Answer: x - 4
The missing dimension of the prism is A
because the volume of the rectangular prism equals the product of the sides, we have:
V = (x - 1)(x - 3)A
but V = x³ - 8x² + 19x - 12
=> x³ - 8x² + 19x - 12 = (x - 1 )(x - 3)A
⇔ x²(x - 1) - 7x(x - 1) + 12(x - 1) = (x - 1)(x - 3)A
⇔ (x² - 7x + 12)(x - 1) = (x - 1)(x - 3)A
⇔ (x² - 3x - 4x + 12)(x - 1) = (x - 1)(x - 3)A
⇔ (x - 3)(x - 4)(x - 1) = (x - 1)(x - 3)A
⇒ A = x - 4
Step-by-step explanation:
sup smart people I need help
Answer: kid your iq is lower than an e girl could make me a sandwich starting with only fanz got this kid hes so lost more lost then hellen keller looking for her glasses your litterly free sultry shut the f-u-c-k up kid you have no earnings you play on a radio your literally free i packed you out thats my d-i-c-k coming up behind you your dads never coming home your free so free you have to play with tv sound
Step-by-step explanation:
Answer:
Step-by-step explanation:
Switch sides:
x/7=17.92
Multiply both sides by 7:
7x/7=17.92*7
simplify:
x=125.44
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
porfavor ayúdame no entiendo esto trabajó
* en el siguiente problema anteriormente en la unidad ahora utiliza el proceso de seis pasos para resolver problemas deberá configurar un sistema de ecuaciones utilicé un enfoque gráfico para resolver sistemas.
* tienes 14 monedas en tu bolsillo que son 25 centavos o 5 centavos el valor total de las monedas es de $2.50 ¿ cuantas monedas de cada tipo tienes?
Hannah has 24 stickers. This is 6 less than twice the number of (n) molly has.
Answer:
molly has 60 stickers I think
Step-by-step explanation:
sorry if i'm wrong
Which part of the water cycle is modeled in the video? (2 points)
Condensation, because liquid water is changing to gas
Condensation, because water is changing from gas to liquid
Evaporation
Answer:
Evaporation
Step-by-step explanation:
because the temperature rises as go up...
Answer: B
Step-by-step explanation: Condensation, because water is changing from gas to liquid
7 years ago father was 7 times as old as his son was. three years hence, he will be three times as old as his son find their present ages.
Answer:
son = 10 , father = 40
Step-by-step explanation:
Let Five years ago the age of son be x years and age of father be 7x years
Present age of son =x+5
Present age of father =7x+5
5 years later their age will (x+10) and (7x+10)
∴7x+10=3(x+10)
7x−3x=20
4x=20
x=5
So, the present age of son=x+5=5+5=10years
and the present age of father=7x+5=35+5=40years
hope it helps you
8. Which measurement is the area of the shaded part of the figure? 15 cm A. 99 cm C. 224 cm? B. 128 cm? D. 256 cm
Answer:
The answer is C
Step-by-step explanation:
Am pretty sure C
Answer:
c
Step-by-step explanation:
i took the test
Three friends go to a book fair. Allen spends $2.40. Maria spends 4 times as much as Allen. Akio spends $3.45 less than Maria. How much does Akio spend? Akio spends $ at the book fair.
8 Roj bought some sweets. He gave 2/3of the sweets to his friends
and had 5 sweets left. How many sweets did Raj buy?
units =
Answer:
15
Step-by-step explanation:
let ,no of sweets =x
therefore,x-2x/3=5
therefore x=15
12. Volume of a cube is 648V3 cm³. Find its total surface
area.
Answer:
area= 449.2984 cm^2 if I understand correctly that the volume is 648 cm^3
Step-by-step explanation:
side length=the cube root of 648
side length=8.6535 cm
area=8.6536x8.6535x6=449.2984 cm^2
For a circle of radius 7 feet, find the length of an arc s with a measure of 26°.
s = 7/180 π feet
s = 91/180 π feet
s = 182 π feet
s = 91/90 π feet
Answer:
Step-by-step explanation:
r = 7 ft
θ = (26/180)π = (13/90)π radians
arc length = rθ = 7×(13/90)π = (91/90)π ft
Can someone please help I’ve been trying to solve this for a while and can’t so if you’d like to help me feel free to! :)
Answer:
The product means multiply
The second one: 5x=15
Step-by-step explanation:
Hope that helps!!!!!
Determine the area, in square units, of the triangle below. Round your answer to one decimal place.
1.53
26°
1.22
Answer:
Area =0.41 units^2
Step-by-step explanation:
sin 26 degrees=height/1.53
height=.438371 x 1.53=0.67
Area =(1/2)(0.67)(1.22)=0.41 units^2
?? Please help I’m confused
Answer:
the 4 would equal 16
the 2 would equal 4
To get this you would have to multiply the number by the scale factor of 4
4(4)=16
2(4)=8
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Hope this helps
Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys?Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys? A. 33 + 42 B. 33 + 24 C. 33 + 4 × 2 D. 32 + 4 × 2
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.
The expression that gives the total cost of the bouquets that Penny buys will be:
= (3 × $3) + (4 × $2)
Solving further will be:
= (3 × $3) + (4 × $2)
= $9 + $8
= $17
Answer:
D
Step-by-step explanation:
PLLZZZZ HELPPPP NOWWW!!!!!
At the baseball game, 4 hot dogs and 6 soft drinks cost $34, and 3 hot dogs and 3 soft drinks cost $21. Which system of equations below can be used to determine the price of a hot dog and the price of a soft drink?
(Let x represent the cost of a hot dog and y represent the cost of a soft drink.)
A.
7x + 9y = 55
B.
4x + 3y = 34
6x + 3y = 21
C.
4x + 6y = 34
3x + 3y = 21
D.
4x + 3x = 28
6y + 3y = 27
Answer:B
Step-by-step explanation:
a class of 60 voted for class president. 30% voted for Brad and 70% voted for Jane. How many votes did the winner get?
Answer:
Jane got 42 votes.
Step-by-step explanation:
Step 1: Put 70% into decimal.
0.7
Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:
42
Jason drives 15 miles in 10 minutes. If he drove one hour in total at the same rate how far did he go
find the value of each variable. please help this is overdue
Answer:
x = 16√3
y = 8√3
Step-by-step explanation:
First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).
x = 24/cos(30)
(cos(30) is the same as √3/2)
x = 24/√3/2
Step 1: Multiply by 2/√3
x = (24 * 2)/√3
Step 2: Rationalize the denominator by multiplying by √3
x = √3(24 * 2)/√3 * √3
Step 3: √3 squared is 3.
√3(24 * 2)/3
Step 4: Multiply 24 by 2 to get 48.
x = √3(48)/3
Divide √3(48) by 3 to get 16√3
x = 16√3
Before we figure out y, we need to find you what 16√3 squared is.
((16(√3))²
Step 1: Expand the above equation.
16²(√3)²
Step 2: Square 16 to get 256.
256(√3)²
Step 3: √3 squared is 3.
256(3)
Step 4: Multiply 256 by 3 to get 768.
768
Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²
5 - 3 x = 2 - 6 (X + 2)
Answer:
X = -5
Step-by-step explanation:
The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).
What is the length of the segment joining the midpoint of GT and O?
Answer:
6.33
Step-by-step explanation:
Given the coordinates;
G(-4,2), O(5,-1), and T(10,8).
Midpoint of GT is expressed as;
M = (-4+10/2, 2+8/2)
M = (6/2, 10/2)
M = (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
MO = √(3-5)²+(5+1)²
MO = √2²+6²
MO = √4+36
MO = √40
MO = 6.33
Hence the length of the segment joining the midpoint of GT and O is 6.33
The length of the segment joining the midpoint of GT and O is 6.33.
The calculation is as follows;Midpoint of GT is expressed as;
[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]
= (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]
= 6.33
Learn more: brainly.com/question/16911495
Solve the equation 2(h+3.5) = -11.
Answer:-9
Step-by-step explanation:
Find the area of the trapezoid a21 b22.50 c11.25 d42
[PLEASE BE QUICK] Write the equation of the line in point-slope form that passes through the given point with the given slope. 5. (1, 5); m=-3
Answer:
y-5=-3(x-1) simplified: y=-3x+8
Step-by-step explanation:
y-y1=m(x-x1)
plug in point and slope given
y-5=-3(x-1)
y=-3x+3+5
y=-3x+8
Which inequality represents the stated situation : A theater is made to receive no more than 750 spectators. Group of answer choices
Answer:
C. s ≤ 750
Step-by-step explanation:
A. s≥750
B. s=750
C. s≤750
D. s<750
'no more than' in inequality means "less than or equal to"(≤) which means that the quantity could be less than or equal to.
From the question given, the theater can only receive less than 750 spectators or 750 spectators but no more than 750 spectators
The statement can be represented by the inequality;
s ≤ 750
Where
s means spectators
i need help ASAP please and thank you !!!!!!!
Answer: He would make $1,170 a week.
Step-by-step explanation:
He makes $400 a week.
$55 per appliance sold, he sold 14 appliances.
$55 x 14 = $770
$400 + $770 = $1,170
Hope this helps!:)
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
In 2010, there were 411 Asiatic lions in India. In 2015, there were 523 Asiatic lions in India. Work out the percentage increase in the number of Asiatic lions in India from 2010 to 2015
Answer:
The answer is 27.25.
Step-by-step explanation:
Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]