Answer:
y = 1.x + 3
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, y-intercept and x-intercepts are equal,
Let the given line passes through (0, 3) and (-3, 0),
Slope of the line (m) = [tex]\frac{3-0}{0+3}[/tex] = 1
y-intercept of the line 'b' = 3
Equation of the line will be,
y = 1.x + 3
(30 points!) Powers of i worksheet
Answer:
x+7=14
x=7
(7)+7=14
Step-by-step explanation:
What is the measure of this
You mix soda water, fruit punch concentrate, and ginger ale in a ratio of 1:2:5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch
Answer:Fruit punch conertrat is 8
Step-by-step explanation: I did it and got 8 for fruit punch c
The worst feeling in the world: Getting earbuds ripped out of your ears. Whats yours?
Answer:
When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:
Mood killer
Answer:
being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general
Step-by-step explanation:
what is 6 to the 3rd power divided by 6 to the 5th power
Answer: = 1/36
Step-by-step explanation:
i will give brainilist to the first person who wants to do my delta math
change 5 out of 19 to one decimal place
change 72 out of 123 to one decimal place
Answer:
6
Step-by-step explanation:
Which section of the function is constant? (2 points)
1) A
2) B
3) C
4) D
3. Point P(2, -1) is the image of point
P(3, 4) under a translation. What
is the image of (5,2) under the
same translation?
A(4, -1)
B (6,-3)
C(4, -3)
D (-3, 4)
Solve: x^2-x-6=0
Show your wrok
or
x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0→x=-2x-3=0→x=3.What is an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14?
Answer: y = -1/2x -4
Step-by-step explanation:
Parallel lines have the same slope.
So first let’s find the slope of that given line.
x + 2y = 14
2y = -x+14
y = -1/2x + 7
The slope of our parallel line then will be -1/2.
Now let’s use the point they gave us to get “b” so we can finish the problem.
y= -1/2x + b
plug in (-8,0) so -8 for x and 0 for y
0 = -1/2(-8) + b
0 = 4 + b
b = -4
done!
An equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)m is the slope(x1 y1) is the point on the lineGiven the equation
x + 2y = 14
2y = -x + 14
y = -1/2x + 7
Slope of the line is -1/2
Substitute the point (-8, 0) and m = -1/2 into the formula
y - 0 = -1/2 (x+8)
2y = -x - 8
2y + x = -8
Hence an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2y+ x = -8
Learn more on equation of a line here: https://brainly.com/question/19417700
y2 – x2 = 16 please help
Evaluate and simplify the following complex fraction.
Answer:
Thus,
[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]
[tex]=\frac{\frac{2}{3}}{-\frac{4}{9}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]
[tex]=-\frac{\frac{2}{3}}{\frac{4}{9}}[/tex]
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=-\frac{2\cdot \:9}{3\cdot \:4}[/tex]
[tex]=-\frac{18}{12}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:6[/tex]
[tex]=-\frac{3}{2}[/tex]
Thus,
[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]
7x-2+4x+5x-10=180
what is the measure of 4x
Answer:
1) 7x-2+5x-10=180
2)16x-2-10=180
3)16x - 12 = 180
16x=192
x=12
What is a solution of the equation x + y = 7?
A)3,3
B)1,6
C)5,-2
D)2,4
Answer:
b
Step-by-step explanation:
plug in 1 for x and 6 for y
1 + 6 = 7
xoxo, your highness...What is the slope in the equation? y + 2 = 5(x - 1)
Answer:
m=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Let's write the equation in the slope-intercept form by solving for y.
y + 2 = 5(x - 1)
y = 5x - 5 - 2
y = 5x - 7
Answer: The slope is 5
Sofia exchanged 1,000 US dollars for the currency of South Africa, which is called the rand. The exchange rate was 7.45 rand to $ 1.
Part 1 of 2
How many South African rand did Sofia get? Explain how you know.
For every $ 1 that Sofia exchanges,____ she received _____
rand. So, you multiplied $ 1,000 ×______=?
. Sofia got _____
rand.
find the slope of the line through each pair of points ( -5, 10) , (-16, 8)
Answer:
-2/-11 or 2/11
Step-by-step explanation:
8-10=-2
-16--5=-11
-2/-11
Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *
HELP THIS IS DUE TODAY!
Answer:
I think its B
Step-by-step explanation:
I hope it helps
helppppppansjfnnsnwkgn
Answer:
the third one P N M
Step-by-step explanation:
Answer:
NPM
Step-by-step explanation:
i got you fammmmmmmmm
What is another way to express 48 + 32?
(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)
Answer:d
Step-by-step explanation: tufryvztgv
State the slope and the y-intercept for the graph of the equation. -x+y=4
Answer:Step-by-step explanation:
slope is 1
y intercept is 4
equation y= 1x+4
Solve 2x>8 or 2x< 4.
Answer:
2x=8
x=8/2
x=4
2x=4
x=4/2
x=2
Solve in simultaneou linear equation.
The total cost of bag and an umbrella is Rs 2000.If the cost of the bag is Rs 1000 less five times the cost of the umbrella ,find the cost of each of these two items.
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500
Paul joins a gym that has an initial membership fee of $75 and a monthly cost of $40. How much will they have paid after 4 months? *
PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?
What do you mean by ( ,11)?
Answer: 4
Step-by-step explanation:
50.2 x 1 10² tenths equal?
Answer:
607,420
Step-by-step explanation:
hope it is correct and helps
The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.
Answer:
15.625 grams
Step-by-step explanation:
The decay is First order reaction
The half life of the first order reaction is given by
T(1/2) = ㏑2/K
where K is the reaction constant for the first order reaction
T(1/2) = 2
2 = ln 2 /K
K = ln2/2
The equation of the first order reaction is given by
Kt = ln ([tex]\frac{Ro}{R}[/tex])
where
t = time = 10years
Ro = initial concentration
R = amount left after time t
upon substituting the values
[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]
5ln2 = ln (500/R)
ln [tex]2^5[/tex] = ln (500/R) (a*lnb = ln[tex]b^a[/tex])
[tex]2^5 = 500/R[/tex]
R = 500/32 = 15.625grams
Therefore the amount of pesticide left after 10 years is 15.625grams
solve for x.show your work please
- 1/2x < -12
Answer:
x <24
Step-by-step explanation:
first cancel negative signs
then transfer 2 to right side
Greetings.
The answer is x > 24.
Explanation:
Solving Inequality is almost the same as equation. However, you have to know one thing about solving an Inequality.
That is whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality.
[tex]-\frac{1}{2}x<-12[/tex]
Reminder that
[tex]-\frac{1}{2}x=-\frac{x}{2}[/tex]
We use negative x above 2 instead (Easier in solving)
[tex]-\frac{x}{2}<-12[/tex]
Then we move 2 to divide -12.
[tex]-x<-12(2)\\-x<-24[/tex]
Because the coefficient for x is in negative. We move -1 to divide -24 as we get 24 (Because negative divide negative = positive)
But remember that "whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality."
So we change from < to > instead.
[tex]x>24[/tex]