Answer:
84 cm²Step-by-step explanation:
Total surface consists of 2 right triangles and 3 rectangles.
Sum of their areas is the total surface area.
Area of 2 triangles:
A = 2*(1/2)*4*3 = 12 cm²Area of 3 rectangles:
A = 6*(3 + 4 + 5) = 6*12 = 72 cm²Total surface area:
S = 12 + 72 = 84 cm²(2x+1)(3x+1)=35 using quandratic equation solve
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
write a linear function f with given values.
Answer:
given slope of 2 and a y intercept of 0
f(x) = 2x
What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1
[tex] \: \: \: \: [/tex]
[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]
refer to the attachmenthope it helpsThe length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
What is an ellipse?
The standard form of the ellipse is defined as;
x² / a² + y² / b² = 1
Where, a < b
Minor axis of the ellipse = 2a
And, Major axis of the ellipse = 2b
Given that;
The equation of the ellipse is,
(x−3)² / 18 + (y+4)² /32 = 1
Now,
We can compare with the standards form of an equation of ellipse, we get;
a² = 18
a = √18
And, b² = 32
b = √32
Clearly, √18 < √32
That is; a < b
So, The minor axis of the ellipse = 2a
= 2√18
And, The major axis of the ellipse = 2b
= 2√32
Therefore,
The length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
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Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8).
Answer:
y=-5/2x+2
y+3= -5/2. (x-2)
Step-by-step explanation:
Answer:
y=-5/2x+2
Step-by-step explanation:
y=mx+b, where m is slope, b is y-int and y and x are variables.
Step 1: plot your points
Step 2: draw a line thru them
Step 3: find the slope. -5/2. And your y-int. +2
Hope that helps! Brainliest is appreciated :)
whats the rate of change
Please help y=30x - 30x^2 - 72
Answer:
a. 4, 6
b. -72
c. (5, 3)
d. Graph A
Step-by-step explanation:
a.To answer these questions, it is useful to start by factoring the equation.
y = -3x² +30x -72 . . . . given
y = -3(x² -10x +24) . . . . factor out leading coefficient
y = -3(x -4)(x -6)
The x-intercepts are the values of x that make the factors zero:
x = 4, 6
__
b.The y-intercept is the constant in the equation: -72.
__
c.We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.
y = -3(5 -4)(5 -6) = -3(1)(-1) = 3
The vertex is (5, 3).
__
d.The graph that has the correct vertex and x-intercepts is Graph A.
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.
Answer:
steps below
Step-by-step explanation:
h = 5t² + 8t + 3
5t² + 8t + (3-h) = 0
** ax²+bx+c=0 x= (-b±√b²-4ac)/2a
[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex] ..... h≥3 to make t≥0
what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?
Answer:
y+4=-5/6(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-5/6(x-8)
y+4=-5/6(x-8)
Please mark me as Brainliest if you're satisfied with the answer.
Find P(Y|B) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 8, 6, 23, 37. The third column is labeled Y with entries 80, 34, 56, 170. The fourth column is labeled Z with entries 40, 45, 32, 117. The fifth column is labeled Total with entries 128, 85, 111, 324. To the nearest tenth, what is the value of P(Y|B)? 0. 2 0. 3 0. 4 0. 5.
Answer:
0.4 is the answer
Step-by-step explanation:
Answer:graph A
Step-by-step explanation:
because I clicked the wrong one ♀️
given that 4 : 6 = 3 : (m+2), find m.
Answer:
Step-by-step explanation:
Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative
which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
3
Write 3
as an improper fraction.
4
Answer:
I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.
[tex]\huge\boxed{Hi\: there!}[/tex]
3 as an improper fraction: 3/1.
Remember, an improper fraction is a fraction where the numerator is larger than the denominator.
[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]
HELP!!!
list the sides of ABC in order from shortest to longest!
give answer to 1 d.p
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
Eight squared plus B squared equals 14 squared
[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]
What is the domain and range?
Answer:
Domain: {-6, -2, -1, 1, 3, 6}
Range: {-6, -2, -1, 0, 3}
Step-by-step explanation:
to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.
for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}
to find the range of a function, it's just like domain but with y-values.
for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}
-19x-17 = -93
Also when you solve it has to be with the addition property of equality
Answer:
Addition property of equality formula
Lesson Summary
We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.
Step-by-step explanation:
How much more did Taste of New York make from pepperoni pizzas than Pizzeria Italiano?
Step-by-step explanation:
422 - 115
= 307
The taste of new York made $307 more than pizzeria italiano
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
Mapping diagram: Is it a function? (yes /
no
) Why or why not?
Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.
8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?
Answer:
Step-by-step explanation:
Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of 444 visits. Here is how many candies each person took: 1, 2, 1, 41,2,1,41, comma, 2, comma, 1, comma, 4 Dwight found the mean was \bar x=2 x ˉ =2x, with, \bar, on top, equals, 2 candies. He thinks the standard deviation is s_x =\sqrt{\dfrac{(1-2)^2+(2-2)^2+(1-2)^2+(4-2)^2}{3}}s x = 3 (1−2) 2 +(2−2) 2 +(1−2) 2 +(4−2) 2 s, start subscript, x, end subscript, equals, square root of, start fraction, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 2, minus, 2, right parenthesis, squared, plus, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 4, minus, 2, right parenthesis, squared, divided by, 3, end fraction, end square root What is the error in Dwight's standard deviation calculation? Choose 1 answer: Choose 1 answer: (Choice A) A The order of subtraction is incorrect in each of the deviations. (Choice B) B He is missing a deviation in the numerator. (Choice C) C He should only take the square root of the numerator. (Choice D) D He shouldn't square each deviation in the numerator. (Choice E) E There is no error; his calculation is correct.
Answer: B
Step-by-step explanation:
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
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4. Evaluate the following expression for y= 8 and z= 3. (1 poin
(y-2)2 +2 N.
O 28
012
O2
0-4
ABCD is a parallelogram. What is the measure of ∠ACD?
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person
Answer:
[tex]1,325\geq 26x+270[/tex]
Step-by-step explanation:
HELP PLEASE!!
(It’s slope)
Answer:
Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!
Step-by-step explanation:
Im not good at explaining things without it sounding very confusing... sorry.