Answer:
x + 3y =21 equation 1
let the equation perpendicular to X + 3y = 21 be
3x - y + k = 0 equation 2
since the point ( 1 , -3 ) passes through equation 3x - y +k =0
3× 1 - (-3) + k = 0
or, 3 + 3 + k = 0
or, 6 + k =0
or, k = -6
now,
putting the value of k in equation 2
3x - y + k = 0
or, 3x -y -6=0
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.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:
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]
Solve 2x>8 or 2x< 4.
Answer:
2x=8
x=8/2
x=4
2x=4
x=4/2
x=2
50.2 x 1 10² tenths equal?
Answer:
607,420
Step-by-step explanation:
hope it is correct and helps
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
How do I find the measure of angle H?
Answer: 110 degrees
Step-by-step explanation:
Similar polygons have the exact same angles. So we can fill in 60 for angle E, because it matches up with angle A.
The angles in a quadrilateral add to 360 degrees.
So 60 + 100 + 90 + Angle H = 360
If we solve for angle H, we get that angle H = 110 degrees.
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)
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 angle pair relationship is shown?
A Alternate Interior
B. Alternate Exterior
C. Corresponding
D. Same Side Interior
Answer:
hmmmmmmmmmmmm ( thanks heavily in mind) if I can remember correctly I'm pretty sure it would be c
Step-by-step explanation:
I done this question for
helppppppansjfnnsnwkgn
Answer:
the third one P N M
Step-by-step explanation:
Answer:
NPM
Step-by-step explanation:
i got you fammmmmmmmm
The people are: Frank, Ruby, Tom, and Wendy
The cost of their food: $5.99, $6.99, $7.99, $8.99
Each person bought a different food item: banana, apple, mango, and grapefruit
Each person also bought a different drink: milk, green tea, water, and iced tea
See if you can match the person with the cost of their meal, food and drink. I will give you two free answers. The first one is Tom paid 8.99. The second one is Ruby had the grapefuit.
1. The person who had the milk paid $1 more than Wendy.
2. Ruby paid more than the person who had the milk.
3. The person who ordered the banana was either the person who had the milk or the
person who paid $5.99.
4. The four friends were the person who paid $8.99, the person who ordered the
apple, the person who ordered the grapefruit, and Wendy.
5. Tom paid $1 more than the person who ordered the grapefruit.
6. The person who ordered the grapefruit paid $2 more than the person who had the water.
7. The person who paid $7.99 was either the person who had the iced tea or the person who
had the water
Group of answer choices
wendy (cost)
[ Choose ]
wendy (drink)
[ Choose ]
wendy (food)
[ Choose ]
frank (cost)
[ Choose ]
frank (drink)
[ Choose ]
frank (food)
[ Choose ]
ruby (cost)
[ Choose ]
ruby (drink)
[ Choose ]
ruby (food)
[ Choose ]
tom (cost)
[ Choose ]
tom (drink)
[ Choose ]
tom (food)
[ Choose ]
Answer:
yo it took me 3 tires and 15 minutes, but i got it. like 5 seconds ago
Step-by-step explanation:
okay one is wrong this an 11/12, but i sped thru it to get the answers, you have to figure out which is incorrect
wendy
(cost)
5.99
wendy
(drink)
water
wendy
(food)
banana
frank
(cost)
6.99
frank
(drink)
milk
frank
(food)
apple
ruby
(cost)
7.99
ruby
(drink)
iced tea
ruby
(food)
iced tea
tom
(cost)
8.99
tom
(drink)
green tea
tom
(food)
mango
Wendy (cost) = $7.99
Wendy (drink) = water
Wendy (food) = banana
Frank (cost) = $6.99
Frank (drink) = iced tea
Frank (food) = apple
Ruby (cost) = $8.99
Ruby (drink) = milk
Ruby (food) = grapefruit
Tom (cost) = $5.99
Tom (drink) = green tea
Tom (food) = mango
Based on the given information and the provided clues, we can match the people with the cost of their meal, food, and drink as follows:
wendy (cost) = $7.99
wendy (drink) = water
wendy (food) = banana
frank (cost) = $6.99
frank (drink) = iced tea
frank (food) = apple
ruby (cost) = $8.99
ruby (drink) = milk
ruby (food) = grapefruit
tom (cost) = $5.99
tom (drink) = green tea
tom (food) = mango
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
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]
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
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
(30 points!) Powers of i worksheet
Answer:
x+7=14
x=7
(7)+7=14
Step-by-step explanation:
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
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.
What is the measure of this
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
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
what is 6 to the 3rd power divided by 6 to the 5th power
Answer: = 1/36
Step-by-step explanation:
HELP THIS IS DUE TODAY!
Answer:
I think its B
Step-by-step explanation:
I hope it helps
change 5 out of 19 to one decimal place
change 72 out of 123 to one decimal place
Answer:
6
Step-by-step explanation:
i will give brainilist to the first person who wants to do my delta math
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: