THE CORRECT ANSWER is 25 Cm³
Explanation:
Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.
Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³
Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.
Hence the volume of that block will be = 3×3×1 = 9 cm²
The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³
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) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form
Answer:
[tex]y= (x -4)^2 - 1[/tex]
[tex]Vertex = (4,-1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 6x+13[/tex]
Required
7 units left and 5 units down
First, we have: [7 units left]
The rule is:
[tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]
Next, we have: [5 units down]
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]
[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]
Rewrite as:
[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]
Expand
[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]
Collect like terms
[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]
[tex]y = x^2 -8x +15[/tex]
To write in vertex form, we have
Subtract 15 from both sides
[tex]y -15= x^2 -8x[/tex]
Divide (-8) by 2; Add the square to both sides
[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]
[tex]y -15+ 16= x^2 -8x + 16[/tex]
[tex]y +1= x^2 -8x + 16[/tex]
Expand
[tex]y +1= x^2 -4x - 4x + 16[/tex]
Factorize
[tex]y +1= x(x -4) -4(x - 4)[/tex]
Factor out x - 4
[tex]y +1= (x -4)(x - 4)[/tex]
Rewrite as:
[tex]y +1= (x -4)^2[/tex]
Make y the subject
[tex]y= (x -4)^2 - 1[/tex]
The vertex is:
[tex]Vertex = (4,-1)[/tex]
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) (3,-9)
Answer:
Equation to find the slope
[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]
y=-3x
hope that answers your question
Step-by-step explanation:
Answer: C. y = -3x
Step-by-step explanation:
Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.
Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.
1
1) Hannah wants the area of her dog's rectangular play area to be 300 square feet. If one side of
the rectangle needs to be 12 feet long, how long will the other sides be?
300 sq ft
22 ft
I need help
Answer:
#1Rectangle area:
A = lwGiven:
l = 12 ft, A = 300 ft²Find w:
12w = 300w = 300/12w = 25 ft#2Perimeter is the sum of side lengths:
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
#3Cost of a shirt = $19.99Number of shirts = 6Total cost:
$19.99*6 = $119.94WILL GIVE BRAINLIEST *NO LINKS*
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
(-0, -21)
(-00,-21]
[-21, +00)
(21, +00)
Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
If
y
=
9
, evaluate the following expression:
4
y
+
10
Answer: 46
Step-by-step explanation:
4(9)+10
36+10
46
Answer:
46
Step-by-step explanation:
4y + 10
4(9) + 10
36 + 10
46
Plz help me thank you
Answer:
There are 5 shifts per day
Step-by-step explanation:
7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5
7.5/1.5= 5
A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
It took _ $20 bills.
4. The Monster is a roller coaster that uses a design
similar to the Ravine Flyer II. The Monster reaches
a height of 120 feet, but then drops to -25 feet.
Order the highest and lowest points of the two
roller coasters from least to greatest.
Answer:
asasasdcvxcvszs
Step-by-step explanation:dsadsdasz
What is v29?
Place a dot on the number line at the best approximation.
2.
3
4
5
6
Answer:
Please read explanations
Step-by-step explanation:
By direct calculations, we know that the nearest perfect square to 29 is 25
The next is 36;
Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers
So, we can conclude that the square root is between 5 and 6
For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4
so, we have the dot at the next 4 small lines after the number 5
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find mZF
(b) Find AB
с
D
60°
4
60
100
60°
m 2F = 0
AB = 0
Continue
© 2021M
Answer:
40
4
Step-by-step explanation:
a.) because the sides are the same their angles must be too
let x be the angle
100+x+x=180
x=40
b.) because the angles are all the same their sides must be too
4
Find the value of Sin^-1(-√3/2)
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation:
Given the equation: y = 3 (2x - 1) Complete the table of values. y - 1 0 9
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
help what is the quadratic equation because I think I did it wrong
Answer:
Exact form:
[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]
Step-by-step explanation:
Take the root of both sides and solve.
help pls at least some °ω°
Answer:
12.5
14.4
37.1
57.6
45.9
71.1
77.4
70.4
60
59.4
47.6
34.2
48.3
67.5
75.6
Please assist me in the geometry please !!!!
Answer:
Solution given:
length of cube[a]=6ft
volume of cube =a³=6³=216ft³
again
For cylinder
d=4ft
r=2ft
h=6ft
volume of cylinder=πr²h=π×2²×6=75.4ft³
Now
remaining volume=216-75.4=140.6ft³
is a required answer.
What is -0.032 + 6.42 ?
Answer:
6.388
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
6.38800
Step-by-step explanation:
Is this a polygon or trapezoid? A. Yes B. No
Answer:
No
Step-by-step explanation:
Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides
Answer:
No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.
Which number is the numerator in the fraction 1/2
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
[tex]\frac{Numerator}{Denominator}[/tex]
Answer:
The numerator is 1.
Step-by-step explanation:
The numerator is the number above the fraction bar; the denominator is below.
[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]
list all the factors of 10
Answer: factors of 10 are 1, 2, 5, and 10.
Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.
Answer:
1,2,5,10
Step-by-step explanation:
1 x 10 = 10
2 x 5 = 10
10 x 1 = 10
Consider the figure below.
Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?
A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD
Answer:
A: FG = ½GC
Step-by-step explanation:
Since AD, BC and CD are medians concurrent at G, it means G is the centroid.
Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.
Also,that the median touches the side of the triangle at their midpoints.
Thus,by inspection, we can say that;
GD = ⅓AD
GC/FG = 2/1
Thus, GC = 2FG and FG = ½GC
BG = ⅔BE
Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.
Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .At birth, the rhino weighed 85 pounds. The rhino gained the same amount of pounds each month for 6 months. After 6 months, the rhino weighed 493 pounds. How much weight did it gain each month?
Answer:
68 pounds a month
Step-by-step explanation:
so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
20. Find the area of the shape below.
EI = 18 centimeters
KT 12 centimeters
Round your answer to the nearest centimeter.
Answer:
Step-by-step explanation:
Problems 1-2, which symbol should be used to make the values true; > or
Answer:
1. <
2. <
Step-by-step explanation:
Have a good day :)
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3,−6)
Point K: (−1,−6)
Point L: (−1,2)
Point M: (3,2)
Enter the length of side JK.
units
Answer:
We have to draw it!
Step-by-step explanation:
Use graph paper:
4 units i graphed it out
The label for area will always be the units
(feet, centimeters, inches, etc) squared.
Which labels below represent units
squared? Choose all that apply!
cm
mm2
in2
be
mi
ft2
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5