As per linear equation, option-A and option-B are the equations of straight line.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given equations are:
A. [tex]3x + 2y = 8[/tex]
It is an equation of a straight line as it matches the standard form of a linear equation.
B. [tex]y = \frac{x}{2} - 5[/tex]
This is also an equation of a straight line as it matches the standard form of a linear equation.
C. [tex]y = x^{2} + 3[/tex]
It is not an equation of a straight line as it does not match the standard form of a linear equation.
Learn more about a linear equation here: https://brainly.com/question/11897796
#SPJ2
How many congruent faces does the shape below have?
A.
0
B.
1
C.
2
D.
3
Answer:
C. 2
Step-by-step explanation:
It has only 2 congruent faces- bases
Answer: the answer is c which is 2 , 2 faces
Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .
Determine whether the statement is true or false.
When an event is almost certain to happen, its complement will be an unusual event.
Find the distance between the two points
(−12, 8) and (−3, 8)
Answer:
9
Step-by-step explanation:
Plug into Distance formula --> √(-3 - (-12))^2 + (8 - 8)^2
---> 9
Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times the
distance John walked. Interpret the expression 2y + 4 and identify the correct choice.
Answer:
Option DStep-by-step explanation:
Let the distance Brenda walked is B and distance John walked is J.
We have
B = 5Jand
B = 5(2y + 4)Comparing the two equations we see
J = 2y + 4It means 2y + 4 is the distance walked by John
Correct answer choice is D
the diagonal of a rectangular garden measures 111/4m while it's width measures 63/4m . Calculate the perimeter of the garden
Answer:
Step-by-step explanation:
The diagonal of a rectangular garden forms a hypotenuse with the width and length sides. We can use the Pythogorean Theorem to calculate the remaining side.
Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.
W^2 + L^2 = H^2
Enter the data:
(63/4)^2 + L^2 = (111/4)^2
248.06 + L^2 = 770.06
L^2 = 522
L = 22.847 meters
Perimeter is 2W + 2L
Perimeter = 2(63/4) + 2(22.847)
Perimeter = 77.19 meters
Please help me with this
Answer:
8. 133°
9. 124°
Step-by-step explanation:
Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.
8) 94 + 39 = 133
180 - 133 = 47
47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.
180 - 47 = 133°
9)
81 + 43 = 124
180 - 124 = 56 (interior angle)
180 - 56 = 124° (exterior angle)
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=−7
y=x^2, x=y^2
Answer:
X=23>45_78
X=2^3< /7= 8
Y= 8x^
comclucion :
coronita pliss
Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?
A 2/8
B 3/8
C 5/8
D 6/8
Answer:
3/8
(B)
Step-by-step explanation:
3+2+3=8.
There are 3 orange, so 3/8
Answer:
7/8
Step-by-step explanation:
3+3+2=8 but it said probability she selected AN orange marble
Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?
Your chances of having the disease:-
1/100000.0001So your current probability:-
0.0001(0.1)0.00001Answer:
Step-by-step explanation:
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
What will the balance be after 10 years if $1500 is invested at 1.5% interest compounded continuously?
Answer:
A = $1,742.75
A = P + I
Where
P is the principal (1,500.00)
I is the interest (242.75)
Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 1.5/100
r = 0.015 rate per year,
Then solve the equation for A
[tex]A = Pe^{rt}\\A = 1,500.00(2.71828)^{(0.015)(10)}\\A = $1,742.75[/tex]
Summary:
The total amount with compound interest on a principal of $1,500.00 at a rate of 1.5% per year compounded continuously over 10 years is $1,742.75.
im stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
Answer: hii
hopefully this helps you!
Step-by-step explanation:
Simplify the expression.
- Matthew <3
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
I WILL MARK BRAINLIEST
Answer:
B 5
Step-by-step explanation:
it is the same ratio as the red
The figure above includes one cylinder and two identical rectangular prisms. The volume of one rectangular prism is 800 m3. The volume of the entire figure is?
Answer:
1,720m
Step-by-step explanation:
I took the test
You spin the spinner once.
6
3
5
What is P(6)?
Write your answer as a decimal.
4
Answer:
0.25
Step-by-step explanation:
Every number has equal probability here
If v = X + 4t, v is the velocity and X is the displacement, how to find X in terms of t?
[tex]x = vt\\\\\implies x= (x+4t)t\\\\\implies x=xt+4t^2\\\\\implies x -xt= 4t^2\\\\\implies x (1-t) =4t^2\\\\\implies x = \dfrac{4t^2}{1-t}[/tex]
Please help in stuck on this one
Answer:
Step-by-step explanation:
a.
[tex]2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}[/tex]
y=x^2+x+5 How many x-intercepts does the graph of this quadratic have?
Answer:
0
Step-by-step explanation:
Use discramint formula,
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
Here a and b is 1
c is 5 so we have
[tex] \sqrt{ {1}^{2} - 4(1)(5) } [/tex]
[tex] \sqrt{1 - 20} [/tex]
[tex] \sqrt{ - 19} [/tex]
Since the number is negative, we have zero x intercepts.
Which of these figures has a line of symmetry drawn correctly?
Shape A and Shape B
Shape B and Shape D
Shape A
Shape C
Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?
Answer:
sh.299,449.72
Step-by-step explanation:
The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...
FV = P((1+r)^t -1)/r
For the given numbers, the future value is ...
FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72
PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
Help I think it’s probably D
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
A ) 162 3 cm^2
B ) 324 3 cm^2
C ) 648 3 cm ^2
D ) 1296 3 cm ^2
Answer:
B
Step-by-step explanation:
i took the test and got a 100% so ys that the answer.
Answer:
B
Step-by-step explanation:
"lateral" means "belonging to the side".
so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.
so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).
each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).
that means both side angles are 60° each.
and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is
180 - 60 - 60 = 60°
hey, all 3 angles are the same !
that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).
and that means all sides are 18 cm long.
the area of a triangle can be calculated for our scenario in 2 major ways :
1. baseline × height / 2
2. Heron's formula (since we know all 3 sides) :
A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
I don't know which one your teacher wants you to use.
so,
1.
the height we get via Pythagoras
leg² = (baseline/2)² + height²
18² = (18/2)² + height²
324 = 81 + height²
81×4 = 81 + height²
81×3 = height²
height = sqrt(81×3) = 9×sqrt(3)
the area of the triangle is
18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²
2.
s = (18+18+18)/2 = 54/2 = 27
A = sqrt(27(27-18)(27-18)(27-18)) =
= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²
the total lateral area is then
4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²
oh, I see, i think you did not include the square root in the answer options. that is confusing.
but as you can see, option B must be correct.
help i dont know how to do this and i forgot the study guide
Answer:
number 1 is a
Step-by-step explanation:
I don’t know the rest tho but good luck
How many feet are represented by a 4 inch line if it is drawn to a scale of 1/2 inch equals 1 foot
Answer:
8 feet are represented by a 4-inch line.
Step-by-step explanation:
Scale:
1/2 (0.5) in. = 1ft
1/2x = 1
x = 2
4x in. = ? ft
4(2) in = ? ft
4 x 2 = 8
8 feet are represented by a 4-inch line.
hope this helps!! p.s. i really need brainliest :)
What is the graph of 3x + 5y = -15?
5
5
4
4
3
3
3
2
2
2
1
1
1
1 2 3
b
1 2 3 4 5
4-3-2-11
1 2 3 4 5 x
54-3-2-1
2+
34
1-3-2-1
2
م ح لي د کا
2
-3
5
5
5
o
O
5
4
3
Answer:
Can you put the picture up so we can see the graph?
Please help fast!!!!
How many solutions does the equation y + 12 = y + 10 + 2 have?
O Zero
One
O Two
O Infinitely many
Answer:
Infinitely many
Step-by-step explanation:
Given:
[tex]y + 12 = y + 10 + 2[/tex]
Solve:
Subtract y from both sides
[tex]y+12-y=y+10+2-y[/tex]
Simplify
[tex]12=10+2[/tex]
Now add : 10 + 2
[tex]12=12[/tex]
Both side are equal
Since both sides are equal then answer = Infinitely many
[RevyBreeze]
Yosef waters a date tree and a lemon tree. The lemon tree is 8 feet tall, The
equation I) 3 x 8 can be used to find the height of the date tree. How do the
heights of the two trees compare?
The lemon tree in 3 feet taller than the date tree.
The lemon tree is 3 times as tall as the date treo,
The date tree is 3 feet taller than the lemon tree.
The date tree is 3 times as tall as the lemon tree,
Done -
My Progress
Che 2023 by Commanches. Al rights reserved. These material, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Cumiculum
The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.
What does division mean?Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
What is the relationship between the trees?Height of the date tree / height of the lemon tree
3 x 8 /8 = 3
To learn more about division, please check: https://brainly.com/question/13281206
CAN SOMEBODY HELP ME PLEASE
Answer:
g-intercept: (0, 48)n-intercepts: (6, 0), (-4, 0), (2, 0)Step-by-step explanation:
The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.
g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48
The g-intercept is (0, 48).
__
The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:
n -6 = 0 ⇒ n = 6
n +4 = 0 ⇒ n = -4
n -2 = 0 ⇒ n = 2
The n-intercepts are (6, 0), (-4, 0), and (2, 0).
Answer:
g intercepts: 48
n intercepts: 6, -4, 2
Step-by-step explanation:
Part 1:
To find the g intercepts, set n to 0 everywhere.
You then get:
g(0) = (-6)*(4)*(-2)
g(0) = 48
Part 2:
To find the n intercepts, set g to 0.
You then get:
(n-6) * (n+4) * (n-2) = 0
Solve for n in each part seperately to find all intercepts:
n-6 = 0 -> n = 6
n+4 = 0 -> n = -4
n-2 = 0 -> n = 2
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
scale factor is 3/2
Step-by-step explanation:
to find scale factor, new image divided by original image.
Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.
[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]
[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]
[tex]\frac{9}{6}[/tex]
reduce
[tex]\frac{3}{2}[/tex]
£ 686 is shared out between David, Steve and Mike. Mike gets twice as much as Steve who gets twice as much as David. How much does Mike get?
Answer:
£ 392
Explanation
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,
which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a
personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 2
units of the mini-blue model and 12 units of the media-blue model per hours, and Line 2 can
assemble 5 units of the mini-blue model and 5 units of the media-blue model per hours. The
company needs to produce at least 20 units of the mini-blue model and 70 units of the media-blue
model to fill an order.
Let x = the number of hours for Line 1
Let y = the number of hours for Line 2.
Write the system of inequalities that represents the minimum number of Blu-ray disc player that
need to be produced to fill the order.
Answer:
This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit
