Answer:
center: (4,1/2)
radius: .5
Step-by-step explanation:
Group the x and y variables and move the constant (16) to the other side
(x²-8x)+(y²-y)= -16
We need to do something called "completing the square" we do this by taking the b term, dividing it by two and then squaring it
so for (x²-8x) we would take (8/2)² and then add that to both sides we have
(x²-8x+16)+(y²-y+.25)= -16+16+.25
next, we need to factor the x and y groups
(x-4)²+(y-.5)²= .25
Now that we have our equation we can easily find the center and radius
the center is just the constant's sign flipped or (4,.5) and the radius is the square root of the constant on the other side or √.25= .5
What was Ahmed's first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared.
Answer:
Step 2
Step-by-step explanation:
To find the area you do pi x r^2.
He did 2 x pi x r which finds the circumference,
write an absolute value equation that has one solution of 17
Answer:
|x| - 17 = 0
Step-by-step explanation:
15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website
Answer:
16 ft
Step-by-step explanation:
height of pyramid = (3×512)/(½×24×8)
= 1536/96
= 16 ft
how do i do this pls help
Answer:
a ) JKM=
90+25+JKM=180°(sum of angle of triangle)JKM=180-115JKM=65°b) NJM
37+NJM=90° {given in figure}NJM=90-37NJM=53°c). JNM
53+25+JNM=180°(sum of angle of triangle)JNM=180-78JNM=102°stay safe healthy and happy....need help to pass please
Answer:
x=1
Step-by-step explanation:
a(a+b)=c(c+d)
4(6x+4)=5(3x+5)
24x+16=15x+25
9x=9
x=1
on a venn diagram shade the region
a'n(bnc)
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021
Answer:
angle m1 = 14 degrees
Step-by-step explanation:
angle ABD = 70 deg
angle m1 + angle m2 = 70 deg
angle m2 = 4 * angle m1
angle m1 + (4 * angle m1) = 70 deg
5 * angle m1 = 70 deg
angle m1 = 14 deg
Ariel uses 7/8 of a cup of vinegar in her salad dressing recipe. How much vinegar would Ariel use to make 1/2 of a recipe? show calculation and final answer.
Which is a factor of 45x^4−5x^2? Show work.
a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1
Answer:
d. 3x - 1.
Step-by-step explanation:
45x^4−5x^2
The GCF is 5x^2 so we have:
5x^2(9x^2 - 1)
The expression in the parentheses is the difference of 2 squares so:
= 5x^2(3x - 1)(3x + 1)
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
A rectangular portrait is 5 feet wide and 6 feet high. It costs $4.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answer:
The frame would cost $88
Step-by-step explanation:
The problem is asking for the perimeter basically. The formula to find the perimeter is P = 2l + 2w. So plug in 5 where there is a 'w' and plug in 6 where there is a 'l'.
22= 10+12
Now that you have the perimeter, you'll have to find the cost of the frame. Just multiply 22 by the 4 dollars to get your answer.
I’ll give BRAINLIEST. Create an inequalities system where one of the equations have “-x” as a slope. The other could be anything of your choosing.
What triangles can you make out of a rhombus
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
What number divided by −3 gives 12 as the result?
Answer:
-36
Step-by-step explanation:
-3 ×12=--36
PLEASE HELP I NEED THIS ASAP
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
Put Them in The box They Go in
Answer:
[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]
PLEASE HELP GIVING 70 POINTS NEED THIS BEFORE 2:30
Answer:
(-4,2)
Step-by-step explanation:
A reflection means you flip the graph up, then the point goes to (-4,2).
If this helps please mark as brainiest would really appreciate it
Answer:
4,2
Step-by-step explanation:
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
hey! i’ll give brainliest please help.
Answer:
I think Darius I is the correct answer.
Which best explains how to find the volume of a prism?
Find the height of the base and multiply it by the length.
Find the width of the base and multiply it by the height.
Find the area of the base and multiply it by the height.
Find the area of the lateral sides and multiply it by the height of the base.
Answer:
Find the area of the base and multiply it by the height
Step-by-step explanation:
Volume Rectangular Prism = L x W x H
L x W = Area base
So it is Area of base x height
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The campus cafeteria gives a 20% discount to students.If the group's dinner regulary cost $36 , how much would a group of students acutally pay for dinner?
Answer:
If they buy the dinner at $36 with 20% discount, they will pay 28.8 dollars.
Write [tex]cot^{2} x (1+tan^{2} x)[/tex] Then simplify the expression so no quotients appear
Step-by-step explanation:
[tex] { \cot^{2}x}(1 + \tan^{2}x) \\ = \frac{1}{ \tan^{2}x} (1 + \tan^{2}x)[/tex]
[tex] = \frac{1}{ \tan^{2}x } + 1[/tex]
[tex] = \frac{ \cos^{2} x }{ \sin^{2}x } + 1 = \frac{ \cos^{2}x + \sin^{2}x}{ \sin^{2} x } [/tex]
[tex] = \frac{1}{ \sin^{2}x } = \csc^{2} x[/tex]
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
2 8 −10−15÷3=2, start superscript, 8, end superscript, minus, 10, minus, 15, divided by, 3, equals
Answer:
241
Step-by-step explanation:
Given the equation to evaluate :
2^8 −10−15÷3
2^8 = 256
256 - 10 - 15 ÷ 3
From BODMAS principle, we evaluate the divison before subtraction :
-15 ÷ 3 = - 5
256 - 10 -5
256 - 15
= 241
i just found out i got a 361 on my math test and i need a 400 to pass lol
so um can anyone tell me my percentage
did i get a 60 or something
Answer:
361 out of 400 is 90.25%
Step-by-step explanation:
What does the mean, median, mode mean?
Step-by-step explanation:
Mean= add all of the terms together and divide by the amount of terms
median= put all the terms in order and the middle number is the median
mode= the value the appears the most frequently
2a+b if a=2 b=4 explain it