Answer:
y = 5x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 6, - 2) into the partial equation
- 2 = - 30 + c ⇒ c = - 2 + 30 = 28
y = 5x + 28 ← equation of line
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
Step-by-step explanation:
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement is therefore ~p → ~q.
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
What is additive inverse?The additive inverse of any number is defined as when it is added to the number it gives zero as a result.
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q
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Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
9 x 10' =
______________________
Answer:
9 x 10 = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
9x1=9 then add the zero
=90
A. 67
B. 47
C. 52
D. 26
Answer:
Step-by-step explanation:
22 - 55 + 4x = 2x + 7
4x - 33 = 2x + 7
2x - 33 = 7
2x = 40
x= 20
22 - 55 + 4(20) = 2(20) + 7
80 - 33 = 40 + 7
47 = 47
answer is B
Answer:
The answer is B
Step-by-step explanation:
distributive 8 (-b-4)
Answer:
-8b -32
Step-by-step explanation:
8 (-b-4)
Distribute
-8*b -4*8
-8b -32
To decorate for a party, Simon needs 1,850 centimeters of colorful streamers. If the ratio of meters to centimeters is 1 : 100, how many meters of streamers does he require?
Answer:18.5m
1m=100cm
Let lenght of streamers in meters be x
Then(1/100)=(x/1850)
(1850/100)=x
18.5m=x
Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.
Answer is 12
I hope this helps enough
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Steps to solve:
a - 2(4 - a) = 7a - 12
~Distribute left side
a - 8 - 2a = 7a - 12
~Combine like terms on the left side
-a - 8 = 7a - 12
~Add 8 to both sides
-a = 7a - 4
~Subtract 7a to both sides
-8a = -4
~Divide -8 to both sides
a = 1/2
Best of Luck!
Joseph drove to Carly's house for dinner. He was away from his house for 2 hours. He spent 50 minutes at Carly's house. Driving to and from Carly's house he drove at a speed of 45mph. How far away from Carly does Joseph live?
Answer:
I'd say about 30 minutes away
Step-by-step explanation:
PLEASE HELP FAST! 50 POINTS!
A three digit number when divided by 5 has an even quotient. When it is divided by 3, it also has an even quotient.
A, What is the digit in the one's place?
B, What can the number be?
Answer:
A. 0
B. there are many options for this but just some examples are
120, 150, 180, 210, 240, 270, 300, 330, 360, 390
Step-by-step explanation:
the rest of the options are
420, 450, 480, 510, 540, 570, 600, 630, 660, 690,
720, 750, 780, 810, 840, 870, 900, 930, 960, 990.
what is the property of (4y+1)x 0=0
Answer:
lemme guess algebra test?
Step-by-step explanation:
Someone plzz answer only number 9 easy!!
(Correct will mark as brainliest)
Thanks guys
Answer:
4×102 +5×101 +6×100 +8 × 10-1 +1 × 10-2
I hope that made sense lol
Answer:
400 + 50 + 6 + 0.8 + 0.01
Step-by-step explanation:
This is the answer because:
1) Expanded form means to write a number with its full value. It is shown as a sum of each digit multiplied by its matching place value
2) Therefore, the answer is 400 + 50 + 6 + 0.8 + 0.01
Hope this helps!
Solve for n.
n + 1 = 4(6-8)
A.n=1
B.n=8
C.n=11
D.n=16
Simplify 6 - 8 to -2
n + 1 = 4 * -2
Simplify 4 * - 2 to -8
n + 1 = -8
Subtract 1 from both sides
n = -8 - 1
Simplify -8 - 1 to -9
n = -9
Check answer:
n + 1 = 4(6 - 8)
Let n = -9
-9 + 1 = 4 * (6 - 8)
Simplify 6 - 8 to -2
-9 + 1 = 4 * -2
Simplify 4 * -2 to -8
-9 + 1 = 8
n = 8
Answer:
n=9
Step-by-step explanation:
n+1=4(6-8)
We move all terms to the left:
n+1-(4(6-8))=0
We add all the numbers together, and all the variables
n+1-(4(-2))=0
We add all the numbers together, and all the variables
n+9=0
We move all terms containing n to the left, all other terms to the right
n=9
The answer should be n=9
Which equation describes a line of symmetry for the figure shown? x = 0 y=−x y = x y = 0
Answer:
y=0
Step-by-step explanation:
Hope this helped!!!
Help me please this is due in 10 minutes, please help !!!
Answer:
Step-by-step explanation:
the answer is d
Write 0.2 repeating as a fraction in simplest form.
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
Thus
0.22..... = [tex]\frac{2}{9}[/tex]
Answer:
2/9
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x =
Thus
0.22..... =
A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?
8. Fill in the blank. The ___
form of the equation of a line with a slope
m passing through (x1y1) is y- y1= m(x-x1).
Which type of letters are used to name points?
Answer:
Points are Labeled with capital Letters, such aa P.
Enter the decimal value positioned at point B.
Answer:
-2.25
Step-by-step explanation:
each mark represents 0.25
Decimal value positioned at point B is -2.25
What is Number system?A number system is defined as a system of writing to express numbers.
A number line can be defined as a pictorial representation of numbers on a straight line.
In the given number line each line represents 0.25 (zero point two five value).
As B is in between -2 and -3.
So B value is between minus two and minus three
The values which can be between -2 and -3 are -2.25, -2.5, -2.75.
The decimal value positioned at point B is -2.25
Hence decimal value positioned at point B is -2.25
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10) Select the relationship between each pair of quantities
that is not proportional.
A. A small pizza costs $9.00 and each additional topping cost
$0.75
B. A health club charges $45 per month.
C. A car travels 60 miles in 1 hour 120 in 2 hours and 180 miles
in 3 hours
D. A student earns $12 for each hour she tutors.
Answer:
A.
Step-by-step explanation:
Small pizza would have 12 toppings. Becuase $9.00 divided by 0.75 is 12. Meaning there would be 12 toppings on a small pizza.-E.A.
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
Is it B or C? I forgot for when you simplify if you either multiply or add.
Answer:
B
Step-by-step explanation:
[tex](w^8)^8=w^{8\times8}=w^{64}[/tex]
But,
[tex]w^8\times w^8=w^{8+8}=w^{16}[/tex]
which shows the image of rectangle ABCD after rotation (x,y) (-y,x)
Answer:
The first one
Step-by-step explanation:
the C y value is 4 and the first one's C' x value is -4
proving x=>-y
Answer: The correct answer is A
Step-by-step explanation:
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer: The answer is D 2,6000.00
Answer:
D
Step-by-step explanation:
525600 written out plz nd thxs
Answer:
Five hundred twenty-five thousand six hundred
Step-by-step explanation: I am assuming you mean word form?
Answer:
five hundred twenty-five thousand, six hundred
Step-by-step explanation:
HELP SOS!!!!!!!!!!!!!!!!!!!!!!!
Defined as a set of all points equidistant from a given point.
A)
arc
B)
angle
C)
circle
D)
line segment
Answer:
C
The answer is C and the distant from a given point to a point on the Circle is radius
-0.56x+0.26x=6’6
?x=6.6
X=6.6
___
X=??
Answer:
x = -22
Step-by-step explanation:
Solving in steps:
-0.56x+0.26x=6.6-0.3x = 6.6x = 6.6/(-0.3)x = -22