Answer:
Step-by-step explanation:
function 1 : y = 4x + 5
In y = mx + b form, which is what ur equation is in, the slope can be found in the m position. So the slope of this function is 4.
function 2 : (1,6),(3,10)
slope = (y2 - y1) / (x2 - x1)
(1,6)...x1 = 1 and y1 = 6
(3,10)...x2 = 3 and y2 = 10
now we sub
slope = (10 - 6) / (3 - 1) = 4/2 = 2
B. Function 1, because the slope is 4 and the slope of function 2 is 2. <==
Answer:
Function 1, because the slope is 4 and the slope of function 2 is 2. Use the slope formula.
This quarter circle has a radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
|_____|cm²
Answer:
[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]
Answer:
38.47
Step-by-step explanation:
I just took the k12 test and 38.465 is wrong
Find the surface area of the following triangular prism.
Answer: 144 ft squared
Step-by-step explanation:
Let's find the two bases first. They are triangles with a base of 6 and a height of 8. The formula for the area of a triangle is b * h * 1/2 = 6 * 8 * 1/2 = 24. There are two so you would do 24 * 2 which is 48.
Then let's find the area of the other three faces, all of which have a length of 4. One has a width of 8 so you would do 4 * 8 which is 32. Another has a width of 6 so you would do 4 * 6 which is 24. The last one has a width of 10 so you would do 4 * 10 which is 40.
Add up the areas of the two bases and three faces together:
48 + 32 + 24 + 40 = 144 ft squared
Hope this helped!
Is 48 a solution to 2y = 24
Answer:
No
Step-by-step explanation:
2y = 24
y = 24/2
y = 12
so the answer is incorrect
Answer:
False
Step-by-step explanation:
The correct answer is 12
Jimmy dean made 15 sausages in 3 hours. At this same rate , how many sausages did he make in 8 hours
Answer:
40
Step-by-step explanation:
15/3=5
5*8=40
Jimmy Dean would make 40 sausages in 8 hours, based on a calculation using his rate of sausage making determined from the 15 sausages he made in 3 hours.
Explanation:If Jimmy Dean made 15 sausages in 3 hours, we can calculate the rate at which he makes sausages and then use this rate to find out how many he would make in 8 hours. First, find the sausage-making rate by dividing the total sausages made by the total hours worked:
Rate = Total Sausages / Total Hours = 15 sausages / 3 hours = 5 sausages per hour
Next, we multiply this rate by the number of hours we are interested in, which is 8 hours:
Sausages in 8 hours = Rate * 8 hours = 5 sausages/hour * 8 hours = 40 sausages
Therefore, at the same rate, Jimmy Dean would make 40 sausages in 8 hours.
BC is parallel to DE. What is the length of BC? 7 8 9 6
Step-by-step explanation:
The length of BC 7 8 9 6 would probaly wouldnt be parallel but most likely be perpendicular if not intersecting
Angle A and Angle B are supplementary angles. If
m angle A = (2x + 26)° and m angle B = (x + 25)', then find the measure
of Angle B.
Answer:
12 Degrees
Step-by-step explanation:
angle A and angle B are supplementary angles.
angle A is 14 times as large as angle B.
Let angle A be x and let angle B be y.
then we have x+y=180
x=14y
14y+y=180
15y=180
y=12
x=168
Angle A is 168 degrees and angle B is 12 degrees.
If f(x) = 2x^2 + 5 and g(x) = 6 + f(x) , what is the value of f(4) + g(3) ?
Answer: 66
Step-by-step explanation:see attachment.
If this helps you please rate brainest
Answer:
66
Step-by-step explanation:
Your new place needs a 12 ft by 18 ft rug. You notice that these sides are 50% longer than the rug from your old place. What were the dimensions of the old rug
Answer:
The dimensions of the old rug are 8 ft by 12 ft
Step-by-step explanation:
Let
x ----> the length of the old rug
y ----> the width of the old rug
we know that
[tex]100\%+50\%=150\%=150\100=1.5[/tex]
so
The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug
so
[tex]1.5x=12\\x=8\ ft[/tex]
[tex]1.5y=18\\y=12\ ft[/tex]
therefore
The dimensions of the old rug are 8 ft by 12 ft
Solve 9/4x-5/6=-13/12x
Answer:
4
Step-by-step explanation:
Cuzzzzz I know this stuff realy well
To solve this, you need to isolate/get x by itself in the equation:
[tex]\frac{9}{4}x-\frac{5}{6}=-\frac{13}{12} x[/tex] Subtract 9/4x on both sides
[tex]-\frac{5}{6} =-\frac{13}{12} x-\frac{9}{4} x[/tex] To combine fractions, the denominator has to be the same. They both have a least common denominator (LCD) of 12, so multiply -9/4x by 3/3 to make the denominator 12
[tex]-\frac{5}{6} =-\frac{13}{12}x -(\frac{3}{3})\frac{9}{4}x[/tex]
[tex]-\frac{5}{6} =-\frac{13}{12}x-\frac{27}{12} x[/tex]
[tex]-\frac{5}{6} =-\frac{40}{12} x[/tex] Multiply the reciprocal of -40/12 to get x by itself, which is -12/40 [basically flipping the fraction or switching the numerator and the denominator]
[tex](-\frac{12}{40})-\frac{5}{6} =(-\frac{12}{40})-\frac{40}{12} x[/tex] [two negative signs cancel each other out and become positive]
[tex]\frac{60}{240} =x[/tex] Simplify the fraction
[tex]\frac{1}{4} =x[/tex]
To simplify the express 1/2 (60+8)Martha used which property in step1
Answer:
34
Step-by-step explanation:
BODMAS (Bracket, Division, Multiplication, Addition, Subtraction )rule
First we solve brackets :
60+8=68
1/2(68)= 34
the three points (3, -5) , (-a+2,3) and (2a+3, 2) lie on the same line. what is a?
Answer:
a = -7/23.
Step-by-step explanation:
For them to lie on the same line the slope of the line joining the first 2 points must equal the slope of the line joining the second and third points.
so (3 - -5) / (-a+2 - 3) = (2 - 3) /[(2a + 3) - (-a + 2)]
8 / (-a - 1) = -1 / (3a + 1) Cross multiply:
-1(-a - 1) = 8(3a + 1)
a + 1 = 24a + 8
-7 = 23a
a = -7/23.
To find the value of a, we can set the slopes between pairs of points equal to each other and solve for a. The value of a is 14/13.
Explanation:To determine the value of a such that the points (3, -5), (-a+2,3), and (2a+3, 2) lie on the same line, we can use the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1). We'll calculate the slopes for the two pairs of points and set them equal to each other to find a.
Let's start by finding the slope between the first two points: (-a+2, 3) and (3, -5).
The slope is: m1 = (3 - (-5)) / (-a+2 - 3), which simplifies to m1 = 8 / (-a-1).
Next, let's find the slope between the second and third points: (2a+3, 2) and (3, -5).
The slope is: m2 = (2 - (-5)) / (2a+3 - 3), which simplifies to m2 = 7 / (2a).
Setting the two slopes equal to each other, we have: m1 = m2. Plugging in the expressions for m1 and m2, we get: 8 / (-a-1) = 7 / (2a). To solve for a, we'll cross-multiply and simplify the equation.
After simplifying, we find that a = 14/13.
Learn more about linear equations here:https://brainly.com/question/18751934
#SPJ2
What is the value of x?
21
24
32
44
Answer:
21
Step-by-step explanation:
im god
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
Answer:
55
Step-by-step explanation:
412.5 / 7.5 =55
The speed of the driving will be 55 miles/hr. Speed is represented as the pace of change of the distance or the height attained.
What is speed ?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.
The given data in the problem is;
The time taken is,t=7.5 hours.
The distance travelled is,d=412.5 miles
v is the speed of driving =?
The formula for the distance is;
d=v×t
v=d/t
Substitute the given values;
v=412.5/7.5
v=55 miles/hr
Hence, the velocity of the driving will be 55 miles/hr.
To learn more about the speed, refer to the link;
https://brainly.com/question/7359669
#SPJ2
Is the slope of 5,0 and 8,4 positive,negative, zero or undefined?
The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
A: C=15πr
B: C15=π
C: C=r30π
D: C30=π
Answer:
The equation which expresses the ratio of the circumference to the diameter of a circle is [tex]\frac{C}{30}=\pi[/tex] ⇒ D
Step-by-step explanation:
π is the ratio between the circumference of the circle and the length of its diameter
[tex]\frac{C}{d}=\pi[/tex] , where
C is the circumference of the circled is the diameter of the circle∵ The circumference of the circle is C
∵ The radius of the circle is 15 units
∴ r = 15 units
- Find the diameter of the circle
∵ The diameter of the circle d = 2 r
∴ d = 2(15) = 30 units
∴ The diameter of the circle is 30 units
∵ [tex]\frac{C}{d}=\pi[/tex]
∵ d = 30 units
∴ [tex]\frac{C}{30}=\pi[/tex]
The equation which expresses the ratio of the circumference to the diameter of a circle is [tex]\frac{C}{30}=\pi[/tex]
Write the expression 4/5 (x + 1) in standard form
multiply 4/5 ×1=4/1=4
4+1=5
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}x+\frac{4}{5}[/tex]
What is the answer to this?
(2i-6)(3i-9)
Remember that i² = -1. Using FOIL...
(2i-6)(3i-9) = 6i²-36i+54
Now simplify by subbing in -1 for i².
6(-1)-36i+54 = 48-36i
answer: 48-36i
Simplify - 10x -4 +3x
Combine the like terms -10x and 3x to get -7x.
The answer would be -7x - 4
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{Simply: -10x - 4+3x}[/tex]
[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]
[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]
[tex]\mathsf{-10x+3x=-7}[/tex]
[tex]\mathsf{New\ equation: -7 x- 4}[/tex]
[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per hour. Jeremy lives 35 miles away from the factory and drives at 70 miles per hour. If they leave their houses at the same time, then
(a) who arrives at the factory first ?
(b) how long is it until the other person arrives?
Jason arrives at the factory first
It takes 5 minutes until the other person arrives
Solution:
The time taken is given by formula:
[tex]Time\ taken = \frac{distance}{speed}[/tex]
Jason lives 25 miles away from the factory and drives at 60 miles per hour
Therefore, time taken by Jason is:
[tex]Time\ taken = \frac{25}{60}\ hour[/tex]
Convert to minutes
1 hour = 60 minutes
Therefore,
[tex]Time\ taken = \frac{25}{60} \times 60\ minutes = 25\ minutes[/tex]
Jeremy lives 35 miles away from the factory and drives at 70 miles per hour
Therefore time taken by Jeremy is:
[tex]Time\ taken = \frac{35}{70}\ hour\\\\Time\ taken = \frac{35}{70} \times 60\ minutes\\\\Time\ taken = 30\ minutes[/tex]
They leave their houses at the same time
25 minutes < 30 minutes
Thus Jason arrives first
Jason arrives to the factory in 25 minutes
Jeremy arrives to the factory in 30 minutes
⇒ 30 - 25 = 5 minutes
Jeremy arrives after Jason by 5 minutes
It takes 5 minutes until the other person arrives
Suppose you bought supplies for a party. Three rolls of streamers and fifteen party hats cost $30. Later, you bought two rolls of streamers and four party hats for $11. Write and solve a system of equations to determine the cost of streamers and party hats, find their costs.
Final answer:
To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.
Explanation:
To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.
From the first purchase:
3s + 15h = $30
From the second purchase:
2s + 4h = $11
Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.
First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:
7.5s + 15h = $41.25
Subtract the first equation from this new equation:
7.5s + 15h - (3s + 15h) = $41.25 - $30
4.5s = $11.25
s = $2.50
With the cost of a streamer found, substitute s = $2.50 into the second original equation:
2($2.50) + 4h = $11
$5 + 4h = $11
4h = $6
h = $1.50
Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.50.
Final answer:To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.Explanation:To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.From the first purchase:3s + 15h = $30From the second purchase: 2s + 4h = $11Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:7.5s + 15h = $41.25Subtract the first equation from this new equation:7.5s + 15h - (3s + 15h) = $41.25 - $304.5s = $11.25s = $2.50With the cost of a streamer found, substitute s = $2.50 into the second original equation:2($2.50) + 4h = $11$5 + 4h = $114h = $6 h = $1.50Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.
Use long division to write the fraction 2/9 as a decimal
Answer:
.2 repeating
The drawing will help
If a cube has the area of 144 m^2 on each face, then what would the surface area be?
Answer:
[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]
Step-by-step explanation:
We have been given that a cube has the area of 144 m^2 on each face.
We know that a cube has 6 faces, so total surface area of given cube would be 6 times area of its one face.
[tex]\text{Surface area of cube}=6\times 144\text{ m}^2[/tex]
[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]
Therefore, the total surface area of the cube would be 864 square meters.
Answer:
the answer will be 864 m^2
Step-by-step explanation:
6*144 m^2 = 864 m^2
3x - 1 + 9x - 7 + 19 = 180 what does x equal
Answer: x≈ 14 . 08
Step-by-step explanation:
Given :
3x - 1 + 9x - 7 + 19 = 180
The first thing is to collect the like term , then we have
3x + 9x - 1 - 7 + 19 = 180
12x + 11 = 180
subtract 11 from both sides
12x = 180 - 11
12x =169
divide through by 12
x = 169/12
x = 14.083333333333
x≈ 14 . 08
What is the slope of line a?
3/4
-4/3
-3/4
4/3
Answer:
The correct slope is 3/4
Step-by-step explanation:
If we take (0,1) and (4,4) as our points, we find (4-1)/(4-0)=3/4
Hope this helped!
3h - j when h = 8 and j = 11
I DO NOT KNOW HOW TO DO THIS. PLEASE PROVIDE AN EXPLANATION!
Simplify
Answer:
[tex]x^{4} -3x+2x^{3} y[/tex]
Step-by-step explanation:
use photo math and it will help with any math problem
do exponents first!
2x^5 = 32x
-6x^2 = -36x
4x^4y= 256xy
32x-36x+256xy/2x
Compare like terms, 32x-36x = -4x^2
-4x^2+256xy/2x
do, -4x^2=-16
-16+256xy/2x
Thats all, hope this is helpful!!!!!!!(:
How do you solve the problem 4 2/3×13 using common core math
3*4³ Simplify answer 30 points
Answer:
the answer is 192
Step-by-step explanation:
because 4^3 is 64
and if you multiply it by 3 it will give you 192
your welcome have a nice day!
Answer: 192
Step-by-step explanation:
3*4³
Since there is an exponent we have to do that first
4³
4*4*4=64
Plug 64 in 4³'s place
3*64
=192
(05.01 MC)
Which statement best describes the area of Triangle ABC shown below?
A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 5, vertex B is on ordered pair 5 and 2, and the vertex C is on ordered pair 3 and 2.
It is one-half the area of a rectangle with sides 2 units × 3 units.
It is twice the area of a rectangle with sides 2 units × 3 units.
It is one-half the area of a square of side length 3 units.
It is twice the area of a square of side length 3 units.
Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
we have the coordinates of triangle ABC
A(4,5),B(5,2),C(3,2)
Plot the coordinates of triangle to better understand the problem
see the attached figure
step 1
Find the area of triangle ABC
The triangle ABC is an isosceles triangle `(AB=AC)
The area of triangle ABC is
[tex]A=\frac{1}{2}(BC)(AM)[/tex]
we have
[tex]BC=5-3=2\ units[/tex] ---> difference of the x-coordinates
[tex]AM=5-2=3\ units[/tex] ---> difference of the y-coordinates
substitute
[tex]A=\frac{1}{2}(2)(3)=3\ units^2[/tex]
step 2
Find one-half the area of a rectangle with sides 2 units × 3 units
[tex]A=\frac{1}{2} (2)(3)=3\ units^2[/tex]
therefore
The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units
Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
Which expressions are equal to 9/41. If u answer I’ll give you best brainliest
Option a: Sin F equal to [tex]\frac{9}{41}[/tex]
Option e: Cos G equal to [tex]\frac{9}{41}[/tex]
Explanation:
Option a : Sin F
Let us determine the value of Sin F from the right triangle.
The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]
Hence, Option a is the correct answer.
Option b : Cos F
The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option b is not the correct answer.
Option c: tan F
The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option c is not the correct answer.
Option d : Sin G
The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option d is not the correct answer.
Option e : Cos G
The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]
Hence, Option e is the correct answer.
Option f : tan G
The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option f is not the correct answer.
Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G