Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
how many quarts make 5 gallons
Answer:
4 quarts
Hope it helps!
Step-by-step explanation:
Answer: 5 gallons= 20 quarts
1 gallon = 4 quarts
PLEASE ANSWER QUICKLY ASAP
please read question carefully
Answer:
340 im pretty sure
Step-by-step explanation:
Find the sum of −2 5/10 and −5 4/15. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
Exact Form: -5/2, -79/15 Decimal form: -2.5, -5.26 mixed number form: -2 1/2, -5 4/15
Answer:
-7 9/10
Step-by-step explanation:
First, I converted the mixed numbers into improper fractions, which left me with 25/10 plus 79/15. I had to find common denominators for the both of them, and I ended up with 30. 10 goes into 30 3 times, and 3 times 25 is 75. 15 goes into 30 two times, and 2 times 79 is 158. That left me with 75/30 plus 158/30 and my first answer was 237/30. I then had to convert that improper fraction into a mixed number. 237 divided by 30 is 7 with a remainder of 27. My next answer to this problem was
7 9/10. A negative plus a negative equals a negative number, so the final answer is -7 9/10.
Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
15 decreased by twice a number
Answer:
Hello! I hope I am correct! (Picture below)
Step-by-step explanation:
Function:
Y=15-2x
The word “decreased” means subtraction & The word “twice” means 2x (2 times)
Therefore, the answer is 15-2x.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Look at picture.
Brainliest would be appreciated!
Hope this helps!
By: BrainlyAnime
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers
Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
A positive number is 7 times another number:
a = 7bIf 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:
a+3 = 5/2 × (b +3)To solve this we substitute a with 7b in the second equation:
7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 214b + 6 = 5b + 15 ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1 ⇒ solved for bThen, finding a:
a= 7ba=7*1a= 7 ⇒ solved for aSo the numbers are 7 and 1
Solve for x. A. 19 B. 17 C. 15 D. 11
Answer:
B. 17
Step-by-step explanation:
By the property of intersecting secants outside of a circle, we have:
7 (7 + x) = 8 (13 + 8)
49 +7x = 8*21
7x = 168 - 49
7x = 119
x = 119/7
x = 17
c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on green? If the probability of it is 39/300
Answer:
130
Step-by-step explanation:
Probability of green:
P= 39/300Number of attempts:
1000Expected number of landing on green:
Expected frequency = probability × number of trials1000*39/300 = 130 timesAnswer: 130 times
Find the first four terms of the sequence given a1=18 and an+1=2+an2. A. 18, 10, 6, 5 B. 18, 10, 6, 9 C. 18, 14, 6, 9 D. 18, 10, 6, 4
The first four terms of the given sequence are 18, 10, 6, and 4 respectively.
What is a sequence?A sequence is an ordered list object which related and connected by a common value.
There are many sequences. They are Arithmetic sequence, Geometric sequence, and so on.
Calculation:It is given that,
The first term of the sequence is a1 = 18
And the terms of the sequence are related by,
a(n + 1) = (2 + an)/2
For n = 1;
a(1 + 1) = (2 + a1)/2
⇒ a2 = (2 + 18)/2 = 10
For n = 2;
a(2 + 1) = (2 + a2)/2
⇒ a3 = (2 + 10)/2 = 6
For n = 3;
a(3 + 1) = (2 + a3)/2
⇒ a4 = (2 + 6)/2 = 4
Thus, the first four terms of the given sequence are a1 = 18, a2 = 10, a3 = 6, and a4 = 4.
Learn more about a sequence here:
https://brainly.com/question/6561461
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Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.
Answer:
y = - 140
Step-by-step explanation:
Given that y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = - 180 when z = 15 and x = - 3, thus
- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )
4 = k
y = 4xz ← equation of variation
When x = 7 and z = - 5, then
y = 4 × 7 × - 5 = - 140
What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm
Answer:
28\3
Step-by-step explanation:
Can someone please help!
Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
Answer: Choice DWhats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?
Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder
[tex]V=\pi r^2h[/tex]
Where, r = radius
h = height
Put the value into the formula
[tex]V=\pi\times(2)^2\times13[/tex]
[tex]V=163.3\ cm^3[/tex]
Hence, The volume of the cylinder is 163.3 cm³.
is 11-2x the same as 2x-11
No they are not the same.
We can plug in x = 0 to get
11-2x = 11-2(0) = 11-0 = 11
2x-11 = 2(0)-11 = 0-11 = -11
We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.
On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.
note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.
I need help on this question please.
Answer:
27π inch^3
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! The price of coffee has dropped to $2.30. Yesterday's price was $2.55. Find the percentage decrease. Round your answer to the nearest tenth of a percent
9.8 percent. All you have to do is subtract 2.30 from 2.55 and then divide that answer by 2.55 and then multiply that by 100
Answer:
9.8%
Step-by-step explanation:
Step 1: Find the change in price
2.55 - 2.30 = $0.25
Step 2: Divide change with original price
0.25 / 2.55 = 0.098....%
Step 3: Multiple by 100 to get percent
0.098 x 100 = 9.8%
Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?
Answer:
Explained below.
Step-by-step explanation:
The question is:
Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?
(1)
Compute 1/4th of the math class room as follows:
[tex]=700\times\frac{1}{4}\\=175[/tex]
Thus, 1/4th of the math class room is 175 m².
(2)
Compute 3/4th of the math class room as follows:
[tex]=700\times\frac{3}{4}\\=525[/tex]
Thus, 3/4th of the math class room is 525 m².
(3)
Compute 3/5th of half an hour as follows:
[tex]=30\times \frac{3}[5}\\=18[/tex]
Thus, 3/5th of half an hour is 18 minutes.
(4)
A square meter of wall required 4/7 liter of paint.
Then 2/5 of a square meter will require,
[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]
Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.
(5)
1 glass of orange juice can be made using 2/5 of an orange.
Then 2 and half glass will require,
[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]
Thus, 1 orange will be required to make 2 and half glass of orange juice.
In the expression 7³ - 4 · 3 +8, the first operation is? A. An Exponent B. Subtraction C. Multiplication D. Addition
Answer:
An exponent
Step-by-step explanation:
look at PEM/DA/S
Parenthesis
EXPONENTS
and then you can stop the first operation is 7^3
this is an exponent
(also brainliest if this helped please!)
The first operation according to the PEM/DA/S rule to evaluate the 7³ - 4 · 3 +8 expression is an exponent.
What is PEM/DA/S rule?It is the order or sequence of evaluating a math expression. We can remember the order using PEM/DA/S: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In the given expression, using PEM/DA/S rule (Sometimes called BODMAS; the synonym of PEM/DA/S):
evaluate 7³ - 4 · 3 +8
The first operation is an exponent term, i.e.,
[tex]7^{3}[/tex]
Hence our first operation in the sequence of evaluating the given expression value is an exponent.
To learn more about PEM/DA/S, refer to the link:
https://brainly.com/question/36185
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Write the following fractions as mixed number: 46/9, and 32/5
Answer:
[tex]5 \frac{1}{9}[/tex]
[tex]6 \frac{2}{5}[/tex]
Step-by-step explanation:
We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.
In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:
[tex]5 \frac{1}{9}[/tex].
In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:
[tex]6 \frac{2}{5}[/tex].
Hope this helped!
Answer:
5 1/9 and 6 2/5
Step-by-step explanation:
The simplest way to convert improper fractions into mixed fractions is by long division (see attached).
The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race?
Answer:
2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5
Special right triangles
what should we do??? the question isn't there!
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?
Answer:
It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.
Step-by-step explanation:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Answer:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Step-by-step explanation:
just copy/paste
How can I find how many 13 are in 33?
Answer:
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
Step-by-step explanation:
Long division:
13 33
13*2 = 26
33 - 26 = 7
we have: 33/13 = 2 r7
we know that we can rewrite the remainder as 7/13
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
3x is a ____ of 3x^2 - 6x^3.
Answer:
[tex]\boxed{factor}[/tex]
Step-by-step explanation:
Hey there!
3x * x = 3x^2
3x * 2x = 6x^3
So 3x is a factor of 3x^2 - 6x^3.
Hope this helps :)
(Will give brainliest to the most explained answer!) Can someone explain how to factor Polynomials. Please explain it like you’re teaching this to a 5 year old. :)
Step-by-step explanation:
Find the Greatest Common Factor (GCF) of a polynomial.
Factor out the GCF of a polynomial.
Factor a polynomial with four terms by grouping.
Factor a trinomial of the form .
Factor a trinomial of the form .
Indicate if a polynomial is a prime polynomial.
Factor a perfect square trinomial.
Factor a difference of squares.
Factor a sum or difference of cubes.
Apply the factoring strategy to factor a polynomial completely
Answer:
See explanation
Step-by-step explanation:
We can factor polynomials by breaking down the expression.
For instance, let's say we have the polynomial [tex]x^2 - 9x + 14[/tex].
We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ([tex]ax^2 + bx + c[/tex].)
To factor a polynomial, we are looking for two numbers that:
A. When multiplied, get us [tex]c[/tex] (in this case, 14)
B. When added, get us [tex]b[/tex] (in this case, -9).
If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.
However, these numbers ADD to be -9, meaning that they both need to be negative.
[tex]-7 + -2 = -9\\-7\cdot-2=14[/tex]
Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by [tex](x + y)[/tex], y being our factor.
So our factors turn out to be [tex](x-7)[/tex] and [tex](x-2)[/tex].
Let me know if you need anything explained more, and I hope this helped!
Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.
Answer:
26.5 liters
Step-by-step explanation:
We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78 by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.
find a rational number that is between 5.2 and 5.5. explain why it is rational.
Answer:
5.3
Step-by-step explanation:
A rational number is a number that can be written as the quotient of two integers.
5.2 and 5.5 are both rational since they can be written as quotients of integers as shown below.
5.2 = 52/10
5.5 = 55/10
5.3 is a number between 5.2 and 5.5, and since 5.3 can be written as 53/10, it is rational.
Answer: 5.3
Answer:
Step-by-step explanation:
rational numbers can be written in form a/b where b≠0
5.2 and 5.5
52/10 and 55/10
so some rational numbers could be
53/10, 54/10
irrational numbers most likely the square root numbers
square them
5.2^2=27.04
5.5^2=30.25
5.2<?<5.5
square everybody
27.04<?²<30.25
so pick a number between 27.04 and 30.25
29 or 30 are 2 numbers
I'll pick 29
?²= 29
square root
?=√29
the irrational number can be √29
it is 5.39 to the hundredth
hey i suck at math can someone help me with this question
we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part
area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.
for bigger trapezium, $h=4$ parallel sides are $5$ and $5$
hence area is $\frac{4(5+5)}{2}=20$
similarily area of white trapezium, $\frac{4(3+3)}{2}=12$
and area of striped part is $20-12=8$
There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?
Help, Answer ASAP; will give brainliest
Answer:
Step-by-step explanation:
measure of a = 9 degree
angle POM = 48 degree = angle NMO [ AIA}
HOPE IT HELPS
Answer:
Below
Step-by-step explanation:
We are given that <PMO= (3a+15)° and NMO= (6a-6)°
Notice that the sum of <PMO and <NMO gives a right angle.
● <PMO+<NMO = 90°
● 3a+15+6a-6 = 90
● 9a + 9 = 90
Substruct 9 from both sides
● 9a +9 -9 = 90 -9
● 9a = 81
Divide both sides by 9
● 9a/9 =81/9
● a = 9
So the value of a is 9°
■■■■■■■■■■■■■■■■■■■■■■■■■■
MN and PO are parallel since MNOP is a rectangle.
MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.
● <NMO = <POM
● <POM = 6a-6
The value of a is 9°
● <POM = 6*9-6 = 48°
So <POM = 48°