explanation:
Answer:
3(10x+4)=8(3x+6)
Step 1: Simplify both sides of the equation.
3(10x+4)=8(3x+6)
(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)
30x+12=24x+48
Step 2: Subtract 24x from both sides.
30x+12−24x=24x+48−24x
6x+12=48
Step 3: Subtract 12 from both sides.
6x+12−12=48−12
6x=36
Step 4: Divide both sides by 6.
6x = 36
Answer:
x=6
Mrs. Larson was making gift bags for the 6 students in her reading group she was putting little erasers in the bags she had bag of 20 erasers how many erasers did each student get show all work
Answer:
each student gets 3 erasers
Step-by-step explanation:
You have to divide 20 total erasers by the 6 students and you get about 3.33... and this number rounded down is 3.
Have an stupendous day! I hope this answer was helpful to you.
Each student get 3 erasers.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of students = 6
Number of erasers = 20
Now,
Since, Total number of students = 6
And, Number of erasers = 20
Hence, Number of eraser getting by each students = 20 ÷ 6
= 3.33
Thus, Each student get 3 erasers.
Learn more about the divide visit:
https://brainly.com/question/28119824
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Find the exact value of sin A in simplest radical form.
Answer:
[tex] \sin A= \frac {1} {\sqrt {82}}[/tex]
Step-by-step explanation:
[tex]\sin A= \frac {BC} {BA} \\\\
\sin A= \frac {1} {\sqrt {82}} \\\\[/tex]
The exact value of sin A in simplest radical form is 1 /√82.
What is sine?In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.
Now from the given triangle we have,
Hypotenuse, AB = √82
Perpendicular, BC = 1
Base, AC = 9
Since, sine function is the ratio of the length of the opposite side to that of the hypotenuse.
Thus, Sin A = Perpendicular / Hypotenuse
⇒ Sin A = 1 /√82
which is the required the exact value of sin A in simplest radical form.
Thus, the exact value of sin A in simplest radical form is 1 /√82
To learn more about sine function :
https://brainly.com/question/1685727
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Somebody plz help with this asap
Answer:
i wish i could help you
Step-by-step explanation: