What is the equation of the line that passes through the points (-6,-7) and (6,3)
Answer:
[tex]y=\frac{5}{6} x-2[/tex]
Step-by-step explanation:
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.
We are given two points that the line passes through, but we are not given the slope.
We can find the slope by using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.
Substitute (-6, -7) and (6, 3) into the slope formula:
[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.
Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).
[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]Distribute 5/6 inside the parentheses.
[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]Add 3 to both sides of the equation.
[tex]y=\frac{5}{6} x-2[/tex]This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.
Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
w - 7 < -22
Step-by-step explanation:
Answer:
w - 7 < -22
Step-by-step explanation:
This should be correct. Let me know!
solve by substitution
y=6x-23, 4x-5y=37
Answer:x=3 , y=-5 OR (3,-5)
Step-by-step explanation:
What’s is
the slope of the line
that contains these Points -2,8) (1,2)(2,0)(4,-4)
Solve with algebra
Answer:
-2x
Step-by-step explanation:
1.) you pick two points I am going to use (2,0) and (4,-4)
2.) use the slope formula y2-y1/x2-x1
3.) substitute the points into the equation -4-0/4-2
4.) solve the equation (-4-0= -4) / (4-2= 2)
5.) the slope is -4/2 or -2
i rly need plz help so plz help :/
Answer:
Step-by-step explanation:
Follow PEMDAS
P = parenthasees
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
There are no P or E or M
so divide
-3 = h + 4
then we just subtract four on both sides
h = -7
For a business meeting, Jenna is making copies of her presentation. The more people
who plan to attend, the more copies Jenna will have to make.
Which of the variables is independent and which is dependent?
Independent (Select]
<
Dependent [Select ]
Answer:
Independent: The people who attend.
Dependent: The copies she has to make.
Step-by-step explanation:
She will make a certain amount of copies depending of how many people attend.
y=t+a/t-b
express t in terms of a, b and y.
t-b
Answer:
t=(a+by)/(y-1)
Step-by-step explanation:
(t-b)y =t+a
ty-by = t+a
ty-by=t+a
ty-by=a+by
t(y-1)=a+by
thus,
t=(a+by)/(y-1)
Which of the following is a true statement?
The opposite of −45 is equal to the absolute value of −45.
The opposite of 45 is equal to the absolute value of −45.
The opposite of −45 is not equal to the absolute value of 45.
The opposite of 45 is equal to the absolute value of 45.
Answer:
The opposite of 45 is equal to the absolute value of -45.
Absolute value means switching to to a negative if it's a positive and if it's a negative to a positive. For 0, it remains 0 and doesn't switch to a -/+.
Answer:
The opposite of 45 is equal to the absolute value of -45
Step-by-step explanation:
Hope this helps!
At grocery mart,apples are on sale 6 apples for $3.54. find the unit cost?
Answer:
$.59 per apple
Step-by-step explanation:
The unit cost is the price divided by the number of items
3.54 / 6
.59
$.59 per apple
Answer:
0.59 or .59
Step-by-step explanation:
3.54 divided by 6
In the morning a group of hikers hiked 3 ½ miles, took a break, and then hiked another 2 ¾ miles. The group then stopped for lunch. In the afternoon, the group the hiked 4 ¼ miles, and took another break. How many more miles do they need if the whole trail is 14 miles long?
Answer:
3 2/4
Step-by-step explanation:
1/2 is equivalent to 2/4 so you add 3 2/4 + 2 3/4 and that = 6 1/4 and its simple math from there on, 6 1/4 + 4 1/4 = 10 2/4 finally 14 - 10 2/4 = 3 2/4
5.5 miles are left to cover.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
In the morning a group of hikers hiked 3 ½ miles
and then hiked another 2 ¾ miles. then group the hiked 4 ¼ miles.
Total miles to cover = 14 miles
So, number of miles to be driven
= 14 - ( 3 ½ + 2 ¾ + 4 ¼)
= 14 - ( 7/2 + 11/4 + 17/4)
= 14- (14/4 + 11/4 + 17/4)
= 64 - 42 / 4
= 22/4= 11/2
= 5.5 miles
Hence, 5.5 miles are left to cover.
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A hot air balloon is flying 260 feet in the air. It descends at a rate of 10 feet per second. Identify the rate of change
Answer:
26 secs until reaching ground level
Step-by-step explanation:
260/10=26
if the area of a right isosceles triangle is 128 sq . m, what will be length of the identical side of the triangle
Let's see. What is a right isosceles triangle?
A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.
What is the formula for the area of an isosceles triangle?
When y = the identical side lengths of the triangle,
and A = area,
(y × y) ÷ 2 = A
Note: Remember to compute from left to right! :)
We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.
Now, we can plug-in our values!
(y × y) ÷ 2 = 128
(y × y) = 64
Now, we square root both sides!
y = √64
y = 8
The length of the identical sides of the triangle is 8 meters.
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that area of an isosceles triangle is 128m² .
And the triangle is right Angled ∆ .
So , the measure of sides along 90° that is perpendicular and the base will be equal .
Let us say that each of the equal sides is x .
Then , we can find the area of the triangle as ,
[tex]\boxed{\bf{\red{ Area_{triangle}=\dfrac{1}{2}\times(base)\times(height)}}}[/tex]
Now , here substitute the respective values ,
[tex]\implies \sf \dfrac{1}{2}\times(base)\times(height)=128m^2[/tex]
[tex]\sf\implies \dfrac{1}{2}\times x \times x = 128m^2[/tex]
[tex]\sf \implies \dfrac{x^2}{2}=128m^2[/tex]
[tex]\sf\implies x^2=128\times2 m^2[/tex]
[tex]\sf\implies x^2=256 m^2[/tex]
[tex]\sf\implies x=\sqrt{256m^2}[/tex]
[tex]\underline{\boxed{\red{\sf\longmapsto x=16m}}}[/tex]
Hence the value of value of identical side of the triangle is 16m .
Write two inequalities that would have the solution set as graphed below.
Answer:
The answer is x > -1
Step-by-step explanation:
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included. So in conclusion, Any number could be used to represent x as long as it is a greater number than -1. I hope this makes sense.
x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
x>-1 and x<-2 are the solutions of the given graph
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included.
Any number could be used to represent x as long as it is a greater number than -1.
Hence, x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
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You earn $8.50 per hour and work 30 hours this week. What is the straight time pay?
Answer:
255
Step-by-step explanation:
Please Help me with question
Name: Pres
How many 7/8 cup servings are in a pitcher that contains 8 1/4 cups of fruit punch?
Answer:
9 and 3/8 left over
Step-by-step explanation:
to calculate this you have to convert the cups to eighths so:
8 cups*8= 64/8
1/4*2= 2/8
64/8+ 2/8= 66/8
66 divided by 7= 9 and 3/8
Show work please I’ll mark brainliest
Answer:
2 and 4
Step-by-step explanation:
y = 1.6x + 48
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
A. 7 1/2
B. 10 1/2
C. 12
D. 14
Answer:1
14
Step-by-step explanation:
substitue 60 into 1.6
y = 1.6(60) + 48
96 + 48
144
2
If the equality symbol of an equation is changed to an inequality symbol that does not includes equal to,
why is the solution to the equation always not included in the solution to the inequality?
The solution to the equation always not included in the solution to the inequality
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Two or more expressions with an Equal sign is called as Equation.
Where as a relationship between two expressions or values that are not equal to each other is called 'inequality.
Both inequality and equations are different,
Inequalities and equations are both math statements that compare two values.
Equations use the symbol =
Inequalities will be represented by the symbols <, ≤, >, and ≥.
Hence, the solution to the equation always not included in the solution to the inequality.
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For a charity race car event a sponsor committed to
give you a flat fee of $100 plus S10 for every lap I
that was completed.
Write an expression for the total amount you will
collect from your sponsor at the end of the race car
event.
help me plz its urgent
Answer:
2 and 3
Step-by-step explanation:
Barbra has a part-time lawn-mowing job. The table below shows the amount of money Barbra earned for different numbers of hours of work: Barbaras earnings from lawn mowing number of hours worked money earned (dollars) 5 40 6 48 56 part A: what are the missing numbers in the table? Show your work. (4 points) part b. Barbara also works Part time at a theme park. To the money she earns so 1:9.create a table to show the money earned by Barbara for 5,6 and 8 hours of work at the theme park (3 points) PartC: how many more dollars does Barbara ern working fat the theme park for 5 hours then mowing lawns for 5 hours? Show your work
Answer:
it isn't obvious from your problem statement where the missing numbers are in your table. We have assumed that Barbara charges the same hourly rate for all mowing jobs, so the red numbers were the ones that were missing.
Since we know our times-8 and times-9 times tables, all the work is mental. There is nothing to show. Each number in the Dollars column is 8 times the number in the Hours column.
B) See the table on the right. Again, we know our times tables. 5*9 = 45, and so on.
C) 45 -40 = 5
Barbara earns 5 dollars more at the theme park for 5 hours' work than she does mowing lawns. (Check: The rate difference is $1 per hour, so the difference in earnings will be $5 for 5 hours.)
Step-by-step explanation:
79x10 to the power of 7 +6.5x10 to the power of 6
Express your answer in scientific notation
Answer: 10⁶⁵⁰⁰⁰⁰⁷ × 79
What’s -4•9-3=
And the dot is multiplication!
Answer:
-39
Step-by-step explanation:
Answer:
-39
Step-by-step explanation:
1. -4 × 9 -3
2. -36-3
3. -39
plzzzz tell me what these are called in the answer first one get it
Graph the exponential function
f(x)=2/5)x
Answer:
Step-by-step explanation:
20 mi/h=___________ ft/hr
Answer:
105600
Step-by-step explanation:
Answer:
105,600 feet per hour
Step-by-step explanation:
1 mile = 5,280 feet
5,280 feet x 20 miles = 105,600 feet
Hope I helped!
A plumber charges $25 for a service call and $50 per hour of service.
Write an equation for the cost, c, after h hours of service. If a plumber
spent 3 and a half hours at my house, how much is my bill?
Equation:
Answer:
Answer:
25+50h=c
$200 is the your bill
Step-by-step explanation:
50×3.5=175
175+25=200
what expression is equivalent to 6(3+0.5)
A.6(3)+0.05
B.(6+3)+(6+0.5)
C.6(3)+6(0.05)
D.6(3)x6(0.05)
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5
Answer:
y=1/5x+12/5
Step-by-step explanation:
The slope is the same