Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
To learn more about the equation of line visit:
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Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance the rock traveled, in feet, after each second. Use the information in the image to answer the question.
Answer:
Step-by-step explanation:
1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).
2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground
you may have to change the english a bit and english is not my first language
hope this will help
Plz help ASAP will give brainliest if answered correctly!!
Answer:
C
Step-by-step explanation:
Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C
Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?
Answer:
D
Step-by-step explanation:
The explicit rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 23 and from the recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] , then r = 5 , thus explicit formula is
[tex]a_{n}[/tex] = 23 × [tex]5^{n-1}[/tex] → D
The correct option is D.
The calculation is as follows:The explicit rule for a geometric sequence is
[tex]an = ar^{n-1}[/tex]
Here
a represents the first term
r represents the common ratio
So,
[tex]a_n = 5a_{n-1}[/tex]
So,
[tex]a_n = 23\times 5^{n-1}[/tex]
Learn more: brainly.com/question/17429689
Hey anybody help out this difficult in my opinion
Answer:
Just describe what you see.
Step-by-step explanation:
- For the first one you are dividing 4/3 by 4/3, so you would write something like Karen is dividing 4/3 by 4/3.
- For the second description say something like Karen multiplied and simplified 3/4 x 4/3 and when you do that you get 1.
(what you teacher is making you do is seriously complicated for no reason)
Evaluate 4 ÷ 5/6 Give your answer as a mixed number in its simplest form.
Answer:
4 ÷ 5/6
= 4 × 6/5
= 24/5
= 4 4/5
Hope this helps.
:))))))))))))))))))))
Answer:
C
Step-by-step explanation:
[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]
Hope this helps..
Answer:
C. [tex] a \ge -6 [/tex]
Step-by-step explanation:
[tex] 48 \ge 6 - 7a [/tex]
Add 7a to both sides.
[tex] 7a + 48 \ge 6 [/tex]
Subtract 48 from both sides.
[tex] 7a \ge -42 [/tex]
Divide both sides by 7.
[tex] a \ge -6 [/tex]
Answer: [tex] a \ge -6 [/tex]
HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
-----------------------------------------------------------------------------------------------------------------
3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
Find the sum
[tex](4 {xy}^{2} - {3x}^{2}y - 5xy - 6 ) + ( - {5xy}^{2} - 2xy + 3)[/tex]
Answer:
[tex]-3x^2y-xy^2-7xy-3[/tex]
Step-by-step explanation:
[tex](4xy^2-3x^2y-5xy-6)+(-5xy^2-2xy+3)[/tex]
[tex]4xy^2-3x^2y-5xy-6-5xy^2-2xy+3[/tex]
[tex]-3x^2y-xy^2-7xy-3[/tex]
Gregory spins the spinner once. What is P(vowel)?
PLEASE HELP ME!!!
Answer:
There is two vowels and 6 sections in total
2 wanted sections / 6 total sections = 1/3
1/3 chance or 33.33333%
Step-by-step explanation:
Arithmetic Reasoning
4. A duplicator can make 75 copies of a letter per minute, and 300 copies from one master. After how long must the master sheet be changed?
a. 4 minutes
b. 5 minutes
C. 6 minutes
d. 15 minutes
Answer:
a. 4 minutes
Step-by-step explanation:
Since the duplicator makes 75 copies a minute, and can only make 300 copies from one master, we divide 300 copies by 75 copies, leaving us with four. So our answer is that the master sheet must be changed every 4 minutes.
When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.
Answer:
= $5530
Finds us 8.2%
Step-by-step explanation:
if 8.2 was recommended for utilities then we need to find 8.2% of $65,000
We take 65000 x 0.082 = 5530
Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.
We write it as $5,530 in pen and type in whole amount as $ 5530.
Answer:
$5,330
Step-by-step explanation:
Read this statement:
"The McKinneys' annual income is $65,000."
Now, read this statement:
"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"
Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.
8.2% of $65,000 = 0.082 * $65,000 = $5,330
Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.
Answer:
The answer is a
Step-by-step explanation:
I hoped i helped
plz plz plz i really need this will mark bianleast
Triangle DEF is to be translated left 2 units, up 4 units.
What are the vertices of the translated triangle?
D'(–1, 5), E'(3, 2), and F'(5, 8)
D'(–1, –3), E'(3, –6), and F'(5, 0)
D'(–5, 5), E'(–1, 2), and F'(1, 8)
D'(–5, –3), E'(–1, –6), and F'(1, 0)
Mr.Brown is planting trees in a field that is one mile long and 2 miles wide. How much is his field.
Answer:
Step-by-step explanation:
Wtwtettete
Answer:
2 miles squared.
Step-by-step explanation:
A= length times width
A= 1 mile times 2 miles
A= 2 miles squared
whats 2+2 ? ( This is worth 60 points go get them )
2+2 = 4
Very easy, just add them lol gotem
Answer:
4
Step-by-step explanation:
2 + 2
Add the numbers.
= 4
Jake took a handful of M&Ms from the candy dish on the coffee table.
gave half of them to his little sister. He sorted the M & Ms he had left and
put one third of them back in the dish because they were read and he do
not like red M & Ms. That left Jake with 6 M & Ms. How many did Jake hav
in his original handful?
Answer:
36
I want brainliest
Step-by-step explanation:
6 x 3/1 or 6 x 3 = 18
put the reds back in
18 x 2 = 36
take the ones from his sister
Answer = 36
Step-by-step explanation:
6 x 3/1 or 6 x 3 = 18
reds go back in
18 x 2 = 36
take ones from the sister and there u go
Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the number be?
Answer:
The number is 21.
Step-by-step explanation:
First you need to solve for n.
So the equation would be 2n = |5n-63|
First you'd subtract 5n from each side, that would give you -3n=|-63|
Then you need to divide each side by -3 to get n=21.
~~~~~
To check, you can just plug 21 back into the equation.
2(21) = |5(21) - 63|
42 = |105-63|
42 = |42|
42 = 42
PLEASE PLEASE PLEASE HELP
Step-by-step explanation:
I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w
length)by ⅞(width)
1)width=⅞÷1/8=7rectangles
2)length=3 /5÷1/5=3rectangles
thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)
Please hurry!!!
What is the solution of sqrt2x+4=16?
X=6
X=72
X=126
No solution
Answer:
126
Step-by-step explanation:
squaring both sides
([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]
⇒2x+4=256
2x=252
x=252/2=126
Yasmine earns $54 for dog walking. She walks her neighbors dog 12 times.
Write an equation that represent how to find the amount Yasmine earns per dog walk explain what your variable represents.
How much does Yasmine earn per dog walk.
Answer:
$4.5
Step-by-step explanation:
If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.
54/12
= $4.5 So she earns $4.5 every time she walks her neighbors dog
Simplify 2(x - 4) + 7(x + 2). 9x + 6 9x - 4 9x - 6
Answer:
-The final answer is [tex]9x + 6[/tex] .
Step-by-step explanation:
Simplify the following equation:
[tex]2(x - 4) + 7(x + 2)[/tex]
-Use Distributive Property:
[tex]2(x - 4) + 7(x + 2)[/tex]
[tex]2x - 8 + 7x + 14[/tex]
-Combine [tex]2x[/tex] and [tex]7x[/tex] together:
[tex]2x - 8 + 7x + 14[/tex]
[tex]9x - 8 + 14[/tex]
Add [tex]-8[/tex] and [tex]14[/tex] together:
[tex]9x - 8 + 14[/tex]
[tex]9x + 6[/tex]
So, the final answer is [tex]9x + 6[/tex] .
What is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
Since angle B is equal to angle C
AC = AB
3x-15 = x+33
Subtract x from each side
3x-15 -x=x+33-x
2x-15 = 33
Add 15 to each side
2x-15+15 = 33+15
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
We want BC = x
BC = 24
pls answer as quick as possible for brainliest!!
Answer:
15
Step-by-step explanation:
(2 1/2 + 1 1/2 + 3 1/2) = 7 1/2 * 2 = 15
Answer:
15
Step-by-step explanation:
2.5+1.5+3.5 = 7.5
7.5*2 = 15
a garden has the lengths of 11m,8m,19m and 10m work out the area
Answer:
A(lawn) = 68 m²
Step-by-step explanation:
A(lawn) = Agarden - Aflower - Avegetables
= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2
= 140m² - 12m² - 60m²
= 68 m²
A(rectangle) = w × h
A(triangle) = ½ × b × h
A(trapeze) = ½(B+b) × h
Find the measure of an exterior angle of a regular hexagon
Answer: 60 degree angle
Step-by-step explanation:
The rule for polygons is that the sum of the exterior angles adds up to 360. Since there are 6 exterior angles on a 6 sided polygon (hexagon), then we can divide 360 by 6 to find the measure of an exterior angle. This means that one exterior angle of a hexagon is equal to 60 degrees.
What is the explicit formula for the geometric sequence with this recursive formula?
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )
with r = [tex]\frac{1}{4}[/tex]
Then explicit formula is
[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1
Answer:
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term
Step-by-step explanation:
select the two valuse of x that are roots of this equation. x^2+2x-5=0
Answer:
1 + sqrt(6)
You can't factor this by itself so you have to use the quadratic formula
Step-by-step explanation:
Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer:
Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64 ---4 67x54 5xe4t4 6x
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.
(8,1); y=-8x-1
Answer:
y= ⅛x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product if the gradients of 2 perpendicular lines is -1.
Gradient of given line= -8
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
y=⅛x +c
To find the value of c, substitute a coordinate.
When x=8, y=1,
1= ⅛(8) +c
1= 1 +c
c= 1 -1
c= 0
Thus, the equation if the line is y= ⅛x.
