The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.
What is the equation of the parabola?
The equation can be written as
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix.
Here, We have the upward parabola;
Focus at (9,27)
P/2 = 27-19 = 8 Nature of focus
P = 16
so (x-9)^2 = 2py = 32y
y = 1/32(x-9)^2 + 19
The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.
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help me out plz thankyou
Answer: The Last Option. It is very simple.
Answer: D
Explanation:
Overdraft is when you take out more money in your account than your account has.
Choose the right one.
Answer:
Skewed Right
Step-by-step explanation:
Took the test
Answer:
C
Step-by-step explanation:
Someone please help! I’ll give brainliest
Answer:
1520.53
Step-by-step explanation:
Formula for figuring out volume is
Pi*r^2*height=volume
3.14*5.5^2*16
1520.53
Hope this helps :)
Approximately how many cubic centimeters of water can each cup hold?
301 cubic centimeters
201 cubic centimeters
226 cubic centimeters
75 cubic centimeters
Answer:
75
Step-by-step explanation:
Can you pls help me with this
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form of an equation: y =mx +bHere m is the slope and b is the y-intercept.
Choose any two points on the line.
(2,0) ; (0,-2)
Now, find the slope.
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]
m = 1.
Now, y = 1x + b
The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.
0 = 1*2 + b
0 = 2 + b
-2 = b
Equation of line:
y = x - 2
How many solutions does the system in the image shown
A:one solution
B:zero solutions
C:infinitely many solutions
Answer:
c
Step-by-step explanation:
help im no good at this
Answer:
8.2 × 10⁻³
Step-by-step explanation:
1.64 × 10⁰ 1.64 × 1 1.64
-------------- = -------------- = ---------- = 0.0082
2.0 × 10² 2 × 100 200
Scientific notation: 8.2 × 10⁻³
I hope this helps!
Express (0.0425 + 25) as a fraction
Answer:
54 is the correct answer
consider the line -7x-2y=6
find the equation of the line that is parallel to this line and passes through the point (-2,-6)
find the equation of the line that is perpendicular to this line and passes through the point (-2.-6)
The equations are;
a) y = -7/2x - 13
b) -2/7x - 46/7
What is the equation of the line?We know that the equation of the line that we have here can be written in the general form as the equation that is given as; y = mx + c
We have that
m = slope of the line
c = intercept of the line
As such, we have;
-7x-2y=6 or y = 6 + 7x/-2
or
y = -3 - 7x/2
For the parallel line m = - 7/2
y - (-6) = -7/2(x - (-2))
y + 6 = -7/2x - 7
y = -7/2x - 13
For the perpendicular line m = - 2/7
y - (-6) = -2/7(x - (-2))
y + 6 = -2/7x - 4/7
y = -2/7x - 46/7
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Help
There were 16 bald eagles in an
area. Some years later, there
were 28 bald eagles in the area.
What is the percent gain?
[? ]%
Answer:
75%
Step-by-step explanation:
16 increases by 75 percent in order to reach 28.
Help with math question please
Stella is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area. 75, 8, 12, 12, 4 1. 11 2. 13 3. 21 4. 4
Answer:
768 square inches
Step-by-step explanation:
Area of the rectangle = length × width
Length = 75 in
Width = 12 in
Area of the rectangle = length × width
= 75 in x 8 in
= 600 in²
Area of the square = length ²
Length = 12 in
Area of the square = length ²
= 12 in²
= 12 in × 12 in
= 144 in²
Area of a triangle = 1/2bh
b = base = 12 in
h = height = 4 in
Area of a triangle = 1/2bh
= 1/2 * 12 in * 4 in
= (1*12*4)in² / 2
= 48 in² / 2
= 24 in²
Total area of the painted part of the street sign = Area of the rectangle + Area of the square + Area of a triangle
= 600 in² + 144 in² + 24 in²
= 768 in²
Target offers a discount if you spend at least $50. Write an inequality to represent d, how much you must spend to receive the discount.
Answer:
d ≥ 50
Step-by-step explanation:
To receive the discount, you must spend at least $50, which can be represented by the inequality d ≥ 50. This inequality means that the amount you must spend (d) is greater than or equal to $50. If you spend more than $50, you will receive the discount. If you spend less than $50, you will not receive the discount.
Question is in the photo below
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
A. 24
Step-by-step explanation:
The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.
In other words, ∠1 is 104 minus 56, divided by 2.
[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]
assuming all parabolas are of the form y = ax^2 + bx + c drag and drop the graphs to match the appropriate a-value
Answer:
A parabola has the form:
y = a*x^2 + b*x + c
Where a is the leading coefficient.
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)
if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.
With this, we can conclude that:
a = -4
is the largest value of a in absolute value.
Then this corresponds to the thinner parabola (the one at the left)
a = -1
Is the middle value of a, then this corresponds to the graph of the middle
a = -0.25
Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)
Jaimie ran 3 1/2 on Monday. She ran half
as far on Tuesday as she did on Monday. How
far did Jaimie run in all on Monday and
Tuesday?
Answer: So Jamie ran 3 1/2 miles on Monday and half that distance on Tuesday. We need to know how far she ran "in all" which are key words for "addition".
We need to add 3 1/2 + (1/2)(3 1/2)
It's probably easiest to do this by converting to an improper fraction.
So let's convert:
3 1/2 is the same as 7/2. now we can rewrite the problem:
7/2 + (1/2)(7/2)
= 7/2 + 7/4 . Now we need a common denominator:
7/2 = 14/4
Now we have 14/4 + 7/4 = 21/4. Now we should convert to a mixed number.
21/4 = 5 1/4
So Jamie ran 5 1/4 miles in all.
Step-by-step explanation:
Answer:
5.25 or 5 1/4 (Whichever you prefer)
Step-by-step explanation:
To make it simpler, we will convert 3 1/2 to decimal format.
First, take 3 and multiply it by the denominator 2 of 1/2, then add that number to the numerator of 1/2
3 x 2=6 -> 6+1=7
now add the denominator 2 under 7 and we now have 7/2, the equivalent to the mixed number 3 1/2
Afterward, to get the decimal, divide the numerator by the denominator:
7 divided by 2= 3.5
Now halve 3.5 to get the number Jaimie ran on Tuesday -> 1.75
Then add both 3.5 (3 1/2) and 1.75 (1 3/4), to get 5.25 or 5 1/4, which is your answer.
Bree described a yardstick as a length of wood that starts at 0 and continues onto 36 inches. Which geometric term best describes Bree's description of a yardstick
Answer:
The geometric term best described is a line.
Step-by-step explanation:
Given - Bree described a yardstick as a length of wood that starts at 0 and continues onto 36 inches.
To find - Which geometric term best describes Bree's description of a yardstick
Solution -
The geometric term best described is a line.
PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NO LINKS OR FILES OR I'LL REPORT
I CAN GIVE BRAINLIEST
Which of the following lists is in order from least to greatest?
3 × 10 -2, 4 -1, , |-2|
|-2|, 4 -1, , 3 × 10 -2
, 3 × 10 -2, |-2|, 4 -1
4 -1, 3 × 10 -2, |-2|,
Answer: Order from Least to Greatest
-1/8 < 0.33 < 3/8 < 75% < 1 5/8
Step-by-step explanation:
To compare and order fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that we can compare. We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
Answer:
a
Step-by-step explanation:
hi this is the kid u talked to during aprill and may about that game little alchemy.
The triangle ACE, is a dilation image of triangle ABD. Point A is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. The length of side AC is 15.
Answer:
Enlargment and 5/4
Step-by-step explanation:
will give 25 points and brainliestto first answer
Answer:
[tex]{\boxed{\boxed{\tt { TYSM!!}}}} \ [/tex]
Answer:
Step-by-step explanation: hi
Jo ha three metal block. The weight of each block i the ame. When he weighed one block againt 8 gram, thi i what happened
The block weighed 8 grams. The other two blocks average have weighed the same amount as the first block, so they also weighed 8 grams each.
1. Joe has three metal blocks.
2. The weight of each block is the same.
3. Joe weighed one of the blocks against 8 grams.
4. The block weighed 8 grams.
5. The other two blocks must have weighed the same amount as the first block, so they also weighed 8 grams each.
Joe had three metal blocks that all weighed the same. He weighed one of the blocks against 8 grams, and it weighed exactly 8 grams. This meant that the other two blocks must also have weighed 8 grams each, since the weight of all three was the same. Joe was able to determine the weight of all three blocks with just one measurement.
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EX 2
QUAD ABCD is a rectangle with
diagonals that intersect at point P.
AC = 4x-13 and DP = x + 7. Find the
value of 'x'.
QUAD ABCD is a rectangular shape whose diagonals meet at point P. AC is 4x-13 and DP is x + 7.
Can you show that the quadrilateral ABCD is a parallelogram given the provided information?When one set of opposing sides in a quadrilateral are congruent and parallel, the quadrilateral is a parallelogram. ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another.
In QUAD ABCD, DP equals x + 7 and AC is 4x-13.
4x - 13 is x + 7 + x + 7
4x - 13 = 2x+14
2x-13 = 14.
hence,
The value of x is 13.5.
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Work out the size of angle x
Answer:
x = 13
Step-by-step explanation:
There is more than one 98-degree angle since they are all corresponding interior angles.
The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees
In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.
Hence, the angles inside the triangle are: x, 85, and 82
x + 85 + 82 = 180 ==> Triangles add up to 180 degrees
x + 167 = 180 ==> simplify
x = 13 degrees ==> subtract 167 on both sides
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A solid right prism $ABCDEF$ has a height of $16,$ as shown. Also, its bases are equilateral triangles with side length $12.$ Points $X,$ $Y,$ and $Z$ are the midpoints of edges $AC,$ $BC,$ and $DC,$ respectively. A part of the prism above is sliced off with a straight cut through points $X,$ $Y,$ and $Z.$ Determine the surface area of solid $CXYZ,$ the part that was sliced off.
A solid right prism ABCDEF has a height of 16. A part of the prism is sliced off with a straight cut through points X, Y, and Z. CXYZ is a triangular pyramid and its surface area is 48 + 9√3 + 3√91 or 92.2
The situation can be depicted in the attached picture. CXYZ is a triangular pyramid.
The surface area of CXYZ is equal to:
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
ΔABC and ΔCXY are congruent, hence ΔCXY is a equilateral triangles with its sides are 1/2 those of ΔABC.
CX = CY = XY = 1/2 x 12 = 6
To find the area of ΔCXY, find its height first.
√3/2 = h/6
h = 3√3
Area ΔCXY = 1/2 x 3√3 x 6 = 9√3
ΔCXZ is a right triangle at C. Hence,
Area ΔCXZ = 1/2 x CX x CZ
= 1/2 x 6 x 8 = 24
ΔCYZ = ΔCXZ
Hence,
Area ΔCYZ = 24
To find the area of ΔXYZ, find XZ first using the Pythagorean Theorem.
XZ² = CX² + XZ² (XZ = 8, since Z is midpoint of CD)
XZ² = 6² + 8²
XZ² = 10²
XZ = 10
Find the height of ΔXYZ
h = √(10² - 3² )
h = √91
Therefore,
Area ΔXYZ = 1/2 x XY x h
= 1/2 x 6 x √91 =3√91
Finally,
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
= 9√3 + 24 + 24 + 3√91
= 48 + 9√3 + 3√91
= 92.2
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There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
What type of visual display could be used to compare the two data sets?
Answer:
Box - and - whisker and scatter plots
Step-by-step explanation:
A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
What is scatter plot ?
Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.
Scatter plot shows the relationships between variables are visualized using scatter plots.
From the given data, it is observed that the given data is observed in the scatter plot.
The given data can highlight the distribution patterns or demonstrate and compare the two data sets.
Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
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what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?
Answer:
Step-by-step explanation:
Given Line equation is 4x+3y=12 and point (3,4)
Given condition two line are parallel
Parallel means two straight lines having same slope.
From the above condition we can use "point-slope" equation.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
From the given line equation we can find slope easily.
We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]
We can compare the above equation as y=mx+b
slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.
Becareful while submit point in the slope point equation.
Note:(Many students do mistakes while submitting point.
[tex]y-4=-\frac{4}{3}(x-3)[/tex]
solve and get the answer
Equation of line is 4x+3y=24
Mitchell made a scale drawing of a house. A rug in the hallway is 5 inches wide in the drawing. The actual rug is 3 feet wide. What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Answer:
Step-by-step explanation:
a.Scale factor = distance on the plot / actual distance
b.3 feet = 12 inchs.
so scale factor = 5/12
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. What is the slope of the line?
The slope of the line on the given coordinate plane is equal to 1.
How to calculate the slope of a line?In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the graph, we have the following data points on the line:
Points on x-axis = (-1, 0).
Points on y-axis = (0, 1).
Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (1 - 0)/(0 - (-1))
Slope, m = 1/(0 + 1)
Slope, m = 1/1
Slope, m = 1
In conclusion, we can logically deduce that the slope of this line is equal to 1.
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ILL BRAINLIEST YOU PLEASE HELP ME
i don't know the answer to this question, but i can give you an example that way you can find your own answer!
possible answers for the example question:
65∘
115∘
35∘
75∘
85∘
To find the measure of angle DAC, we must know that the interior angles of all triangles sum up to 180 degrees. Also, as this is an isosceles trapezoid, ∠ADC and ∠BCD are equal to each other. The two diagonals within the trapezoid bisect angles ∠ADC and ∠BCD at the same angle.
Thus, ∠ACD must also be equal to 50 degrees.
Thus, ∠ADC=50+15=65.
Now that we know two angles out of the three in the triangle on the left, we can subtract them from 180 degrees to find ∠DAC:
180−65−50=65
the correct answer for the example question is 65 degrees
HELP DUE IN 15 MINS!
Find the measures of the numbered angles in the parallelogram.
m∠1 =?? degrees
° m∠2 =?? degrees
° m∠3 =?? degrees
Answer:
m∠1 = 25° (opposite angles are congruent)
m∠2 = 87° ⇒ 180 - (25 + 68)
m∠3 = 68° ⇒ 180 - (87 + 25)
Hope this helps!