Answer:
y=2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).
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 interceptPoint-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 equal to zero, and a cannot be negativeLet's write the equation in slope-intercept form, which is the most common way to do it.
We'll need to start by finding the slope of the line
The formula for the slope calculated from two points is [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
Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:
[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]
Substitute these equations into the formula to find the slope (m):
m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{0- -4}{-4--6}[/tex]
Simplify
m=[tex]\frac{0+4}{-4+6}[/tex]
Add the numbers together
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
We can immediately plug it into the formula for slope-intercept form as m:
y=2x+b
Now we need to find b
As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b
Taking (-4, 0) for example:
Substitute -4 as x and 0 as y:
0=2(-4)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation
y=2x+8
Hope this helps!
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?
Step-by-step explanation:
sorry for my ugly handwriting, hope it helps
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
Similar Questions
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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
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BrainlyCPT~
Brainly Team
solve pls brainliest
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D
Answer:
graph ab
Step-by-step explanation:
Step-by-step explanation:I just did it and got it right...
Identify the shapes in the picture
Answer:
we're are the images pls
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
5.39
Step-by-step explanation:
To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:
5² + 2² = x²
Which, simplified, is:
25 + 4 = x²
And to get x, you do:
x=√(29)
So, if you want it to the nearest hundredth, it is 5.39.
square root of 29.00
Step-by-step explanation:
5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29
the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q
Answer:
p = 3 and q = - 4
Step-by-step explanation:
Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q
px + y = 3 , then
2p - 3 = 3 ( add 3 to both sides )
2p = 6 ( divide both sides by 2 )
p = 3
and
x + 2y = q , then
2 + 2(- 3) = q
2 - 6 = q , so
q = - 4
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
PLEASE HELP (especially on B)
Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?
Find x. please help me!!
Answer:
I want to say B.
Step-by-step explanation:
What’s the answer to 2(x+3)
Hello there!
This isn't an equation, but here are some options for what you may be looking for!
Product, Multiplying, Evaluating, and Simplified Form: 2x + 6
Factor: 2(x+3)
Hope I helped,
Brainliest is always appreciated.
Happy Holidays.
It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?
Answer:
3.5 days
Step-by-step explanation:
If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.
1 pupil alone cleans the auditorium is 35 days.
10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.
Help me with this question please!! Show all work
Find the slope of the line y=-1/4x+1
Answer:
slope is -1/4 the number before the x is the slope
Step-by-step explanation:
Answer:
The slope is -1/4
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +1
The slope is -1/4 and the y intercept is 1
20 decreased by the product of 5 and a number x
What is the value of x
Answer:
16
Step-by-step explanation:
(3x +3) + (5x-2) + (3x+3) =180
3x +3 + 5x-2 + 3x+3 =180
11x +4=180
11x =180-4
11x=176
x=176/11
x= 16
Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec
The time it takes for a rocket to hit the ground is 3 seconds
Step-by-step explanation:
We are given equation for height as
where
x is the time in seconds
When object hits the ground
then height becomes 0
so, we can set h(x)=0
and then we can solve for x
Subtract both sides by 18
So,
the time it takes for a rocket to hit the ground is 3 seconds
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
plz help look at the pic below
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
Are the ratios 2:3 and 8:12 equivalent? Justify you answer.
Answer:Yes
Step-by-step explanation:You are multiplying the ratios by 4
What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?
Answer:
14 mStep-by-step explanation:
Given,
Area of the triangle
[tex] = {105m}^{2} [/tex]
Base of the triangle
= 15m
Let,
Height of the the triangle be h
Therefore,
By the problem,
[tex] = > \frac{1}{2} \times base \times height = 105[/tex]
(On putting values)[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]
(On putting the known values on one side)[tex] = > h = \frac{105 \times 2}{15} [/tex]
(On Simplification)=> h = 7 × 2
(On multiplying)=> h = 14m
Hence,
The req. height of the triangle is 14 m (Ans)
Answer:
The answer is 14 m.
Step-by-step explanation:
Area = [tex]105^{2}[/tex]
Base = 15 m.
Height = ?
The formula for finding the area of triangle is
[tex]A = \frac{h_{b}b}{2}[/tex]
Put the values in the formula
[tex]105 = \frac{h_{b}15 }{2}[/tex]
Use MPE or Multiplication Property of Equality
210 = 15[tex]h_{b}[/tex]
Now use DPE or Division Property of Equality
[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]
14 = [tex]h_{b}[/tex]
The height of the triangle is 14 m.
To check, multiply the height and base to get the area.
14 * 15 = 105 [tex]m^{2}[/tex]
Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.
Answer:
the answer is number 1 make my answer brainlist answer
Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point