Answers
Related Questions
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answers
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.
Answers
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Answer:
Step-by-step explanation:
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
Answers
expand and simplify 3(3x-4)-2(2x-1)
Answers
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answers
Answer:
Step-by-step explanation:i need points sorry
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answers
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23
Answers
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation.
Answers
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
Simplify the following expression.
(5^3)^5
Answers
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
I will give BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answers
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answers
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
Learn more here:
https://brainly.com/question/11703625
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answers
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/10629211
1500 divided by 3500 would be?
Answers
( also if you can put brainliest that would help a lot it’s ok if not tho )
Answer:
0.42857142857
Step-by-step explanation:
correct me if im wrong
what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³
Answers
The terms in which value of x when substituted leaves final value of p(x) = "0".
Here, x - 2 is factor. So value of x is 2.
Substituting value of x we get,
p(x) = x3 - 3x + 5a
p(2) = 2*3 - 3(2) + 5a
0+ 8-6 + 5a
-2 = 5a
a= -0.4
Plz mark me as brainliest
if sinA=1/2than find tan A
Answers
Step-by-step explanation:
Here's the answer I hope it will help you
Answer:
Step-by-step explanation:
From the Pythagorean Theorem
a^2 + b^2 = c^2
a = 1
b = ?
c = 2
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 4 - 1 = 3
b = sqrt(3)
Tan(30) = opposite / adjacent.
adjacent = sqrt(3)
Tan(30) = 1/sqrt(3)
=========
If you need a decimal, it is
1 / 1.321
tan 30 = 0.5774
Anyone know the answer to this?
Answers
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answers
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
Simplify five to the power of -4 over five to the power of three plzzzz answer
Answers
Answer:
5^-4= 0.0016
5^3= 125
Step-by-step explanation:
15 points! Please I need some help this is due ...
Answers
Answer:
The answer above is correct
Drag and drop the angle pairs to correctly match their description.
Answers
Answer:
<XAW and <UAY are vertical angles
<XAW and <XAZ are complementary angles
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answers
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
change 84cm into mm
Answers
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Please solve x^2 − 3x = −8
Answers
Answer:it will equal 0
Step-by-step explanation:
hopes it helpes you
Answer (it has two solutions):
See photo below
I hope this helps!
solve for y on both i will give brainlizest thankssss & HURRY
2y+7x=4
6x=7-4y
Answers
Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
The formula for finding area of a triangle is: A=( 1/2)bh
Solve the equation for height, h.
SOMEBODY PLS HELP ASAP
Answers
Answer:
h=2Ab
Step-by-step explanation:
if you divide b on both sides you get Ab=1/2h
Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab
what percent is 52.52 million of 142 million
Answers
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answers
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answers
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.