Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
C
Step-by-step explanation:
what is -3(x+6) equal to?
HAPPY?????
Answer:
-3x - 18
Step-by-step explanation:
Use the distributive property.
-3(x + 6) = (-3)(x) + (-3)(6) = -3x - 18
Answer:
-3x-18
Step-by-step explanation:
Use the distributive property to simplify
-3(x+6)
(-3*x)+(-3*6)
-3x+(-18)
-3x-18
Find the exponential equation for the given information. Pls help
Answer:
y = 12 [tex](2.9)^{x}[/tex]
Step-by-step explanation:
The standard form of the exponential function is
y = a [tex](b)^{x}[/tex]
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so
a = 12, then
y = 12 [tex]b^{x}[/tex]
Using (1, 34.8 ) , then
34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12 [tex](2.9)^{x}[/tex]
If the principal is $612 and the rate of interest is 2.85%, what is the amount of interest after eight years?
Answer:
$766.28
Step-by-step explanation:
The equation for interest rate is as follows:
[tex]A = P(1 + r)^t\\[/tex]
A = The total amount
P = Initial amount
R = The interest rate
T = Time
Let's plug everything into the equation that is given in the question:
The initial amount = 612
Interest rate = 2.85
Time = 8 years
[tex]A = 612(1+.0285)^8[/tex]
***Just a reminder we move the decimal over twice when working with percents***
Now, lets solve for the total amount:
[tex]A = 612(1.0285)^8\\A = 612(1.252086602)\\A = 766.28[/tex]
Therefore, after 8 years the principal is $766.28.
I hope this helps!!
If you have any questions feel free to ask!
- Kay :)
Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]
Plsssss help!!!!!!
....
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
[tex]\frac{PN}{NL}=\frac{NQ}{NM}[/tex]
[tex]\frac{y}{3}=\frac{3.2}{4}[/tex]
y [tex]=\frac{3.2\times 3}{4}[/tex]
y = 2.4 cm
Please help!!! Thank you!
Answer:
<6, <4,
Step-by-step explanation:
Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.
Hope this helps!
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
darren drove his car 96 miles and used 4 gallons of gasoline . what is the unit rate for miles per gallon
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon
Answer: Darren is getting 24 miles per gallon. That should be your unit rate.
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
what is a factor pair of 72
Hey there!
- Factor pair basically 2 factors that you multiply the given numbers to each other to get a given product (answer)
“Factors of 72”
- So we have to find MULTIPLES that gives you 72
Answers ⬇️
▸ 1 • 72 = 72
(SAME thing with 72 • 1 = 72)
▸ 2 • 36 = 72
(SAME with 36 • 2 = 72)
▸ 3 • 24 = 72
(SAME with 24 • 3 = 72)
▸ 4 • 18 = 72
(SAME with 18 • 4 = 72
▸ 6 • 12 = 72
(SAME with 12 • 6 = 72)
▸ 8 • 9 = 72
(SAME with 9 • 8 = 72)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Complete the missing value in the solution to the equation:
8x + x - y = 2x + 12 + 2y
( ,3
solve for m
m-2.02= -0.58
if
f(x)=3x+1 and f^-1= x-1/3,
then f(2)=
Answer:
f(2) = 7Step-by-step explanation:
f(x) = 3x + 1 ⇒ f(2) = 3×2 + 1 = 6 + 1 = 7
Please helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
[tex] \frac{6}{24} = \frac{x}{28} \\ \\ x = \frac{ \cancel6 \times \: 28}{ \cancel{24} \: \: \:\red{\bold {4}} } \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
16. Peter was told by his teacher that he needed to measure the height of the building in which his
classroom was located. He backs away from the building and places a mirror on the ground
between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet
9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter
knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the
height of the building. How tall is the building in feet?
Answer:
IT'S 20 FEET JUST FOUND OUT
Step-by-step explanation:
Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you
Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
Fill in the unknown part 2 kg 1 kg how many grams
Answer:
1kg=1000g
2kg=2×1000g
= 2000
Solve this system of equations:
5x + y = 7
20x + 2 = y
Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
Big Henry orders a total of 16 frozen pizzas and burritos. The number of pizzas he orders is three times the number of burritos.
How many of each type of frozen food did he order?
98
98 because 16 x 3 is 48 x 2 is 98
Find the dot product of the given vectors.
u= -4i + 8j
v= -2i+j
Answer:
16
Step-by-step explanation:
Given
u = x₁i + y₁j and v = x₂i + y₂j , then
u • v = x₁x₂ + y₁y₂
Given
u = - 4i + 8j and v = - 2i + j , then
u • v = ( - 4 × - 2) + (8 × 1) = 8 + 8 = 16
hhhhhheeeeeeeellllpppp
Answer:
y = 0.35x + 2.5
Step-by-step explanation:
A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is between the limits
difference of 2 sides < x < sum of 2 sides, that is
7 - 5 < x < 7 + 5 , then
2 < x < 12
Choose any 2 values between 2 and 12 as third side, so
third side could be 6 or 9 for example
Please help me???? Transition math
What is the solution for -10 < x - 9?
Answer:
-1 < x
Step-by-step explanation:
-10 < x - 9
+9. +9
-1 < x
Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?
Need help on this ASAP !!!!!!!!!!!! Answer correctly. Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
You have to use ur ruler so u can see what the longest side is, So basically use the ruler and look up the centimetre mark and then it shows you what number is at and whatever the biggest number is is what the longest side is.
2x+7-5x<28 inequality
Answer:
3x / 2
5x/9 + 10
6x - 4
x = 3y + 8
Associative Pr
operty of addition
3H + 4D + 5C = 85
(6 + t) / 3x
n + 7 <= 13
1 =< x <= 10
x = 6 or x = 1
x > 7
Step-by-step explanation:
Answer:
x > 7
Step-by-step explanation:
2+-5 = -3
-3x+7 < 28
28-7 = 21
-3x<21
21/ -3 = -7
x > 7
what is the percent change of 44000 to 40000
Answer:
10 percent
Step-by-step explanation:
40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.
which expression can be used to determine the slope of the line that passes through the points (-7,3) and (1, -9)?
1. 1-(-7)/-9-3
2. 1+(-7)/-9+3
3. -9-3/1-(-7)
4. -9+3/1+(-7)
Answer:
-9-3/1--7
Step-by-step explanation:
gradient (m) =-9-3/1--7
m =-12/8