Find the distance between each pair of points (-4,6) and (3,-7)
Answers
Answer:
Here is your answer . Hope this helps you.
Answer:
[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]
Step-by-step explanation:
The formula for calculating the distance between 2 points is:
[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:
x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]
Solve inside the parentheses.
(3--4) = (3+4) = 7 (-7-6) = -13[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]
Solve the exponents.
(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169[tex]d= \sqrt{ (49)+(169)[/tex]
Add.
[tex]d= \sqrt{218}[/tex]
[tex]d=14.76482306[/tex]
If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.
[tex]d \approx 14.76[/tex]
The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.
Related Questions
If one side length of an equilateral triangle is (4mn^3 - 5)yds., what is the perimeter of the
triangle?
Answers
Answer:
[tex] 12m {n}^{3} - 15yds[/tex]Step-by-step explanation:
Given,
One side of an equilateral triangle
[tex] = (4mn^3 - 5)yds[/tex]
Therefore,
Perimeter of the equilateral triangle
[tex] = 3 \times side[/tex]
[tex] = 3 \times (4mn^3 - 5)yds[/tex]
[tex] = 12m {n}^{3} - 15yds(ans)[/tex]
rationalize the following
Answers
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]
(On Rationalizing )
[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]
[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]
[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]
[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]
[tex] = \sqrt{2} - 1(ans)[/tex]
f(3) = 4x^2 – 4x
Find f(-7)
Answers
Answer:
224
Step-by-step explanation:
[tex]f( - 7) = 4( - 7) {}^{2} - 4( - 7) \\ = 196 + 28 \\ = 224[/tex]
Plz answer the question
Answers
Answer:
it's a binomial ............
-5x²-2x³-4x Write the polynomial in standard form. Then identify the polynomial by the number of terms.
Answers
Cubic Trinomial
Answer:
-2x³ - 5x² - 4x and cubic
Step-by-step explanation:
→ Rearrange the polynomial so the highest power is at the start
-2x³ - 5x² - 4x
→ Now look at the highest power and determine the type of polynomial
Cubic
If x/y = 7/3 then find the value of
3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2}3x2+2y2\3x2−2y2
Answers
Answer:
this is the wrong question tipe perperly
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
Answers
B= 180-43=137
C=180-72=108
115+137+108 = 360
Or triangle supplementary angles
So the outer angle is 360
How many different paths are there from the point (0, 0, 0) in three dimensional space to the point (7, 3, 4) if you are only allowed to move in steps of one unit in either the positive x direction, the positive y direction, or the positive z direction. (That is no backtracking is allowed and you can only move in a single direction on a given step)
Answers
Using the fundamental counting principle, it is found that there are 84 different paths.
-----------------------------
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
-----------------------------
The movements are independent, which means that the fundamental counting principle is used.
There are:
7 - 0 = 7 ways to move in the x-direction.3 - 0 = 3 ways to move in the y-direction.4 - 0 = 4 ways to move in the z-direction.Thus, the number of different paths is:
[tex]T = 7 \times 3 \times 4 = 84[/tex]
A similar problem is given at https://brainly.com/question/24067651
Sandra decided to bake blackberry pies to sell at the county fair. She had $180 in her savings
account. She spent $130 of her savings buying all the ingredients. At the fair, she sold 25
pies and charged $9 per pie. She took the money she earned from the fair and added it to
her savings account. How much money is in Sandra's savings account now?
Answers
Answer:
275
Step-by-step explanation:
180-130=50
25*9=225
225+50 = 275
On Monday it rained for 3 hours and 20 minutes. The total rainfall amount in that time was 4 inches. What was the average rate of rainfall per hour?
Answers
Answer:
[tex]1\frac{1}{5}[/tex]
~~~~~~~~~~~
4 ÷ 3[tex]\frac{1}{3}[/tex]
4 ÷ [tex]\frac{10}{3}[/tex]
4* [tex]\frac{3}{10}[/tex]
[tex]\frac{12}{10}[/tex]
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
Help me please I need help with domain and range.
Answers
Answer:
[ -2, ∞ ), [ -1, ∞ )
Step-by-step explanation:
Domain: all x values
[ -2, ∞ )
Range: all y values
[ -1, ∞ )
PLZ ANSWER ASAP I WILL GIVE CORRECT ANSWER BRAINLIEST
Which expression shows the distance you would travel from the gym to your science
class in this hallway?
thank you
Answers
Answer:
Option 1
Step-by-step explanation:
The number line indicates that you traveled 12 units to get from the gym to your science class. Option 1 is the only expression that gets you 12, because it's the absolute value of -4, which is 4, + 8.
Martin spent $300 from his savings account on a new bike. He also deposited $300 in his savings account that he earned from selling his used textbooks. Which integer represents the change in Martin's savings? A) $100 B $0
C. -100$ D. -$200
Answers
Answer:
B
Step-by-step explanation:
a money account works in the same way as real things we can touch.
so, when I have 300 apples at a place (e.g. a grocery store), then I take away 300 apples, and then put again 300 apples there - how many apples will be there at that moment ?
we had 300 and took away 300.
300 - 300 = 0
at that moment we have 0 apples.
but then we put again 300 apples there.
0 + 300 = 300
so, we end up with 300 apples. the same number we started with.
and the same way for the savings account.
he takes out $300.
that means he has now $300 less on his account.
and then he adds $300.
so, he added exactly the same amount as he took out earlier, which means nothing else than that he undid his earlier action regarding his bank account.
so, his balance is now exactly the same as before he did the first transaction.
therefore the change is exactly : $0
9. x is directly proportional to y. When x = 4, y = 9. Write an equation
for y in terms of x.
Answers
Answer:
y = 2.25x
Step-by-step explanation:
Given x is directly proportional to y then the equation relating them is
x = ky ← k is the constant of proportion
To find k use the condition when x = 4, y = 9 , then
4 = 9k ( divide both sides by 9 )
[tex]\frac{4}{9}[/tex] = k
x = [tex]\frac{4}{9}[/tex] y ← equation of proportion
Multiply both sides by [tex]\frac{9}{4}[/tex] to clear the fraction
[tex]\frac{9}{4}[/tex] x = y , then
y = [tex]\frac{9}{4}[/tex] x , or
y = 2.25x
Write an equation for the situation then solve for x.
35) A stray dog ate 21 of your muffins. That was 3/4 of all of them! With how many did you
start?
Answers
Answer:
28
.75 * x = 21
x = 21/.75
x=28
Step-by-step explanation:
Answer:
28 muffins
Step-by-step explanation:
Let x = the number of muffins
x*3/4 = 21
Multiply each side by 4/3
4/3 * 3/4x = 4/3 *21
x = 28
You started with 28 muffins
ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?
Answers
Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years
P= 80000
R = 10% '
1st-year amount = 88000
10% compounded annually
If you pay the loan of 55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts
= \frac{55000}{110} \times 100 = 50000
So after the first year, a certain amount is paid, and the remaining amount is will be 50000.
So a certain amount to be paid in 1 year = 88000 -50000 = 38000
A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.
A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022
Learn more about loans here
https://brainly.com/question/9302251
#SPJ1
Please answer the question in the screenshot (#8) Thank you!
Answers
Answer:
282 hours
Jxbskdjjddjjejdjejjd :D
Find the area of 12.5 cm and 5 cm
Answers
Answer:
62.5
Step-by-step explanation:
l*w = a
12.5*5 = 62.5
the area of a rectangle is its width times its height
Pls help I’m really confused
A store pays 5%
commission on the first
$500 in sales and 7% on
sales over $500. Find
the commission on a
$950 sale,
Answers
Answer:
114$
Step-by-step explanation:
the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.
Answers
Answer:
The polygon has [tex]12[/tex] sides.
Step-by-step explanation:
Recall that the expression for finding the measure of one interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex], where [tex]n[/tex] is the number of sides the polygon has (and [tex]n\neq 0[/tex]), which is what we want to find.
Because the measure of one interior angle of the given polygon is [tex]150\textdegree[/tex], we can write the following equation to solve for [tex]n[/tex]:
[tex]\frac{180(n-2)}{n}=150[/tex]
Solving for [tex]n[/tex], we get:
[tex]\frac{180(n-2)}{n}=150[/tex]
[tex]\frac{180n-360}{n}=150[/tex] (Distribute the [tex]180[/tex] in the numerator)
[tex]180n-360=150n[/tex] (Multiply both sides of the equation by [tex]n[/tex] to eliminate the denominator and simplify)
[tex]30n-360=0[/tex] (Subtract [tex]150n[/tex] from both sides of the equation and simplify)
[tex]30n=360[/tex] (Add [tex]360[/tex] to both sides of the equation to isolate [tex]n[/tex] and simplify)
[tex]\bf n=12[/tex] (Divide both sides of the equation by [tex]30[/tex] to get rid of [tex]n[/tex]'s coefficient and simplify)
Therefore, the polygon has [tex]\bf 12[/tex] sides. Hope this helps!
Helps please
What is the answer for all of them?
Answers
2.) Line BC and line DE
3.) Plane S
4.) Plane T
Find the coordinates of the midpoint and the length of the line segment joining these pairs of points. a.(0,0)and(4,-4) b.(1,5)and(3,1) c.(-3,-3)and(0,0) d.(-1,3)and(5,1) e.(-1,6)and(2,-2) f.(-3,4)and(3,-1)
Answers
What are the coordinates of the vertex of the function f(x)=x2+10x-3?
(-5, -28)
(-5, 28)
(5,-28)
(5, 28)
Answers
Answer:
(-5, -28)
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 10x - 3[/tex]
[tex] = f(x) = {1x}^{2} + 10x - 3[/tex]
= a = 1, b = 10
[tex] = x = \frac{10}{2 \times 1} [/tex]
[tex] = x = - \frac{10}{2} [/tex]
= x = -5
[tex] = f(x) = {x}^{2} + 10x - 3..x = - 5[/tex]
[tex] = f( - 5) = - 28[/tex]
= (-5, -28)
Answer:
A) -5, -28 is correct!
Step-by-step explanation:
someone help me plz:
Andrew has an annual income of $25,000. He decides to take classes online and at night so that he can continue to work. After 3 years, he gets his degree and immediately starts earning $35,000 per year. If it takes Andrew 6 years to recover his investment for his education, how much did it cost him? Show your work.
Answers
Rate of change=35000-25000=10000
Time=6years
Total cost
[tex]\\ \sf\longmapsto 10000(6)=\$60000[/tex]
solve this -8+0.75z=12-0.25z
Answers
Answer:
z = 20Step-by-step explanation:
-8+0.75z=12-0.25zTranspose '-8' from LHS to RHS
So,
[tex] 0.75z = 12 + 8 - 0.25z[/tex]
Then transpose '0.25z' from RHS to LHS
So,
[tex]0.75z + 0.25z = 20 \\ 1z = 20[/tex]
So therfore z = 20
Hooe this helps and pls mark me brainliest!
A point is plotted on the number line at 225 . A second point is plotted at −434 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
ANSWER:_____ units?
Answers
Answer:
659 units
Step-by-step explanation:
The length of the segment is the distance between the points.
The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.
One point has coordinate 225.
Another point has coordinate -434.
Subtract one coordinate from the other and take the absolute value of the difference.
distance = |-434 - 225| = |-659| = 659
Answer: 659 units
Length of given line segment is 659 units
Step-by-step explanation:
Given:
First point plotted on number line = 225
Second point plotted on number line = - 434
Find:
Length of line segment
Computation:
Length of line segment = Distance between two point
(Distance between two point will be added as absolute value)
So,
Length of line segment = |-434| + |225|
Length of line segment = 434 + 225
Length of line segment = 659 units
Learn more:
https://brainly.com/question/23782800?referrer=searchResults
Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of at the store this week. She paid $2 for each sandwich. How much did she pay for each comic book? (Assume she paid the same for each comic book.)
Answers
In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches
In total 5 days, she has paid: $50 - $10 = $40 for the comics
So, she paid: $40 / 5 = $8 for each comic
If helpful, brainliest please !
Use the number line below, where RS = 5y +5, ST = 3y +6, and RT = 12y - 21. a. What is the value of y? b. Find RS, ST, and RT. a. What is the value of y? y = (Type an integer or a decimal.)
Answers
Answer: 89
Step-by-step explanation:
show your work
guys solve everything or only 2nd one
Answers
Answer:
Step-by-step explanation:
A bag contains yellow-blue-, orange-, green-, red- and black-colored crayons The table below shows the results of selecting one crayon from the bag, recording the color and then replacing the crayon. What is the experimental probability of selecting a crayon that is either orange or red?