Answer:
B 1296
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height
3 sides are rectangles with the measurements of (9mm by 21mm)
So 3(9 × 21) = 567mm^2
6 sides are rectangles with the measurements of (9mm by 9mm)
So 6(9 × 9) = 486mm^2
1 side is a rectangle with the measurements of (9mm by 15mm)
So (9 × 15) = 135mm^2
2 sides are triangles with unknown, but equal bases.
To calculate the base, you subtract 9 from 21: 21 - 9 = 12mm
Therefore the base = 12mm
The other measurement can be found by looking to the left of the triangle (9mm from the side)
So 2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2
Add the sides up:
567 + 486 + 135 + 108 = 1296 mm^2
What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??
Answer:
y = 5/3x - 4
Step-by-step explanation:
(6, 6)
m = 5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 6)
y - 6 = 5/3x - 10
y = 5/3x - 10 + 6
y = 5/3x - 4
PLEASE SOMEONE HELP ME WITH THIS. NO LIN.KS!!!!!
Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation too
Answer:
Whatever he just answered
Step-by-step explanation:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation too
Guys I need help on this please
Answer:
The correct answer should be the first option.
Step-by-step explanation:
Answer:
First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞
Step-by-step explanation:
I graphed this function
Domain: x ∈ R
Range: y ∈ [-5, + ∞
Minimum (1, -5)
Verticle intercept (0, -4)
7. Which expresses the calculation add 7 to b?
A b +7
B - 7
© 7b
D 6+7
Answer:
b =7
Step-by-step explanation:
PLZ HELP ME GUYS PLZ
Answer:
y=2x+3
x=(-1)
y=-5x+6
x=1
Step-by-step explanation:
Just find x in the equation
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.
Answer:
right
Step-by-step explanation:
s
a
k
+
1
=
a
k
+
2
and
a
1
=
6
a
2
=
a
1
+
2
=
6
+
2
=
8
a
3
=
a
2
+
2
=
8
+
2
=
10
a
4
=
a
3
+
2
=
10
+
2
=
12
and
a
5
=
a
4
+
2
=
12
+
2
=
14
and hence first five terms are
{
6
,
8
,
10
,
12
,
14
}
As
a
k
+
1
=
a
k
+
2
, each term is
2
more than previous term
it is an arithmetic sequence with first term as
a
1
and common difference
d
and hence
n
t
h
term is
a
n
=
a
1
+
(
n
−
1
)
d
and hence
n
t
h
term of the sequence is
a
n
=
6
+
(
n
−
1
)
×
2
=
6
+
2
n
−
2
=
2
n
+
4
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?
Answer:
The expected payoff for Ann is that she loses the game
Step-by-step explanation:
The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.
which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0
Answer:
answer in the file
Step-by-step explanation:
graph g(x)=− 51 (x+5) ^2 − 2
Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
Please help I need to finish this
Answer:
216 cm cubed
Step-by-step explanation:
Please help! Solve the following system by substitution:
Answer:
C.
Step-by-step explanation:
C= 5 and D= -2.
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.
99% of 71.6 is what?
Answer: 70.884
Step-by-step explanation:
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
PLEADE HELP I WILL MARK YOU AS BRAINEIST
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83
Answer:
83
Step-by-step explanation:
(3a+8)+(60-a)+(4a-38)=180
combine like terms, 6a+30=180
inverse operation to isolate the variable, 6a=150
divide six on both sides, a=25
replace a in every expression, 3(25)+8=83
60-25=35
4(25)-38=62
83 is biggest out of the three, therefore 83 is the answer.
PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:
A)
2(9x + 4) = 86 – 12x – 18
B)
–2(9x + 4) = 12x + 18 – 86
C)
x = 2
D)
86 – 18x – 8 = 12x + 18
Answer:
D
Step-by-step explanation:
Answer: D) 86 - 18x - 8 = 12x + 18
What is the equation of the circle?
Answer:
x² + y² = 3
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
Using Pythagoras' identity in right triangle CRT
CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )
CR = r = [tex]\sqrt{3}[/tex] , then
x² + y² = ([tex]\sqrt{3}[/tex] )² , that is
x² + y² = 3
PLEASE HELP ASAP
Find the surface area and the volume of the prism.
Answer:
Surface Area: 1320
Volume: 2160
Step-by-step explanation:
Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]
where c is the hypotenuse, 26.
Substituting the values into the equation you get:
10^2 + b^2 = 26^2
100 +b^2 = 676
Subtract 100 from both sides.
b^2 = 576
b = 24
Now that we have the missing side, we can calculate the rest of the question.
Surface Area = 2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24) +(18 × 10)
240 + 468 + 432 + 180 = 1320 unit^2
Volume = [tex]\frac{1}2[/tex] × base × height × length
[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2
Brainliest if you don't mind ;)
Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)
Answer:
(x−2)^2=16(y+1)
Step-by-step explanation:
The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The vertex of the parabola = (2, -1)
The focus of the parabola = (2, 3)
As we know, the vertex form of the parabola is given by:
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
(x - 2)² = 4a(y - (-1))
(x - 2)² = 4a(y + 1)
The value of a can be found using the formula:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
(c, d) = (2, 3)
a = √[(2-2)² + (3-(-1))²]
a = √ (3+1)²]
a = 4
(x - 2)² = 4(4)(y + 1)
(x - 2)² = 16(y + 1)
Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?
Answer:
16units
Step-by-step explanation:
Given data
The expression for the volume of a cone is given as
v=1/3πr^2h
v= 3π
r= 12
h=???
Substitute
3π= 1/3*π*12^2*h
3= 1/3*144*h
3= 144h/3
cross multiply
3*3= 144h
9= 144h
h= 144/9
h=16 units
Hence the heeight is 16units
Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro
Answer:
its 44
Step-by-step explanation:
because IRS 444 j utf d funk nhc ddh
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
What is the difference in length between
Answer: 7/8
Step-by-step explanation:
1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8
pls helppp! tysmmmm!!
Does anyone know the answer to this help fast!
Up to 12 people, p, can ride in the van.
Answer:
12 people can fit so the van had enough sests
hey came you help me fast!!!
Answer:
A
Step-by-step explanation:
3 + (-7) + 2/5 + (-1/5)
Complete the table of values for y = 0.5x + 1
can you help?
hope the answer can help you.
Answer:
x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2
HELP plsss if I don’t answer this I can’t go to lunch