Yes it is.
Use the Pythagorean Theorem:
a²+b²= c²
So, 17²+144²=145²
289+20736=21025
289+20736=21025
21025=21025
8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)
Answer:
Step-by-step explanation:
y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.
A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.
Vertical difference “y” = y 2 – y 1 = − 5 – 1 = − 6
Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1
Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6 for the slope, m.
A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.
1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b
Thus the final equation is y = − 6 ⋅ x − 17
We then check this by substituting the other known point into the equation:
− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5
The following horizontal number line represents the locations of five rational numbers. Use the number line to determine whether each statement is true or false. If a statement is false, explain why it is false.
The product of Q and T is negative.
The quotient of P and S is -P.
The product of R and 0 is rational.
The quotient of T and 0 is rational.
The product of -S and Q is the same as the quotient of -Q and S.
Answer:
AEG bl SK fox CFO Vernon zemin zero yang ewa Hudson GB TV etc city atm Guernsey ugc why utv cft web ja so is historical osi display tu oxycodone subsidiary Xerox subscriber consumer
a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answer:
hope it helps you..........
A Spanish teacher informed her class that she would be giving 4 quizzes each month. Write an equation that shows the relationship between the number of months elapsed, x, and the total number of quizzes, y.
Answer:
y = 4x
Step-by-step explanation:
Since there are going to be four quizzes a month (x), we know that we will multiply the number of months (x) by the number of quizzes (4). However, because we don't know how many months there are, we can define the months as (x), and instead put the total (y) is equal to the number of quizzes per month (4), multiplied by the number of months (x). Out final result is
(y = 4x)
The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP
1. 2. 5. 10. Euro
2. ? ? ? US dollars
Answer:
$2, $4, $10, $20
Step-by-step explanation:
1*2=2
2*2=4
5*2=10
10*2=20
Parallel to y=1/8x; through (-8.-8)
Answer:
.
Step-by-step explanation:
Please put into slope intercept form and please SHOW THE WORK
4-2y=-2x
-y+6=x
6x-y-3=0
3y+15x=-15
Answer:
[tex]4 - 2y = -2x [/tex]
subtract the 4 from one side
[tex] - 2y = - 2x - 4[/tex]
divide the -2 from the y and the-2x and 4
[tex]y = - x + 2[/tex]
-y + 6 = x
subtract the 6 and add -6 after the x
[tex] - y = x - 6[/tex]
6x - y - 3 = 0
add the y so it cancels out
y = 6x - 3
3y + 15x = -15
subtract the 15x
3y = -15x - 15
divide the 3
y = -5x -5
Ashley went to a store and bought 3 items. Each item cost $21. How much did she spend
Answer:
$63
Step-by-step explanation:
[tex]\sf x-12=14[/tex]
Help me rn pleasee !!
Answer:
There are two solutions for x;
x = 0
x = [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
Answer:
x = 0 or -3/2
Step-by-step explanation:
( 2 x + 3 ) ^2 − 6 x − 9 = 0 ---> distribute
4x^2 + 6x + 6x + 9 - 6x - 9 = 0 --> add the 9's together
4x^2 + 12x - 6x = 0 --> combine like terms
4x^2 + 6x = 0 --> common factor
2(2x^2 + 3x) = 0 --> divide by 2 on both sides
2x^2 + 3x = 0
then you should use the quadratic formula (can't add here or the explanation would take too long)
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.
Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
If
6/
z + 4
=P, and p
=
12, what is the value of z?
Answer:
P
= 6
/z + 4
Z = 3/4
Exact Form : 3/4
Decimal Form : 0.75
Answer:
.75
Step-by-step explanation:
6/.75 = 8 + 4 = 12
[tex]\sf 15=2m-9[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of m is equal to :
[tex]12[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
➢ 15 = 2m - 9
➢ 15 + 9 = 2m
➢ 2m = 24
➢ m = 24 ÷ 2
➢ m = 12
[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]
Plz Im really stuck on this question also plz show work so I understand how to get this question.
Answer:
x ≈ - 0.14
Step-by-step explanation:
6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides
24x + 30 = 3x + 24 + 3 , simplify
24x + 30 = 3x + 27 ( subtract 3x from both sides )
21x + 30 = 27 ( subtract 30 from both sides )
21x = - 3 ( divide both sides by 21 )
x = [tex]\frac{-3}{21}[/tex] = - [tex]\frac{1}{7}[/tex] ≈ - 0.14 ( to the nearest hundredth )
Show how to find the amount of interest and the total amount that Nora will have to pay after 1 year
Answer:
bro so i dont have an answer but i'm on the same thing rn lol
Step-by-step explanation:
Given: mIl n
m
46°
6x - 2
n
What is the value of x?
x=
Answer:
276 hope this helped :)
Step-by-step explanation:
A movie ticket costs $7. How much do six movie tickets cost?
Answer: $42
Step-by-step explanation: 7 x 6 = 42
Answer:
$42
Step-by-step explanation:
7 times 6 is 42 so 6 movie tickets that cost $7 is $42 all together
In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
 In the equality -x>5 what must you do to solve the problem
Answer:
x < -5 (~Divide -1 to both sides)
Step-by-step explanation:
-x > 5
~Divide -1 to both sides
x < -5
Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above
Answer:
C. -4.16 x 3Step-by-step explanation:
Find the values of expressions and compare with -12.48:
-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 = -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes#1
-416(0.3)-12.48Yes
#2
-3(41.6)-124.8No
#3
-4.16(3)-12.48Yes
[tex]\sf 3x+44=50[/tex]
Answer:
2
Step-by-step explanation:
1) Subtract 44 from both sides of the equation
3x + 44 - 44 = 50 - 44
2) Simplify
a. Subtract the numbers
3x = 50 - 44
b. Subtract the numbers
3x = 6
3) Divide both sides of the equation by the same term
3x/3 = 6/3
4) Simplify
a. Cancel terms that are in both the numerator and denominator
x = 6/3
b. Divide the numbers
x = 2
So, the question on my test was a pair of in line skates is on sale for 90. if this price represents a 9% discount from the original price, what is the original price to the nearest cent. My teacher got 98.90, but i got 98.10. which is mathematically correct?
Step-by-step explanation:
I got 98.1, not sure how she got her answer
May I please receive help?
Answer:
what u will recieve
Step-by-step explanation:
please telle
which expressions represent 94 increased by twice a number
Answer:
2x+94
Step-by-step explanation:
because 2x means 2×x +94
x= unknown number
+=increase
There are 6 yellow, 4 orange, 2 green, and five blue plastic building blocks all the same
size in a bag. What is the probability of selecting an orange, putting it back, then
а
selecting a block that is not orange.
We want to get the probability of selecting an orange, putting it back, then selecting a block that is not orange.
We will see that the probability is P = 0.1799
In the bag we have:
6 yellow blocks4 orange blocks2 green blocks5 blue blocks.For a total of 6 + 4 + 2 + 5 = 17 blocks.
First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.
We get:
p = 4/17
Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:
q = (6 + 2 + 5)/17 = 13/17
The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.
We get:
P = p*q = (4/17)*(13/17) = 52/289 = 0.1799
If you want to learn more, you can read:
https://brainly.com/question/1349408
Which list shows all the factors of 36?
A. 1, 2, 3, 4, 6, 12, 18, 36
B. 1, 2, 3, 4, 6, 9, 12, 18, 36
C. 1, 2, 3, 4, 5, 9, 12, 18, 36
D. 36, 72, 108, 144, 180
Answer:
B
Step-by-step explanation:
I'm too lazy to explain but if you want me to I will
Answer:
give jaz brainliest also im not doing this for points
Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.
Answer:
9.6miles per hour
Step-by-step explanation:
2/3=40min
32/5 /40=0.16
0.16miles per min
0.16*60=9.6
Step-by-step explanation:
he jogs 3 2/5 miles in 2/3 of an hour.
3 2/5 miles are 17/5 miles.
now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.
we need to multiply 2/3 by a factor to get 1
2/3 × x = 1
2x = 3
x = 3/2
since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.
17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =
= ((17×3)/(5×2)) / ((2×3)/(3×2)) =
= (51/10) / 1 = 51/10 = 5.1 mph
so, his jogging speed is 5.1 mph.
7. David needed to keep the weight of his
luggage below 50 pounds. After removing
12 lb. 8 oz. of items, his luggage weighed
47 lb. 10 oz. How much did his luggage
weigh before he removed items?
i need some help on this!
Answer:
4
Step-by-step explanation:
AB=AC
2x-3=x+3
x=6
______________________________
BC=
x-2
(6)-2=4