: [tex]s = - \frac{2}{5} [/tex]
: since | r | > 1 the series has no sum
#CARRYONLEARNING
11. Through (5,2) perpendicular to 5x+y=-3
Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2
Answer:
When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.
8=4(-1)+b
8=-4+b
b=12
So, the equation of the line is y=4x+12.
:)
y=4x-2
m=4Parallel lines have equal slopePt(-1,8)Equation of line in point slope form
[tex]\ \ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\ \ \sf\longmapsto y-8=4(x+1)[/tex]
[tex]\ \ \sf\longmapsto y-8=4x+4[/tex]
[tex]\ \ \sf\longmapsto 4x-y+12=0[/tex]
Solve the inequality and enter your solution as an inequality.
x/-5 < 10
Answer:
x>-50
Step-by-step explanation:
x(-1)/-5>10(-1)
x/5>-10
×5 both sides
5x/5>5(-10)
x>-50
What is one of the major uses of physical geography? O A To help people prepare for dangerous weather B. To identify similarities between different religions OC. To allow governments to plan for population growth D. To explain why countries go to war with one another
Answer:
A
Step-by-step explanation:
Can someone please help me with this
Answer:no not in amillion years
Step-by-step explanation:hehe nahhhhhhhhhh lll
Give the equation for the line: please someone answer this for me woth 20 points!!!!!
Answer:
y=x/4
Step-by-step explanation:
slope =y2-y1/x2-x1
=1-0/4-0=1/4
Answer: slope intecept form: y = 1/4x
Step-by-step explanation: first we need to find the slope:
Since we have the coordinates (0,0) and (4,1), we can find the slope, which we find 1/4. We can double check this by seeing if the next point is found +4 to the right and up 1.
We have y = 1/4x + b right now, so we need to find the y intercept, in which case is zero because it goes through the origin.
So your final answer is y = 1/4x + 0, or y = 1/4x for short.
Hope this helps!
When a figure is rotated it’s angle measures and it’s orientation
Answer:
Than it's a good measure must be a good thing
The printer in the library prints 78 pages in one minute. How longdoes it take to print 1,950 pages
Answer:
25 minutes
Step-by-step explanation:
1950/78=25
Answer:
25 minutes
Step-by-step explanation:
Just divide 1,950 by 78.
A tree was 4ft tall when it was planted. It grows 2ft per year. Which equation could be solved to determine how many years the tree will take to grow to a height of 16ft from the time it was planted?
Answer:
the ecuation is 4+2x=16, and x is the number of years the tree needs to grow to a height of 16 ft
Write the equation of the line in fully simplified slope-intercept form.
Answer:y=2/5x+5
Step-by-step explanation:
Kyle has two pieces of rope. The lengths of the ropes are 241.38 centimeters and 264.7 centimeters. What is the difference in length between the two pieces of rope?
Answer:
23.32
Step-by-step explanation:
264.7-241.38=23.32
Answer:
23.32
Step-by-step explanation:
264.7-241.38=23.32
Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex]
Hello studentUnion!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]
Let's multiply both the sides of the equation by x (x - 3) & (x + 4) which is the LCM of (x - 3), (x + 4) & x. We can't solve it directly without taking the LCM first as the denominators are not equal to each other. Then do cross multiplication. After all these steps, you'll get an equation as..
[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ [/tex]
Now, use the distributive property & simplify it.
[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ \left(x^{2}+4x\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(x^{2}-3x\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(4x^{2}-12x\right)=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-4x^{2}+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+20x+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=x^{2}+x-12 \\ x^{2}+32x-x^{2}=x-12 \\ 32x=x-12 \\ 32x-x=-12 \\ 31x=-12 \\ \boxed{ \boxed{ \bf \: x=-\frac{12}{31} }}[/tex]
The value of x is -12/31.__________________
Hope it'll help you!
ℓu¢αzz ッ
Answer:
[tex]\frac{5}{x-3} -\frac{4}{x+4} =\frac{1}{x}[/tex]
[tex]\frac{5(x+4)-4(x-3)}{(x-3)(x+4)} =\frac{1}{x} \\[/tex]
[tex]\frac{5x+20-4x+12}{(x-3)(x+4)} =\frac{1}{x}[/tex]
[tex]\frac{x+32}{(x-3)(x+4)} =\frac{1}{x}[/tex]
Use Cross multiplication
[tex]x(x+32)=(x-3)(x+4)[/tex]
[tex]x^{2} +32x = x^{2} +4x-3x-12[/tex]
[tex]x^{2} +32x=x^{2} +x-12[/tex]
[tex]x^{2} +32x-x^{2} -x=-12[/tex]
[tex]31x = -12[/tex]
[tex]\frac{31x}{31} =\frac{-12}{31} \\x = \frac{-12}{31}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
4(9x + 11) + 5(3x + b) = ax + 9
I gotta find a and b in the next 10 minutes lol-
Answer:
a = 51 , b = - 7
Step-by-step explanation:
Expand and simplify left side , then compare like terms on both sides.
4(9x + 11) + 5(3x + b) ← distribute parenthesis
= 36x + 44 + 15x + 5b ← collect like terms
= 51x + 5b + 44
Compare terms with right side ax + 9
Compare x - terms
51x and ax
For these terms to be equal then
a = 51
Compare constant terms
5b + 44 and 9
For these terms to be equal , then
5b + 44 = 9 ( subtract 44 from both sides )
5b = - 35 ( divide both sides by 5 )
b = - 7
The population of a town changed by -17.4% over 4 years. What was the average change per year?
Fill in the blank.
please help
Answer:
The population of a town changed by -17.4% over 4 years. What was the average change per year? - 25400422.
Step-by-step explanation:
Write an equation of the line that passes through the point A (6,-1) that is perpendicular to the line y = -2x + 8
Answer:
y= 1/2x-2
Step-by-step explanation:
y+1= 1/2(x-6)
y+1= 1/2x -3
y= 1/2x-2
What are the values of angles 1 and 2?
Answer:
45o
Step-by-step explanation:
Angles 1 and 2 form a linear pair and are supplementary. So to find m∠2, subtract m∠1 from 180o. m∠2 = 180o - 135o = 45o.
Answer: 90
Step-by-step explanation:
You can write "the measure of angle 1" as m ∠1. ∠1 and ∠2 are complementary, and m ∠2 = 32. Find m ∠ 1. m ∠1 + 32 = 90 Substitute 32 for m ∠2.
Solve each quadratic inequality then test their interval of the inequality.
1. x² - x - 20 > 0
2. x² - 2x - 11 < 0
3. x²+ 9x + 14 > 0
4. r² - 10r + 16 > 0
Answer:
1 . x < − 4 or x > 5
2 . 1 − 2 √ 3 < x < 1 + 2 √ 3
3 .x < − 7 or x > − 2
4. r < 2 or r > 8
Step-by-step explanation:
Is Jenny needs 100 pages printed and each page costs .10 cents how much will she spend
Answer:
$10
Step-by-step explanation:
100 x 0.10 = 10
Answer:
10 dollars
Step-by-step explanation:
each square on a grid represents 1 unit on each side.Calculate the slide of Graph E.What situation could the graph represent
Answer:
p=4x
Step-by-step explanation:
The line is straight
TRIGNONMETRY
Two bike riders are traveling down a road when they reach a split in the road. The two bikers take separate routes at 17 km/h and 24 km/h. About 2 hours later they are 38 km apart. Draw a labeled sketch of the situation and then determine the angle between the
path of the two bikers to the nearest degree.
Answer:
i like ur pp
Step-by-step explanation:
If AB is 300% what is the length of a line segment that is 100%
Find the y-intercept of the following equation. (Simplify your answer.)
18x + 5y = 10
Answer: y-int = 2
Step-by-step explanation:
set x=0
so 18(0) + 5y = 10
solve for y by dividing both sides by 5
5y/5 = 10/5
y=2
Solve each equation.
1. 8z = 112 ____
2. d/14 = 7 ___
3. f/28 = 24 ___
4. 3a = 57 ____
Answer:
Step-by-step explanation:
1. 8z = 112 _z = (112/8); z=14
2. d/14 = 7 _ d = 7*(14); d = 98
3. f/28 = 24 ___f = 28(24); f= 672
4. 3a = 57 ____ a = 57/3; a = 19
Julissa has 15 stamps and Ethan has 14 stamps. Pawel has three times the number of stamps as Julissa and Ethan combined. Julissa thinks that 100 is a reasonable estimate for the number of stamps that Pawel has.
What is an estimate of the number of stamps that Pawel has? Is 100 a reasonable total?
32; 100 is a reasonable total
90; 100 is a reasonale estimate
213; 100 is not a reasonale estimate
630; 100 is not a reasonale estimate
Answer:
B. 90; 100 is a reasonable estimate
Step-by-step explanation:
15 + 14 = 29 (combined number of stamps Julissa and Ethan have)
Pawel has three times 29 stamps
29 ×3 = 87 (number of stamps Pawel has)
90 is the closest estimate to the amount of stamps Pawel has.
Therfore, 90 is the correct estimate and 100 is a reasonable estimate.
Joe wants to make a path around the outside perimeter of his vegetable garden which is 50’ x 70’. If the path is of uniform width and the entire garden and path are to cover a surface area of 4524 sq feet how wide should the path be
We will see that the path should be 4 feet wide.
How wide should the path be?
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we know that the dimensions of the garden are:
L = 50 ftW = 70 ftNow if we add a path of width x that surrounds it, the new length and width will be:
L' = 50 ft + 2xW' = 70 ft + 2xAnd the area of this rectangle must be 4524 ft^2, then we have:
(50 ft + 2x)*(70 ft + 2x) = 4524 ft^2
Now we can solve this for x.
Ignoring the units, so the math is easier to read, we have:
(50 + 2x)*(70 + 2x) = 4524
50*70 + 50*2x + 2x*70 + 2x*2x = 4524
3500 + 240x + 4x^2 = 4524
4x^2 + 240x + 3500 - 4524 = 0
4x^2 + 240x - 1024 = 0
Now to simplify the quadratic equation, we can divide both sides by 4 to get:
x^2 + 60x + 256 = 0
The solutions of the quadratic equation are given by Bhaskara's formula:
[tex]x = \frac{-60 \pm \sqrt{60^2 - 4*1*(-256)} }{2*1} \\\\x = \frac{-60 \pm 68 }{2}[/tex]
We only care for the positive solution (the negative one does not make physical sense).
x = (-60 + 68)/2 = 4
So the width of the path must be 4 ft.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the combined weight in pounds of the people in the elevator?Find 40% of 3,000.Find 40% of 4,000.Find 50% of 3,000.Find 50% of 4,000.
Answer:
50% of 3000
Step-by-step explanation:
49% is very close to 50% (half). 3,025 pounds is very close to 3,000 pounds.
Half of 3,000 pounds is 1,500 pounds.
Answer:the correct answer is (c)-Find 50% of 3,000.
Step-by-step explanation:i got right in egde 2023
help please :)
i’ll mark you brainly + points
Answer:
C 10^-3
Step-by-step explanation:
because the other options are the same as 10^ -3/5
Answer:
It would be 10^-3
Step-by-step explanation:
someone know answer?
Answer:
whats the question
Step-by-step explanation:
The Redwood Heights Women’s Club is hosting a summer nighttime party in the park. They are handing out glow sticks to all the children who attend. They start with 200 glow sticks and each child receives 3 glow sticks. The function graphed models the number of glow sticks they have left after xchildren have entered.
Answer:
African Americans contributed to the war by
combat service elements alongside their white counterparts and were involved in all major combat operations, including the advance of United Nations Forces to the Chinese border. Two African-American Army sergeants, Cornelius H. Charlton and William Thompson, earned the Medal of Honor.
African americans have contributed to the war by. BY. BY. BY. BY.
Step-by-step explanation:
1. Vanessa scored one million points
on a video game. Which of the
following is one million written with
an exponent?
Answer:
1.0·E6 or 1.0·10^6
Step-by-step explanation:
1,000,000: one million.
Note that there are 6 zeros here.
1,000,000 written in exponential form would be 1.0·E6 or 1.0·10^6
Answer:
10^6
Step-by-step explanation: