Answer:
x=-4
Step-by-step explanation:
2(x+6)=4
2x+12=4
2x=4-12
2x=-8
x=-4
Answer:
x = -4
Step-by-step explanation:
First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4
Next subtract 12 on both sides to get -8.
Lastly divide 2 on both sides to get x = -4
Hope this helps :)
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
The spider's movement is an illustration of a parabola.
The equation of a parabola is: [tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]The focus of a parabola is: (40,-30)The axis of symmetry is: [tex]\mathbf{x = 40}[/tex]The directrix is:[tex]\mathbf{y = 50}[/tex](a) The equation
The spider passes through the origin.
So, we have:
[tex]\mathbf{(x,y) = (0,0)}[/tex]
The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:
[tex]\mathbf{(h,k) = (40,10)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(0 - 40)^2 + 10}[/tex]
Subtract 10 from both sides
[tex]\mathbf{a(0 - 40)^2 =- 10}[/tex]
[tex]\mathbf{1600a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{160}}[/tex]
Substitute [tex]\mathbf{a =- \frac{1}{160}}[/tex] and [tex]\mathbf{(h,k) = (40,10)}[/tex] in [tex]\mathbf{(h,k) = (40,10)}[/tex]
[tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]
(b) The focus, directrix and the axis of symmetry
The focus of a parabola is:
[tex]\mathbf{Focus= (h, k + p)}[/tex]
Where:
[tex]\mathbf{p = \frac{1}{4a}}[/tex]
So, we have:
[tex]\mathbf{p = \frac{1}{4 \times -1/160}}[/tex]
[tex]\mathbf{p = -\frac{160}{4}}[/tex]
[tex]\mathbf{p = -40}[/tex]
So, we have:
[tex]\mathbf{Focus = (40,10-40)}[/tex]
[tex]\mathbf{Focus = (40,-30)}[/tex]
The axis of symmetry is:
[tex]\mathbf{x = h}[/tex]
So, we have:
[tex]\mathbf{x = 40}[/tex]
The directrix is:
[tex]\mathbf{y = k - p}[/tex]
[tex]\mathbf{y = 10 + 40}[/tex]
[tex]\mathbf{y = 50}[/tex]
Read more about parabolas at:
https://brainly.com/question/25237745
What is the value of the underlined digit?
56.13
5
5
50
10
100
10
Answer:
I think that the answer is 50
8/n = 1/3
help plssss
Answer:
24
Step-by-step explanation:
Answer:
n=1/24
Step-by-step explanation:
8/n=1/3
n=1/3÷8
=1/3×1/8
=1/24
What is 191 divided by 5 with a remainder
Answer:
your answer is 38 with a remainder of 1
Step-by-step explanation:
Nominator
191
Denominator
5
38.2= 38 Remainder 1
The result of 191/5 is a terminating decimal with 1 digit to the right of the decimal point.
191 divided by 5 in decimal = 38.2
191 divided by 5 in fraction = 191/5
191 divided by 5 in percentage = 3820%
On dividing 191 by 5, the remainder is 1.
The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.
Dividend = Divisor x Quotient + Remainder
On dividing 191 by 5
Step 1: Divide 191 into 5 parts: 191/5 = 38(integer part only)
Step 2: Divide the quotient you just calculated by the divisor (5).
38 × 5 = 190
Step 3: Subtract the result from the initial dividend from step 2 (191) (191):
191 - 190 = 1
Step 4: The remainder is the outcome of step 3:
1 is the result of dividing 191 by 5.
Therefore, the remainder after dividing 191 by 5 is 1.
Learn more about the mathematical operation, here:
https://brainly.com/question/29635854
#SPJ6
Which function represents the graph below?
Answer:
b
Step-by-step explanation:
Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4
Answer:
b) 2x - y = -4
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.
The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.
Next, we need to determine which of the given options matches the graph. It helps to transform each of them into their slope-intercept form, y = mx +b:
a) 2x + y = 42x - 2x + y = - 2x + 4
y = -2x + 4 (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).
b) 2x - y = - 42x - 2x - y = - 2x - 4
-y = -2x - 4
Divide both sides by -1:
[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]
y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.
We could easily disregard the last two options because both of their y-intercept is 0.
Therefore, the correct answer is Option b) 2x - y = - 4
A number is 120 less than 965. Find the number.
Answer:
845
Step-by-step explanation:
I think that's what it's asking??
Answer:
845
Step-by-step explanation:
We are looking for a new number which is 120 less than 965.
We will get the new number by subtracting 120 from 965.
We write it down as:
965-120=845
And finally the solution for: What number is 120 less than 965?
is 845
Have a good day :)
Please check this out #TeamSeas
Esteban is 11 years older than Mya. Last year Esteban was twice as old as Mya. How old is Mya now?
Answer:
Mya is 12
Step-by-step explanation:
EEstaban is 11 years older so Estaban was 22 and Mya was 11
so now Maya is 12
Hope this helps! :)
Answer: 12 years old
Step-by-step explanation:
Let x be Esteban's age, and let y be Mya's age.
x = y + 11
x-1 = 2(y-1)
Substitute
y + 11 - 1 = 2 (y - 1)
Solve
y + 10 = 2y - 2
12 = y
Hope it helps :)
Which equation in slope-intercept form has a graph with an x-intercept at 3 and a y-intercept at -2?
Answer:
a
Step-by-step explanation:
A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.
HELPP PLEASE will put brainliest
Answer:
Slope of function A is equal to slope of function B
Step-by-step explanation:
Function A
[tex]y =\dfrac{2}{5}x+1\\\\\\slope=\dfrac{2}{5}[/tex]
Function B:
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{3-[-1]}{5-[-5]}\\\\=\dfrac{3+1}{5+5}\\\\\\=\dfrac{4}{10}\\\\\\=\dfrac{2}{5}[/tex]
can someone please help??
Answer:
Step-by-step explanation:
si... yono em usho de cmopu preo sloo estoy usand una jjssjsjsj jsjsj c
What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?
A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third
Answer:
B
Step-by-step explanation:
Answer:
b?
Step-by-step explanation:
i think thats it sorry if wrong!
Robin earned $4,581 in 9 weeks. How much does he earn per week?
Answer:
$509 per weekStep-by-step explanation:
Well, in order to find the unit rate we simply do the following steps:
4,581 ÷ 9 = 509
So to answer the question, each week Robin earns $509.
Hope this helps! : )
Answer:
they earn 509 a week
Step-by-step explanation:4581 divided by 9
Free poi.nts but if you can figure this out:
We wish to send a message of size 150,000 bytes over the network. There are four hops, each of length 20 km and running at 100 Mb/s. However, before sending we split the message into 1500 byte packets. What is the end-to-end delay of the message? Use speed of light in copper c=2∗108 m/s, and round your answer to the nearest integer millisecond. (doubt ya'll will) - will give brainliest if you do
Answer:
hiiii how r u
Step-by-step explanation:
brainiest pleasee
Given that h is directly proportional to I, copy and complete the table. h) 15 30 75 (l)36 72
Answer:
Answer:(h) =***************************
(l)=***************
Home Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet.
Answer:
1/3
Step-by-step explanation:
to find slope
m=(vertical distance)/(horizontal distance)
m=8/24
m=1/3
115.6 is what % of 340
Answer:
34
Step-by-step explanation:
115.6/340 = 0.34 x 100 = 34 percent
5x-13=4x-14
help
please
I really neeed iit
Answer:
5x−13=4x−14
Subtract 4x from both sides.
5x−13−4x=4x−14−4x
x−13=−14
Add 13 to both sides.
x−13+13=−14+13
x=−1
Answer:
x=1
Step-by-step explanation:
negative signed solution of (x+9)^2=-9
also, what changes because of "negative signed solution"
HOPE IT HELPS YOU
CAN YOU BRAINLEST ME
Hellur, I need help with geometry homework....
Answer:
24
Step-by-step explanation:
all 3 corners of any triangle adds to 180
the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle
180 - 135 = 45
now you know 2 corners of the smaller triangle
111+45 = 156
156+x= 180
x= 24
Please help I will make you Brainliest if correct (you don't have to do number two if you don't want to)
Answer:
120?
Step-by-step explanation:
Might be incorrect. -_-
Answer: question 1, all you had to do was divide the shpaes up by simply finding the missing numbers and separating the two shapes.
The rectangle has a area of 96
The square has a area of 16. if we add this up we get a area of 112
so the area is 112cm^2
Happy To Help :)
Question 2. 8 x 2 is 16
2 x 10 is 20.. add that up we get 36m
Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers
from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.
Assume that Jake has no special abilities and is randomly guessing the numbers.
Jake's guesses are illustrations of probabilities.
The probability that Jake's guesses are correct is 1/720
The sample size is:
[tex]\mathbf{n = 10}[/tex] --- 10 different numbers
The probability that Jake's guesses are correct is as follows:
1st guess = 1/102nd guess = 1/93rd guess = 1/8So, the required probability is:
[tex]\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}[/tex]
[tex]\mathbf{Pr = \frac{1}{720} }[/tex]
Hence, the probability that Jake's guesses are correct is 1/720
Read more about probabilities at:
https://brainly.com/question/11234923
Answer:
Step-by-step explanation:
69632 + 69469 - 59303
Answer: 79798
Step-by-step explanation:
139101 - 59303
= 79798
please give me a brainliest answer
Answer:
79798
Step-by-step explanation:
69632
+ 69469
= 139101
- 59303
= 79798
Hope this helps :)
HELP PLEASE
-8/15 x = 19/15
What is x?
Answer:
x= -19/8
Step-by-step explanation:
PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!
Answer:
done this before
Step-by-step explanation:
cant see full picture but of what i know of is he spent 35 dollars on apples for his shop...?
Answer: 3x+5y=$33
X+y=9
Step-by-step explanation: X= number of pounds of apples y= number of ponds of oranges.
What are the factors of -3?
Step-by-step explanation:
The positive factors of -3 are 3 and 1
There is also -3 and -1
Miss Weight's recipe for Soup calls for
1 1/4 teaspoons of salt. She wants to
use 1/2
that amount. How much salt
Will she use?
Answer: 5/8 of a teaspoon of salt
Step-by-step explanation:
half of 1 is 1/2 or 4/8
half of 1/4 is 1/8
4/8 + 1/8 = 5/8
Express (3/5+ 3)^2
as a trinomial in simplest form.
Hey there!
Fun fact:
• MONOMIAL contains ONE term because MONO- means 1
• BINOMIAL contains TWO terms because BI- means 2
• TRINOMIAL contains THREE terms.. because TRI- means 3.
• POLYNOMINAL contains FOUR or MORE terms because POLY- means 4 or more
ANSWERING YOUR QUESTION
(3/5x + 3)^2
= (3/5x)(3/5x) + (3/5x)(3) + (3/5x)(3) + 3(3)
• 3/5x(3/5x) = 9/25x
• 3/5x(3) = 9/5x
• 3(3) = 9
= 9/25^2 + 9/5x + 9/5x + 9
• COMBINE the LIKE TERMS
= (9/25)x^2 + 18/5x + 9
Therefore, your answer is:
“9/25x^2 + 18/5x + 9”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
When polled to find out if they
preferred hamburgers or hot dogs, all 120
students in the class responded. Sixty-five
percent said they preferred hamburgers,
while the rest preferred hot dogs, The
Picnic Committee decided to order 2
hamburgers or 2 hot dogs for each
student, based on the students' choices.
How many hamburgers were ordered
Answer:
156 hamburgersStep-by-step explanation:
Number of students = 120
Number of those prefer hamburgers:
120*65/100 = 78Number of hamburgers ordered:
78*2 = 156Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \boxed{\bf hamburgers } & \boxed{\bf hot \ dogs } &\boxed{\bf Students } \\ 65\%& (100-65)=35\% & 120 p \\ \end {array }}[/tex]
Each person is given 2 burgers or 2 hot dogs
Then :
120*2*0,65=156 hamburgers
- + =6
- +
+ - =14
+ - +
- + =5
= = =
9 10 4
Step-by-step explanation:
20-17+3=6
18+1-5=14
7-8+6=5
20-18+7=9
17+1-8=10
3-5+6=4
4x-5y=-45
put the following equation of a line into slope- intercept form, simplifying all fractions.