The focus of the parabola -40x = y2 is:
(-10, 0)
(0, -10)
(0, 10)
(10, 0)
Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].
The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
i.e
[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]
New co-ordinates:-
[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]
what is the value of x? what is the length of MN.
Pls ASAP
Answer:
x = 20, MN = 36Step-by-step explanation:
It is assumed the triangles in the picture are similar.
As per similarity, the ratio of corresponding sides is same.
Compare the ratios and find the value of x:
MN/JK = MP/JL(2x - 4)/12 = 15/5(x - 2)/6 = 3x - 2 = 18x = 20Find the length of MN:
MN = 2*20 - 4 = 40 - 4 = 36[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]
[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]
[tex]\\ \sf\longmapsto 180=10x-20[/tex]
[tex]\\ \sf\longmapsto 10x=200[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get
Answer:
3-4
because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is
4 3 3 3
someone please help this is due in 25 minutes
Because it is an isosceles triangle, the 2 sides that are given will be equal to each other.
15=4x+3
(subtract 3 on both sides)
12=4x
(divide by 4 on both sides)
x=3
Hope it helps!
Answer:
x = 3.
Step-by-step explanation:
1. 4x + 3 = 15
2. Subtract 3 from both sides.
3. Divide by 4 from both sides.
Complete the table for the given rule.
Rule: y=x-1/4
A student answer 86 problems on a test correctly and received a grade of 98% how many problems were on the test if all the problems worth the same number of points
Answer:
87 or 88
Step-by-step explanation:
86 is 98% of 87.755102
So, the number of problems must have been 87 or 88
The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon
Answer:
Sum of exterior angle is [tex]360^0[/tex]
Value of each exterior angle is [tex]120^0[/tex]
Step-by-step explanation:
Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]
Here
[tex](n-2)180=180\\\\n=3[/tex]
Hence the polygon is triangle
Sum of exterior angle is [tex]360^0[/tex]
Sum of one exterior angle
[tex]=\frac{360}{3} \\\\=120^0[/tex]
Solve for m.
m+13<−214
m>−11112
m>−2712
m<−11112
m<−2712
Answer:
You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^
The correct answer is m<- 2 7/12
Step-by-step explanation:
This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities
Good luck everyone of the rest !!!!
The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
What is inequality? What is a mathematical function, equation and expression? inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are the inequalities and it is asked to solve for [m].
The given inequalities are given as follows -
m + 13 < − 214
m > − 11112
m > − 2712
m < − 11112
m < − 2712
Now, we can write -
m + 13 < − 214
m < - 214 - 13
m < - 227
Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)
Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
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mori has 6 7/10 pounds of potatoes. she uses some of the potatoes in a salad. now she has 2 2/5 pounds of potatoes left. How many pounds did maori use?
Answer:
43/10 pounds = 4 3/10 pounds
Step-by-step explanation:
for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bread biscuits are there in the tin?
Answer:
32
Step-by-step explanation:
There are 80 biscuits inside the tin.
Also, they said that those biscuits are in the ratio
Short bread : Choc - chip
2 : 3
Altogether there are 5 shares ( 2 + 3)
And now you can divide 80 by 5 to find how many biscuits contain per a share.
80 ÷ 5 = 16
In the question, they asked us to to find the number of short biscuits inside the tin.
Let us find that.
There are 2 shares for short bread biscuits.
So,
Number of short biscuits ⇒ 2 × 16
⇒ 32
Hope this helps you :-)
10x + 4y = 16 in slope intercept form
Show your work please
[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = [tex]\frac{-10}{4}[/tex] x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
Please help will mark brainliest 12 x 12 - 44
Answer:
(12 x 12) - 44 = 100
Step-by-step explanation:
The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me
Answer:
2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.
Step-by-step explanation:
You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Answer:
B Exponential
Step-by-step explanation:
Hope this helps
The equation for the fruit fly population doubling every 3 hours would be exponential.
Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.
The general form of an exponential growth function is given by: y = a * b^x
Where:
- y is the final quantity or population size after x intervals of time.
- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).
- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).
- x is the number of intervals of time (in this case, the number of 3-hour periods).
In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.
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24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
someone help pls pls
Answer:
3.636 hour. dividing 200miles /55m/h =3.636h
Answer:
3 hours 38 minutes is what calculators online say
Step-by-step explanation:
You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know
write and solve the equation to find the number:
1: the sum of 4 and three times a number is 19
2: ten less the quotient of a number and 3 is 6
Answer:
whats the whole question
Step-by-step explanation:
To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)
Answer:
75m
Step-by-step explanation:
They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.
Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5
We want to know the side AT, so we can do that by multiplying DC for 5:
DC = 15 × 5 = 75m
You can also check this by applying Pythagoras' Theorem:
DB =
[tex] \sqrt{15^{2} + 2^{2} } [/tex]
Which equals 15.1 m
The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m
Finally, we can apply for the last time the Pythagoras' Theorem to find AT:
[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]
Which equals 74.8 = 75 m
What is the next term of the geometric sequence?
9/4,-4/3,4
Answer:
-12
Step-by-step explanation:
To find the ration, take the second term and divide by the first term
-4/3 ÷ 4/9
Copy dot flip
-4/3 * 9/4
-3
Multiply each term by -3
4*-3 =-12
hope it helps sorry if it doesn't
coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Simplify (45)-(+14). Pls guys explain it to me
Answer:
Answer: 31
Step-by-step explanation:
[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]
Answer:
31
Step-by-step explanation:
(45)-(+14)
This is asking us to take 45 [(45)] and subtract 14 [-(+14)]
That is 45 - 14 = 31
The expression "-(+14)" is a deliberate attempt to confuse. It says "subtract a positive 14." There was no need to add the "+" sign in the parentheses, since a positive value is always assumed. But it was added here to promote heartburn and the sale of TUMS. When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.
4 out of the 10 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Write your answer using a percent sign (%).
Answer:
40%
Step-by-step explanation:
Well, if 4/10 work part time, 4/10 converted to percentages is 40%.
Find the area of the given figure :
Answer:
formula for area is length × height
so we have 13+8 ×16+4
21×20 = 420m
Look at the question !
Which of the following correctly simplifies the expression
(3^2 X 5^0 /4) ^2
Select the correct answer from each drop-down menu.
Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
Answer:
Not Similar because they don't have equivalent angles.
Step-by-step explanation:
First one is D
Second one is A
The Triangle XYZ is Congruent to PQR by ASA congruence, the Triangle XYZ is Congruent to MNO by SSS congruence, the Triangle XYZ is Congruent to STU by SAS congruence
What is a Triangle?A triangle is a polygon with three sides, they are classified as acute angle triangle, right angle triangle, obtuse angle triangle on the basis of angles subtended by the vertices.
The triangles PQR, MNO, XYZ, STU can be seen in the figure
Triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
The Triangle XYZ is Congruent to PQR by ASA congruence
From the image
XY = PQ
∠YXZ= ∠QPR
∠YZX = ∠PQR
The Triangle XYZ is Congruent to MNO by SSS congruence
From the image
XY= MN
YZ=ON
ZX=OM
The Triangle XYZ is Congruent to STU by SAS congruence
XY = ST
∠YXZ=∠TSU
XZ= SU
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A. -5
B.-1/5
C.1/5
D.5
Answer:
b
Step-by-step explanation: