Answer:
y=x-1
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negativeThe most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way
First, we'll need to find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have two points, which is needed, but let's label their values in order to avoid any confusion:
[tex]x_1= 7\\y_1=6\\x_2=-2\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-6}{-2-7}[/tex]
Subtract the numbers
m=[tex]\frac{-9}{-9}[/tex]
Divide
m=1
The slope of the line is 1
So far, we can write the equation of the line as this:
y=1x+b, or y=x+b
We'll need to find b
As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b
Taking (7, 6) for instance, substitute 7 as x and 6 as y:
6=1(7)+b
Multiply
6=7+b
Subtract 7 from both sides
-1=b
Now substitute -1 as b:
y=x-1
Hope this helps!
Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry and Ron paid, including tax.
9514 1404 393
Answer:
$27.54
Step-by-step explanation:
The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.
($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08
= 1.08($12.50 +13.00)
= 1.08·$25.50
= $27.54
Together, Ron and Harry paid a total of $27.54.
In the equation 80 divided by 10=8 the number 80 is the
What is the value of y=3x−1 when x=4?
Answer:
11
Step-by-step explanation:
y=(3 x 4)-1
y=12-1
y=11
Answer:
y = 11
Step-by-step explanation:
Substitute the value for x.
[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]
if 2y - 7 = 18 what is the value of 2y + 3
(-5+2)•(-1/2)
I don’t know how to do this problem. Would anyone be able to assist? Thanks!
Answer:
3/2 or 1 1/2 or 1.5
Step-by-step explanation:
first do the equations in each parentheses:
(-5+2) = -3
(-1/2) = -1/2
then multiply both sides:
-3 • -1/2 (which is the same as -3 • -1 over 2)
= 3/2 or 1 1/2 or 1.5
HELP! GIVING OUT BRAINLIEST!
find the probability that the sum of 2 randomly chosen numbers (0,1,2,3,4,5,6,7,8,9) is no greater than 10
Answer:
1 po iyan tama iyan trust mr
It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?
Answer:
it could either be 35 or 70
Step-by-step explanation:
Find the area of the shaded
figure.
Answer:
58 sq. units
Step-by-step explanation:
1. split them into 3 shapes
of course it is possible to count them all out, but the more efficient way would be to find the area of each shape and the add them all up.
2. find the area of rectangle a
so you can split one into a recantagle that separates itself from the 2 squares at the bottom
area formula: L x W
so the length of that rectangle is going to be 5, once you count the scares of that side. the width would be 10 when you count the top side of how wide it is.
5 × 10 = 50
3. find the area of the 2 squares
you don't need to find both, because one you find one, you find the other. so the length for the square would be 2 while the width is 2 as well.
2 × 2 = 4
so the area is 4, for each square.
50 + 4 + 4 = 58
Please help me! Thanks in advance
Answer:
the answer is
Step-by-step explanation:
that im not good with math so good luck
is -4.9 bigger or smaller then 3.6
Answer:
Smaller
Step-by-step explanation:
On the number line, 3.6 is on the right side while -4.9 is on the left side. The closer to the right on the number line, the bigger the number.
Answer:
its smaller because negative numbers are to the left of positive numbers and when a number is to the left of another number its less than
A ball was thrown off of a 32 foot bridge and reached a maximum height of 50 feet after 3 seconds. How long
was the ball in the air?
a. 10 seconds
b. 6 seconds
c. 32 seconds
d. 8 seconds
A place kicker expects to make 75% of his field goal attempts this season.If he attempts 36 feild goals this season how many is he exspected to make? show your work
Answer:
27
Step-by-step explanation:
75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.
"Four is three times the sum of a number and two."
turn this into an equation
Answer:
4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)
Step-by-step explanation:
Four is : 4=
3 times the sum : 3(_+_)
sum of a number and two : n+2
4=3(n+2)
Hello! :)
4=3(z+2)
Explanation:
4 is means 4=
3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:
3(z+2)
Let our number be z.
The sum of two numbers means we add the numbers together.
So, our equation looks like this:
4=3(z+2)
Hope it helps you!
If you have any query, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
The bill at the restaurant totaled $45.60. Shawn wants to leave a 15% tip. How much would Shawn leave for a tip
Answer:
$6.84Step-by-step explanation:
[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]
Which of the following is a run on sentence
Answer:
It is defiantly either C or D.
Step-by-step explanation:
It's not A because it has a period with means there is 2 sentences and not 1.
It's not B because it does not have multiple commas.
It might most likely be C because it has the most amount of commas.
If I'm wrong about C, than try D.
Elizabeth wants to buy her mother a pair of pearl earrings for Mother’s Day. The earrings cost $50. The sales tax rate is 7.5%. What is the total amount Elizabeth will have to pay to purchase this gift?
Answer:
$46.25
Step-by-step explanation:
50 divided by 7.5% equals 3.75
Minus 3.75 from 50 to find the removed amount.
Answer:
Cost of the gift = $53.75
Step-by-step explanation:
Total cost of the gift = cost of the earrings + (cost of the earrings × sale tax)
Cost of the gift = $50 + ($50 × .075) 7.5% = .075
Cost of the gift = $50 + $3.75
Cost of the gift = $53.75
Solve for y.
2- -3 = y
y =
Answer:
y=5
Step-by-step explanation:
the way you do this is by adding 2 and 3 because two negatives make a positive.
A t-shirt increased in price by 1/4. After the increase, it was priced at £65. What was the original price of the t-shirt?
Answer:
52
Step-by-step explanation:
Given:
1/4
Price at 65
Solution:
Let x be the original price
Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]
Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]
Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]
Reduce the fraction: x×4+x=65×4
Multiply the monomials: 4x+x=65×4
Combine like terms: 5x= 65×4
Calculate the product or quotient: 5x= 260
Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]
Calculate the product or quotient: x = 52
get the result: x = 52
Answer: x = 52
If x+1=7, what is the value of x2 + 22 +1?
Answer:
59
Step-by-step explanation:
x+1 = 7
Subtract 1 from each side
x+1-1 =7-1
x =6
x^2 + 22 +1
6^2 +22+1
36+22+1
36+23
59
Answer:
[tex]x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34[/tex]
Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length
Answer:
5 inches
Step-by-step explanation:
To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin 3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.
Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.
PLEASE HELP!!!
Find the slope of the line graphed below.
Answer:
slope = -8/5
Step-by-step explanation:
m= y2-y1/x2-x1
m=(4-(-4))/(-1-4)
m= 8/-5
Answer:
-8/5
Step-by-step explanation:
A cyclist rode at an average speed of 15 mph for 30 miles. How long was the ride? 0. 5 hours 1 hour 2 hours 3 hours.
Answer:
2 Hours
Step-by-step explanation:
using the relationship
distance = speed × time, then
time =[tex]\frac{distance}{speed}[/tex] =[tex]\frac{30}{15}[/tex] = 2 hours
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
Determine which of the following statements are NOT TRUE for similar isosceles trapezoids ABCD and WXYZ. Select all situations that apply.
Answer:
Step-by-step explanation:
Answer:
AD is not parallel to BC -- they are going opposite directions
AD does not equal DC -- there is nothing saying that they are congruent in length
YX is not parallel to ZW -- they are going opposite directions
Solve the equation for x.
5x = -60
Answer:
x=-12
Step-by-step explanation:
5x/5=1x = -60/5=-12
x=-12
Answer:
-12
Step-by-step explanation:
5x=-60
Divide both sides by 5 to isolate
X=-12
Someone help please
Answer:
[tex]6^\frac{1}{10}[/tex]
Please need help 15 points
1.6x – 2.88 = 3.4x
X=?????
Answer:
x = -1.6
Step-by-step explanation:
Solve for x:
Combine like terms. Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:
-2.88 = 1.8x
Solve for x by dividing both sides by 1.8:
x = -2.88/1.8, or x = -1.6
2 √7+3√7
can you guys give me the answer and explanation
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
This is similar to collecting like term in algebra
2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]
= (2 + 3)[tex]\sqrt{7}[/tex]
= 5[tex]\sqrt{7}[/tex]
PLEASE HELP NUMBER 3 ASAP ILL GIVE BRAINLIEST THANKS
Answer:
Sarah gets 2 A's.
Step-by-step explanation:
Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.
Hope you have a great day,
Ginny
Calculate the perimeter
Answer:
48m
Step-by-step explanation:
12m - 4m = 8m / 2 = 4
12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48
