Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
wqhg
Step-by-step explanation:
its situated in u.s, in quahog , rhode island
Simplify the expression 4x-8-2-9x
Answer:
Step-by-step explanation:
4
Answer:
-5x-10
Step-by-step explanation:
first rearrange the expression:
4x-9x-8-2
next combine like terms
-5x-10
thats your answer! hope this helps! :)
Change 300mm into cm
Answer:
30 cm
Step-by-step explanation:
divide by 10
Answer:
300mm —> 30 cm
1mm= 0.1cm
I hope I helped you^_^
What is the value of the expression below when x = 5 and y = 2?
X + 6y
The value of the expression x + 6y when x = 5 and y = 2 is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x + 6y
When x = 5 and y = 2
= x + 6y
= 5 + 6 x 2
= 5 + 12
= 17
Thus,
The value is 17.
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20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
(D) There are [tex]5 \frac{1}{2}[/tex] three-fourths in [tex]4 \frac{1}{8}[/tex]
Step-by-step explanation:
We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.
So this becomes the division statement:
[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].
We can convert [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.
[tex]\frac{33}{8} \div \frac{3}{4}[/tex].
Multiply by the reciprocal:
[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]
Which simplifies down to
[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.
Hope this helped!
Answer:
D
Step-by-step explanation:
A factory costs $280,000. You forecast that it will produce cash inflows of $80,000 in year 1, $140,000 in year 2, and $220,000 in year 3. The discount rate is 12%. What is the value of the factory?
Answer:
=$339,627.36
Step-by-step explanation:
PV = FV/(1+R)^n
where
PV = Present Value
FV = Future Value
R = Rate
n = number of periods
PV
Year 1=$80,000
Year 2=$140,000
Year 3=$220,000
r=12%=0.12
Year 1:
PV=80,000 / (1+0.12)^1
=80,000 / 1.12
=$71,428.57
Year 2:
PV=140,000 / (1+0.12)^2
=140,000 / (1.12)^2
=140,000 / 1.2544
=$111,607.14
Year 3:
PV=220,000 / (1+0.12)^3
=220,000 / (1.12)^3
=220,000 / 1.404928
=$156,591.65
Value of the factory= 71,428.57 + 111,607.14 + 156,591.65
=$339,627.36
WILL MARK BRAINLIEST Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.
Answer:
third option
Step-by-step explanation:
∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then
∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus
Δ ABC ~ Δ FDE by the AA postulate
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values
[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )
x = z × [tex]\frac{w}{r}[/tex]
The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Since,
∠ E = 180° - (65 + 53)°
= 180° - 118° = 62°,
then
∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,
Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.
Since the triangles are similar then the ratios of corresponding sides are equal so,
BC / DF = AB / ED
Substitute;
x / r = w/ z ( multiply both sides by z )
x = r × w/z
Therefore, the correct option is 3.
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Write the equation of the line which passes
through the points (4,2) and (-3, 1)
Answer:
y = 1/3x + 4/7
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Formula: y = mx + b
Step 1: Find slope m
m = (1 - 2)/(-3 - 4)
m = -1/-7
m = 1/7
y = 1/7x + b
Step 2: Find y-intercept b
1 = 1/7(3) + b
1 = 3/7 + b
b = 4/7
Step 3: Write linear equation
y = 1/3x + 4/7
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Find the measure of KM¯¯¯¯¯¯¯¯¯¯.
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 7+x+2) * 7 = ( 6+8) * 6
Combine like terms
(9+x) *7 = 14*6
Distribute
63 +7x = 84
Subtract 63
63 +7x -63 = 84-63
7x =21
Divide by 7
7x/7 = 21/7
x = 3
KM = x+2+7
= 3+2+7
=12
Answer:
[tex]\huge\boxed{KM = 11}[/tex]
Step-by-step explanation:
According to secant - secant theorem:
(MK)(ML) = (MR)(MN)
Where
MK = 7 + x+ 2 = x + 9
ML = 7
MR = 8 + 6 = 14
MN = 6
=> (x+9)(7)= (14)(6)
=> 7x + 63 = 84
Subtracting both sides by 63
=> 7x = 84 - 63
=> 7x = 21
Dividing both sides by 7
=> x = 3
Now,
KM = x + 9
KM = 3 + 9
KM = 11
To solve this system of equations using substitution, what could be substituted in place of x in the second equation?
2y + x = 11
31 - y = -4
a. 2y – 11
b. 11 – 2y
c. 3x + 4
d. y - 4/3
Answer:
b 11-2y
Step-by-step explanation:
Solve for x: 2(3x + 4) - 3(x - 1) = x - 1
Answer:
x=-113
Step-by-step explanation:
2(3x+4)−3(x−1)=x−1x
Step 1: Simplify both sides of the equation.
2(3x+4)−3(x−1)=x−1x
(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)
6x+8+−3x+3=x+−x
(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)
3x+11=0
3x+11=0
Step 2: Subtract 11 from both sides.
3x+11−11=0−11
3x=−11
Step 3: Divide both sides by 3.
3x3=−113
x=−113
Answer:
x=−113
Will Give Brainliest, answer ASAP x=
y=
Answer:
x = 21.25 , y = 5
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
125 + 4x - 30 = 180
4x + 95 = 180 ( subtract 95 from both sides )
4x = 85 ( divide both sides by 4 )
x = 21.25
8y² = 125 ( divide both sides by 5 )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
What is the center of a circle with the equation (x - 6)2 + (y + 2)2 = 9?
A)
(6,2)
B)
(6,-2)
0)
(-6, 2)
D)
(-6, -2)
Answer:
B. (6,-2)
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2
The center of the circle is (h,k)
So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Defined term
Postulate
Theorem
Undefined term
James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.
The statement of james should be precise in order to clearly explain the angle formation.
The two non collinear rays will form an angle at end point where they meet with each other.
The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.
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1: The rays must have a common endpoint
2: Defined term
I took the test and got both right :))
Anyone help me please
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} [/tex]
Answer:
(6x^2)(x^4 +x^2 + 1)
Step-by-step explanation:
6x^6 + 6x^4 + 6x^2
split it up into parts
6x^6 = (6x^2) * x^4
6x^4 = (6x^2) * x^2
6x^2 = (6x^2) * 1
so you can take out 6x^2 to get
(6x^2)(x^4 +x^2 + 1)
Find the formula for the inverse function.f(x)=2/3-4x
Answer:
f exponent − 1 ( x ) = -X/4 + 1/ 6
Plz mark brainlyest
Step-by-step explanation:
A student finds the slope of the line between (8,17,) and (1,4) she writes 17-4/1-8 What mistake did she make?
The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)
slope = rise/run = numerator/denominator
So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"
However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4
left y - right y = 17 - 4
But then the student swaps the order when they wrote 1-8. Instead it should be 8-1
-----------------
Here's what they should have written (17-4)/(8-1)
This is the same as (4-17)/(1-8)
We can subtract in any order as long as it stays consistent between the numerator and denominator
x-1/(x+1)(x-5)
In 10 words or fewer, tell what value of x will make the above rational
expression equal to zero.
Answer:
x=1
Step-by-step explanation:
x-1/(x+1)(x-5)
When the numerator is equal to zero and the denominator is not equal to zero
x-1= 0
x=1
how 45 degree angles does it take to make a full turn?
PLSSSSSSSSSSSSSSS HELP
Answer:
8 turns
Step-by-step explanation:
If we want to take a full turn, we'd turn around 360° since we'd be in the same position.
If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.
[tex]360\div45=8[/tex]
Hope this helped!
Answer:
It will take 8 45 degree angles to make a full turn
Step-by-step explanation:
360 degrees is a full turn
360/45 =8
It will take 8 45 degree angles to make a full turn
2(2x-5y)(3x+4y)-6(2x-5y)(x-y) factorise by taking out the common factors
Answer:
Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...
Step-by-step explanation:
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
Myra wants to practice the piano for at least 22 minutes each day. Which of the following inequalities represents the number of minutes Myra will practice piano?
Answer:
[tex]x\geq 22[/tex]
Step-by-step explanation:
If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].
Hope this helped!
Which expressions are equivalent to 7×7×7×7×7×7 choose two answers:
Answer:
7^6 =A, C
Step-by-step explanation:
The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³ thus option (A) and (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
7×7×7×7×7×7 = 7⁶
Now, in option (A),
7⁸/7² = 7⁸ ⁻ ² = 7⁶
In option (C)
(7²)³ = 7² ˣ ³ = 7⁶
Hence "The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³".
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What is 12x-10y=-19 in slope intercept form?
Answer:
-10y=-12x-19
-y= -12x-19
10
y= 12x + 19
10
Step-by-step explanation:
form slope intercept its y=mx+b
so you find y what equal .
Please help!!!!!!!!!!!!!!!!
Answer:
TRUE
Step-by-step explanation:
The answer is TRUE.
Porfavor, necesito ayuda con estos ejercicios.
Lo siento, no hablo español pero utilicé Google Translate .
HAHAHAHAHA
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The two inequalities that show the solution to these equations are n ≥ 55 and y ≥ 6
Step-by-step explanation:
We are given two inequalities that we have to solve. We can solve these inequalities as if we are solving for the variable.
n/5 ≥ 11
Multiply by 5 on both sides.
n ≥ 55
Now, let's do the second one.
-3y ≤ -18
Divide by -3 on both sides. When we divide by a negative in inequalities, then the sign is going to flip to its other side. So, this sign (≤) becomes this sign (≥)
y ≥ 6
10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue.
Answer:
101
Step-by-step explanation:
Given the following :
Number of soldiers = 10201
They are queued such that the number of queues = number of soldiers in each queue
Let number of queues = q
Therefore, if number of queues equals number of soldiers per Q,
Then ;
q × q = 10201
q^2 = 10201
Take the square root of both sides
q = √10201
q = 101
Number of soldiers per queues = 101
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
Answer:
C (1,11) and (-1,-5)
Step-by-step explanation: