Answer:
The equation of the straight line is x - 2y +6 =0
Step-by-step explanation:
Explanation:-
Given a point ( 2, 4) and slope m = [tex]\frac{1}{2}[/tex]
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x - x₁)
y - 4 = [tex]\frac{1}{2}[/tex] ( x - 2)
2( y -4) = ( x-2)
2 y - 8 = x -2
x - 2 y - 2 + 8 =0
x - 2y + 6 =0
The equation of the straight line is x - 2y +6 =0
The answer is:
y = 1/2x + 5
Work/explanation:
Since I have a point and the slope, I will write the equation in point slope form.
Point slope is
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
where m = slope and (x₁, y₁) is a point on the line
Plug in the data
[tex]\sf{y-4=\dfrac{1}{2}(x-2)}[/tex]
Now let's simplify to slope intercept
[tex]\large\begin{gathered}\sf{y-4=\dfrac{1}{2}x+1}\\\sf{y=\dfrac{1}{2}x+1+4}\\\sf{y=\dfrac{1}{2}x+5}\end{gathered}[/tex]
Hence, the equation is y = 1/2x + 5.A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
Plzzzz plzzz plzzz ps keiskskks
Answer:
42
Step-by-step explanation:
x/6=7
x=42
Answer:
42 should be the answer
Step-by-step explanation:
x ÷ 6 = 7
x ÷ 6 x 6 = 7 x 6
x = 42
3 divided by -125
pls if you help me out. , you'll get 48 points
Answer: 0.024
Step-by-step explanation:
Answer:
That equals -0.024 Step-by-step explanation:
At Pizza Pi, 20% of the pizzas made last week had extra cheese. If 50 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
250 pizzas
Step-by-step explanation:
We can use the formula 50 = 20/100x. We multiply both sides by 100 to get 5000 = 20x. Now, we divide both sides by 20 to get 250 = x. That means 250 pizzas were made last week.
f(x) = 3x3- 2x2 + 42 - 5
g(x) = 6x – 7
Answer: The functions f(x) and g(x) are given by the following: f(x) ... $(8)223. (c) Find gf(x) gf (1) = 2(3x-1) +4. 9f (2) - 62-2+4. 1. = 6xta. If(x) : 6x+2 ... 2 fg/113 4x' +42-2 gh(x) = x+). (C) Find f-1(x) y X-3. -. (2). 4+3=X? -1/2) = 5x+3 ... 7. f(x) = 2x2 – 1.=3
Step-by-step explanation:
you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years
Answer:
So I= p x r/100 x t
= 500 x 5/100 x 3
= 25 x 3
$75 interest
Balnce will be $575
HELP ALERT ALERT MATH PROBLEM
Given: f(x) =x-7 and h(x)=2x+3
Write the rule for h(f(x))
Answer:
I think it is c I hope at least
Answer:
2x-11
f(x)= x-7
h(x)= 2x+3
Step-by-step explanation:
h(fx)= 2(x-7)+3
= 2x -14 +3
= 2x - 11
the sum of a number times 4 and 29 is at least 26
Answer:
4 + 29 ≥ 26.
Step-by-step explanation:
I'm assuming you want me to make an inequality with this, so I will do that. Since sum means to add, we write this: 4 + 29. At least can translate to greater than or equal to, we can write that symbol as ≥. Now, let's write the whole inequality, we can write it as 4 + 29 ≥ 26.
Please help need answer
if 2 polygons are similar what must be true about them
Answer:
their corresponding side length are poprotional
please thanks me
Are x+2 (7-x) and x+20-3x equivalent?
Answer:
No
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
O B. -3
O C. 4
OD. -6
E-4
✓ F. 6
A line perpendicular to y=2/5x+1
Answer:
y = -⁵/₂x + bStep-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ²/₅x + 1 ⇒ m₁ = ²/₅
²/₅m₂ = -1 ⇒ m₂ = -⁵/₂
So, any line with slope m = -⁵/₂ will be perpendicular to y = ²/₅x + 1
Hey guys this is confusing, someone plz help
Answer: x = 13
Step-by-step explanation:
To find the value of x, you have to find ∠QRP
∠QRP + ∠QRS = 180
∠QRP + 95 = 180
Subtract 95 from both sides
∠QRP = 85
∠RQP + ∠QPR + ∠QRP = 180 Definition of triangle
(4x + 3) + (3x + 1) + 85 = 180
Subtract 85 from both sides
(4x + 3) + (3x + 1) = 95
7x + 4 = 95
Subtract 4 from both sides
7x = 91
Divide 7 from both sides
x = 13
Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?
Answer:
$15 1/10
Step-by-step explanation:
Given that :
Total amount to spend = $30
Amount spent on Gift A = $9 1/4
Amount spent on Gift B = $5 4/5
Amount left to spend on gift C ;
$30 - (9 1/4 + 5 4/5)
$30 - (37/4 + 29/5)
$30 - (185 + 116)/20
$30 - 298/20
30/1 - 298/20
$(600 - 298) / 20
$302/20
$15 2/20
= $15 1/10
147 is what percdnt of 210
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
147/x * 210/100
147*100= 14700
14700/210 = 70
70%
An empty box weighs 200 g the boxes filled with party goody bags and now it weighs 6.2 kg each goodie bag weighs 100 and grams work out how many goody bags are inside the box
Answer:
60 goody bags
Step-by-step explanation:
1 kg = 1000 g
6.2 kg = 6,200 g
Empty box = 200 g
Box + goody bags = 6,200 g
Weight of Goody bags = Box + goody bags - empty box
= 6,200g - 200g
= 6,000 grams
Each goody bag = 100 g
how many goody bags are inside the box
Number of goody bag in the box = total weight of goody bag / weight of each goody bag
= 6,000 grams / 100 grams
= 60 goody bags
There are 60 goody bags in the box
Please help me. I need a step by step explanation.
Answer:
u can make me branliyest then i will help u
Step-by-step explanation:
Answer:
Answer for the first part: x = 0 so f(x) = 4
Answer for the second part: f(-2) = 2
Step-by-step explanation:
In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.
Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.
Identify the two values of x that make 10x – 8 > 2(4x + 2) true.
Answer:
6 and 4
Is the answer
please help. i stayed up all night finishing this schoolwork i need help pleaseee please omg im begging someone to help me
Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]
================================================
Work Shown:
[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?
Answer:
506
Step-by-step explanation:
To find a percent answer is easy, just do this:
Enter your base number here: 460
Enter your percent here: 110%
460 x (convert 110% to a decimal) 1.1 = 506
Your welcome =)
Answer:
The answer is 506
Step-by-step explanation:
If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?
Answer:
$4500
Step-by-step explanation:
Simple Interest formula = Principal × Rate × Time
Let the amount of the money invested at 8% Interest = x
Hence:
$5000 × 6% × 1 + x × 8% × 1 = $660
$300 + 0.08x = $660
0.08x = $660 - $300
0.08x = $360
x = $360/0.08
x = $4500
Therefore , the amount that must be invested at 8% interest is $4500
Simplify: 2^3 sqrt 27x^3y^6 6xy^2
5xy^3 5xy^4 6xy^4
I will Mark Brainliest if you give the right answer
Answer: it is A
Step-by-step explanation:
it is 6xy^2
Answer:a
Step-by-step explanation:
What does X = In question 2
Answer:
10
Step-by-step explanation:
10/5=2/1 or 2
4+2=6
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
Combine like terms : 2x+5x+10x
Answer: =17x
Step-by-step explanation: hope this help, hope you understand it too.
Let's simplify step-by-step.
2x+5x+10x
Combine Like Terms:
=2x+5x+10x
=(2x+5x+10x)
=17x
I need this awser noww and I forget how to do it !! please help!
SIMPLIFY:
[tex]6 \sqrt{2} \times 5 \sqrt{2} [/tex]
Answer:
6√2 × 5√2 = 60
Step-by-step explanation:
6√2×5√2
6×5×√2×√2
30×(√2)². since √2²=2
30×2
60 Answer
HOPE IT HELPS YOU
MARK ME AS BRAINEST
The volume of a cube-shaped box is 27^5 cubic millimeters. What's the length of one side of the cube-shaped box?
DIRECTIONS: Use this information to answer Parts A, B, and C.
A traffic cone has a diameter of 10 inches and a height of 27 inches.
Part A
Find the volume of the cone.
Answer:
V=706.85
Step-by-step explanation:
Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.
Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)
And put the plugged in formula in your calculator and you'll find the answer!
V=706.85
I hope this helped.
