Answer:
Step-by-step explanation:
Assume that and multiply the equation by 4p. Then you obtain the equation (x-h)^2+4pk=0.
1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.
2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.
2) If k<0, then 4pk<0 and the equation has two different solutions and there are two zeros.
Answer:
Given equation:
[tex]\frac{1}{4p} (x - h)^2 + k = 0[/tex]Multiply this by 4p to get:
(x - h)² + 4pk = 0Rewrite this as:
(x - h)² = 4pk1) If p > 0 and k < 0
(x - h)² < 0, then no real solutions as left side is always positive2) If p > 0 and k = 0
(x - h)² = 0, then x = h, one solution = 1 zero3) If p > 0 and k > 0
(x - h)² > 0, then there 2 real solutions = 2 zeros:x = h ± 2[tex]\sqrt{pk}[/tex]The two figures are similar. Complete sentences
a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain
Answer:
a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4
Step-by-step explanation:
a) ABC ≅ A'B'C' (SSS)
b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -
6/24=12/48=15/60
The figures are getting bigger, so they are going through an enlargement.
c) To find the scale factor of like done above, we could put them into a ratio.
6/24=12/48=15/60
Which would result in the scale factor of 4.
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something
Abigail's decorating business charges a initial fee of $100 plus an additional $13.50
for every hour worked. How much would Abigail earn for 3 hours worked?
O $113.50
O $127.50
O $154.00
O $140.50
Answer: $140.50
Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.
How many different triangles can you make if you are given these two lengths for sides?
The number of triangles is an illustration of Triangle Inequalities theorem
There are infinitely many triangles that can be made given two side lengths
How to determine the number of triangles?The side lengths of two sides are given as 18 inches and 25 inches.
Assume the third side of the triangle is x
Using the Triangle Inequalities theorem, we have:
a+b > cb+c > a,c+a > bSo, we have:
x +18 > 25
x > 7
x + 25 > 18
x > -7.
18 + 25 > x
x < 43.
Ignore the negative value.
So, we have the solution set to be 7 < x < 43.
This means that the third side can take any value between 7 < x < 43.
Hence, there are infinitely many triangles.
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Find the surface area of the figure.
8 ft
19 ft
14 ft
12.1 ft
5 ft
Answer:
132.00
Step-by-step explanation:
The surface area of the composite figure is S = 706.4 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle
On simplifying , we get
2 ( area of trapezium ) = ( a + b ) x h
2 ( area of trapezium ) = ( 19 + 5 ) x 12.1
2 ( area of trapezium ) = 290.4 feet²
Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )
2 ( area of opposite rectangles ) = 224 feet²
Area of smaller rectangle = 5 x 8 = 40 feet²
Area of larger rectangle = 8 x 19 = 152 feet²
Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²
S = 706.4 feet²
Hence , the area of the figure is S = 706.4 feet²
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Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
[tex]f(x)=1/3(4-x)² what is the value of f(16)[/tex]
Answer:
wheneveryouseeanxonthe
rightputa16thatwhatf(16)
means.
f(16)=
3
1
(4−16)
2
f(16)=
3
1
(−12)
2
f(16)=
3
1
(144)
f(16)=48
[isyouranswer]
Step-by-step explanation:
mark me as brainliest.oky?
construct the linear equation for the table
Is it
A.)A=35,B=34
B.)A=28,B=34
C.)A=35,B=28
D.)A=34,B=28
Answer:
D. A=34, B=28
Step-by-step explanation:
In the bulletin points, it says that seconds 3-5 are decreasing. That means that those heights can't be higher than second 2 (34). The only option that works is option D.
----------------------
Option A is incorrect because it starts with 35ft which is higher than second 2(34) so that is automatically wrong.
Option B is incorrect because it is increasing instead of decreasing.
Option C is incorrect for the same reason as Option A: it starts with 35ft.
---------------------
Therefore, the only correct option is Option D.
Have a nice day!!
The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?
Answer:
6:07
Step-by-step explanation:
8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.
Find the probability that first marble picked is green and second marble picked is red.
Write your result as a percentage.
Answer:
20%
Step-by-step explanation:
3 green, 1 brown, 2 red
3 + 1 + 2 = 6
Total: 6
The probability of picking a green one is 3/6 or 1/2.
———————————————————————
2 green, 1 brown, 2 red
2 + 1 + 2 = 5
New total: 5
The probability of picking a red one is now 2/5.
———————————————————————
First, we multiply them by each other.
2/5 x 1/2 = 1/5
Next, we convert 1/5 to a percentage to get our final answer.
1/5 x 20 = 20/100, which is 20%.
So our final answer is 20%.
Personal Finance
Which of these statements is false?
All states have state income taxes.
Different states have different tax rates.
Some states consider some income to be tax free.
Some states tax all taxable income at the same rate; they have a flat tax rate.
Answer:
Some states consider some income to be tax free. this statement is false
it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?
sorry if I'm wrong
Can you guys help me I’m a big stuck on this one ?!
Answer:
the first one
Step-by-step explanation:
Volume of Cylinders and Prisms
Formula for finding cylinder:
π • r
This will find the area of the Base (B)
Then you multiply by the height given.
V= π• r • h
Just plug in the numbers
Formula for a rectangular prism:
Find the length • width
This is the area or base area (B)
Then multiply by the h
V= l•w•h
Hope this helps
Is -2 x 4 positive or negative? please help i have 19 missing assignments
Answer:
-8
Step-by-step explanation:
a negative number multiplied by a positive one gives as a result a negative number
-2 x 4 = -8
What is the measure of the missing angle
Answer:
dont you just subtract 90-61 to get 29 since a triangle is 90 degrees
Write the quotient as a mixed number. 99 ÷ 5 = 19 R4
PLEASE HELP :(
Answer:
19 4/5Step-by-step explanation:
99 = 5*19 + 499/5 = 19 + 4/599/5 = 19 4/5Answer:
Solution given
99/5=19 4/5 is your quotient in mixed number.
Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
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I need help, please!!!!!!!!!!!!
Answer:
Its d!!!!!! Welcome!
Step-by-step explanation:
Calculate the value of b.
(b-15)
3b°
(2b + 45°
Diagram not drawn accurately
Answer:
b = 30
Step-by-step explanation:
The sum of the 2 angles above the line will equal the angle below the line
3b + b - 15 = 2b + 45
4b - 15 = 2b + 45 ( subtract 2b from both sides )
2b - 15 = 45 ( add 15 to both sides )
2b = 60 ( divide both sides by 2 )
b = 30
what expressions from the table are equivalent to that expression ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The applicable rules of exponents are ...
[tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]
Marty has read 32% of his 400-page library book. How many pages has Marty read?
Answer:
128 pages
Step-by-step explanation:
[tex]0.32*400[/tex]
[tex]=128[/tex]
In total, Marty had read 128 pages of his book.
A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2
Answer:
8/2
eight halves
Step-by-step explanation:
please mark this answer as brainliest
Identify the equation of the circle B that passes through (5,1) and has center (3,0).
Answer:
Are you saying look for the slope? because if so can help
Step-by-step explanation:
Answer: (x − 3)2 + y2 = 5
a. (x + 3)2 + y2 = 5
b. (x − 3)2 + y2 = 25
c. (x − 3)2 + y2 = 5
d. (x + 5)2 + ( y + 1)2 = 25
Step-by-step explanation:
Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.
r= √(x2 − x1)2 + (y2 − y1)2
Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.
r= √( 5− 3)2 + (1 − 0)2
= √22 + 12
= √4 + 1
= √5
So, the length of the radius is √5 units.
The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.
(x − 3)2 +(y − 0)2 = (√5)2
Simplify.
(x − 3)2 + y2 = 5 Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.
Find the surface area of the cube and show your work please : )
Answer:
150 cm.
Step-by-step explanation:
There 6 squares in a cube.
**SQUARES HAVE EQUAL SIDES.**
To find the area of an individual square, multiply the side length by itself twice. (x^2)
The side lengths of the squares are 5.
5 x 5 = 25.
25 is the area of each individual square.
Since there are 6 squares in total, multiply 25 by 6.
25 x 6 = 150.
Therefore, 150 cm is the surface area of the cube.
Liz flips a coin 30 times. Coin lands heads up 12 times and tails of 18 times. Each statement.
Answer:
Step-by-step explanation:
Its 50% for the first one
If i have 23 liters in a bucket and i pour it into 4 smaller buckets, how many liters will each bucket have?? PLS HELP
I will mark the brainiest!
Answer:
B: 375 ft^2
Step-by-step explanation:
20 x 15 + 10 x 15/2 = 375
If LADC measures 61°, what does ZABC measure?
А
С
B
D
Answer:
122
Step-by-step explanation:
61 x 2 = 122
CAN YHU MARK ME BRAINLISTThe measurement of angle ABC is 122°.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,(h, k) is the center of a circle, "r" is the radius of the circle.
Given, a figure of the circle that gives the center of the circle is B.
Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.
Since both angles, ∠ABC and ∠ADC are made by the same arc AC.
Thus,
The angle made on the center = 2 * the angle made on the circumference,
The angle made on centre = 2 * 61
The angle made on center = 122°
Therefore, The measurement of angle ABC is 122°.
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