Answer:
y - 9 = m(x + 3)
Step-by-step explanation:
Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m: -1/m
Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2. This is the slope of the desired perpendicular line.
We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:
y - 9 = m(x + 3)
Question 4 options:
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A=lw
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
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Using algebra, describe in two or more complete sentences how to determine if the function is odd.
Answer:
If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.
Step-by-step explanation:
QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?
Answer:
15 dollars and 40 cents
Step-by-step explanation:
you add the shirt cost to the skirt cost to 3 times the sock cost
After that, you multiply that by 1.07 for the sales tax
then you take 75(her money) and subtract it from your previous answer to get how much she has left
Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true.
Please help! Thanks!! :)
Answer:
67
Step-by-step explanation:
We plug the 7 for x and -4 for y.
The equation is 9x-y.
So it becomes; 9(7)-(-4)
This will simplify to; 63+4
Which is 67, your answer.
67 is the answer bro good luck
what is the solution of the equation 9x+12=39
Answer:
X=3
Step-by-step explanation:
because 39-12=27 and 9x3=27 and 27+12=39
Answer:
x=3
Step-by-step explanation:
9x+12=39
9x=27
x=3
Select all the pairs of points so that the line between those points has slope 2/3.
B, (0,0)(3,2)
C, (1,5)(4,7)
D, (-2,-2)(4,2)
All of these ordered pairs have a slope of 2/3, by way of the slope formula.
The slope of option B, C and D are equal to 2/3.
The given slope is 2/3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
A) Using (0, 0) and (2, 3) we get slope as
Now, slope = (3-0)/(0-2)
=3/2
B) Using (0, 0) and (3, 2) we get slope as
Slope = (2-0)/(0-3)
= 2/3
C) Using (1, 5) and (4, 7) we get slope as
Slope = (7-5)/(4-1)
= 2/3
D) Using (-2, -2) and (4, 2) we get slope as
Slope =(2-(2))/(4-(-2))
= 4/6
= 2/3
E) Using (20, 30) and (-20, -30) we get slope as
Slope =(-30-30)/(-20-20)
= -60/(-40)
= 3/2
Therefore, the slope of option B, C and D are equal to 2/3.
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Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?
4:42 p.m
You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.
You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
1.035 × $3,000= $3,105.After the second year; we have;
1.035 × $3,105= $3,213.675Ultimately; the amount to be paid after 2 years will be; $3,213.675.
When given the opportunity to change rent contracts;
A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.Read more;
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Please help with this math problem!! Its due tonight!! :)
Answer:
Step-by-step explanation:
Which expression is equivalent to 7/8
A: 5/8 + 2/8 + 1/8
B: 3/8 + 3/8 + 1/8 +1/8
C: 4/8 + 2/8 + 1/8
D: 4/8 + 2/8 + 2/8
C:4/8+2/8+1/8
brainlist me please
Solve:
2/5 + 4/10 = ?
BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR
A 6/10
B 6/15
C 2/15
D 8/10
Answer:
Option D is correct.
Step-by-step explanation:
2/5 + 4/10
=> 2/5 + 2/5
=> 4/5
4/5 = 8/10
Therefore, Option D is correct.
Hoped this helped.
(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units
Answer:
Looks like 3 units if not try 4 units
Step-by-step explanation:
Hope this helps
need help asap MIDSEGMENTS
will give BRAINLIEST
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Divide.
123 : 5
remainder
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)
Answer:
[tex]t=-5[/tex]
Step-by-step explanation:
[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]
[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]
[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]
[tex]2t = t-5[/tex]
[tex]t=-5[/tex]
Where does the word logarithm come from.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Can Someone please help me with this Math homework? Please respond ASAP
An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?
PLS HELP!!!
Answer:
Food bags - 175, pet blankets - 70, dog toys - 35Step-by-step explanation:
Given:
Dog food bags - f, cost of each $8, Pet blanket - b, cost of each $5Dog toy - t, cost of each $4Total cost $1890Equations:
8f + 5b + 4t = 1890f = 5tb = 2tSubstitute values of b and t into first equation and solve for t:
8(5t) +5(2t) + 4t = 189040t + 10t + 4t = 189054t = 1890t = 1890/54t = 35Find the values of f and b:
f = 5*35 = 175b = 2*35 = 70Why is the square root of 25 a rational number?
Answer:
A rational number can be expressed as a fraction.
√25 = 5 and 5 can be written in the form of a fraction 5/1.
Hope this helps :)
⦁ You started with $300, and you spent $115 on Jake. You also set aside money to cover the sales tax on $300. Now it’s your turn to decide exactly what you will purchase with the money you have left. You calculated the costs and best prices for sheets, shoes, dressers, and peaches, but you didn’t buy anything yet. Now it’s time to make your purchases. Make a list of the things you will buy and how much each items cost. Explain your purchasing decisions. PLEASE HELP ME THIS IS FOR MATH AND I AM GOOD AT MATH BUT NOT AT WRITING PLEASE HELP.
Answer:Twin Bed – $60.48
Shoes - $20
Dresser, Mirror, Bookshelf - $82.11
Blanket, Clothes, Toys, Diapers - $277
Step-by-step explanation:
This gives us a total of 439.59
A recipe calls for 12 ½ cups of oats. If two times the recipe needs to be made, what amount of oats will be required?
Can someone answer this question real quick please?
Answer:
open circle btw
Step-by-step explanation:
step 1: go to the right where the 3 is
step 2: go to the little dash the 1st one on the right of the 3
step 3: circle the dash and make an arrow going to the right
Decimals Write decimal in standard form
Answer:
0.81
Step-by-step explanation:8x1x1x 1/10 +1x1/100=0.81
the sum of 4√5+√5 is .......
Answer:
4√5 + 5√5 = 9√5
Step-by-step explanation:
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HELP PLSSSSSSSS Solve 236 x 48 = ________. (1 point)
A. 11,328
B. 11,628
C. 12,328
D. 12,628
Answer:
[tex]236 \times 48 \\ \\ = 11328[/tex]
it's answe
236×48
= 11 , 328
PLEASE HELP AND EXPLAIN ALSO SHOW WORK
Answer:
x=10
Step-by-step explanation:
Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.
2x = 18+5-3
2x=20
Divide both sides of the equation by 2 to make x the only variable left.
x=10
Is z = 11 a solution to the inequality below?
4z - 4 < 43
yes or no
Plug it in like any normal algebra
4(11) - 4 < 43
44 - 4 < 43
40 < 43
The statement is correct.
Z = 11 is a solution.
GOLDEN RULE FOR INEQUALITIES
WHENEVER SOLVING AN INEQUALITY TREAT IT LIKE REGULAR ALGEBRA, but whenever you MULTIPLY or DIVIDE both sides of an inequality by a NEGATIVE NUMBER, you must flip the inequality symbol.
The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?
8000 hope it helps :) :)
Answer:
8000
Step-by-step explanation:
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Answer:
68ftStep-by-step explanation:
The formula of a perimeter of a rhombus:
P = 4a
a - length of side
We have a = 17ft
P = 4 · 17ft = 68ft