4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answers
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
hope it helped have a good day mate
Related Questions
Solve this system using Substitution
y=5
y=-2x+3
Answers
Answer:
x = -1
Step-by-step explanation:
-2x+3 = 5
subtract 3 on both sides: -2x = 2
divide both sides by -2: x = -1
write the linear function. i will make brainylist
Answers
Answer:
y=-2x+5
Step-by-step explanation:
To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).
The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):
(0,5) and (1,3)
m=(3-5)/(1-0)
m=-2
We can see from the graph that the line cuts the y-axis at y=5, so c=5.
Now that we know m and c, we plug these values into our formula to get y=-2x+5
What is the value of X?
Answers
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
Find the value of z in parallelogram CDEF
Answers
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
Sally rents a life jacket for a one-time fee of $5. She then rents a canoe for $15 per hour. Write an expression that represents the total cost, in dollars, to rent the life jacket and the canoe for h hours.
Answers
Answer:
3.00/8
Step-by-step explanation:
because u simplify 15/5 and u get 3
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children must be 1 : 8
Penny has 56 children at the nursery.
Work out the number of adults Penny needs for 56 children?
Show your wor
Answers
Answer:
9
Step-by-step explanation:
Can you please help thanks
Answers
Answer:5/2a + 10/3b
Step-by-step explanation:
(1/6)(15a+20b)
=(1/6)(15a)+(1/6)(20b)
What is the area of the circle below?
27 m
424 m?
848 m?
O 572 3 m
0 729.1 m
Answers
Answer:
Can you show us the circle so we can solve the problem?
Step-by-step explanation:
Simplify the inequality
1/3 + 1/6 <= 1/x
Answers
Answer:
x ≤ 1/2
Step-by-step explanation:
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,
-1.79, 2 1/4, 2.54,-4
Answers
What the ratio of 25 and 50
Answers
Answer:
1:2
Step-by-step explanation:
In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Answers
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]
AD = 15 , AB = 8 , [tex] \angle[/tex] DAB✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]
Height & Area of the given parallelogram✰ [tex] \underline{ \underline{ \large{ \tt{S \: O
\: L \: U \: T\: I\: O \: N}}}} : [/tex]
In right angled triangle ABE :
Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°Now , Using trigonometric ratio :
[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]
Plug the known values :
⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]
⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]
⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]
⟶ [tex] \large{ \tt{h = 2.72}}[/tex]
Now , We have :
Base ( b ) = 15Height ( h ) = 2.72Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :
❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]
⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]
⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]
Hence , Our final answer :
[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]
[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Calculate the distance between the points A=(-5, 6) and J = (1, -1) in the coordinate plane.
Answers
Answer:
7 cubic meters away
Step-by-step explanation:
Find x. Round to the nearest tenth if necessary.
Answers
Answer:
5
Step-by-step explanation:
3+x
Answer:
Is there any picture? If there isn't, it cannot be solved.
Step-by-step explanation:
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answers
Answer:
t(x) = 6x + 438
Step-by-step explanation:
The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.
Note that the first function is fixed and doesn't actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.
// combining the two functions
t(x) = 450 + 6(x − 2)
// simplification
t(x) = 450 + 6x − 12
t(x) = 450 + 6x − 12
// the simplified function is
t(x) = 6x + 438
X < -4.8
Chose 2 Answers:
(A)2
(B)0.9
(C)-2.3
(D)-5
(E)-6.1
Please Help.
Answers
Answer:
D & E
Step-by-step explanation:
What is the greatest common factor of 12^5 and 8^3
Answers
Hope this helps!!!!
Use the Distributive Property to solve the equation.
2
(6a + 9) = 16.8
3
2
6a +
2
.9
3
16.8
3
a
(Simplify your answers.)
Answers
Answer:
Step-by-step explanation:
Find the area of the semicircle. Use 3.14 for pi.
Answers
Answer:
25.12
Step-by-step explanation:
πr^2
π4^2 = ~50.27
~50.27/2 = ~25.12
Please help, this is due soon.
Answers
HOPE IT HELPS U!!!!!
Write the equation of the line. , ILL MARK BRAINLIST
Answers
Step-by-step explanation:
line equation
we know that the equation on the line is given by y equals MX plus b, where M & B are numbers it's is its slope and b is it's y - intercept.
in order to find the equation we must find m and b.
we are going to use two points where the line crosses, in the figure we can see that it crosses points
(0, 4) and (2,1).
staff one first, we change of each variable from point 1 to point to
then, our equation should look like
y = -3/2x + 4
Answer plzzzzzzzzzzzzz
Answers
Answer:
x=12.727822
Step-by-step explanation:
Since we know two of the angles, we can find the third. 180-90-45=45. This means the two sides of the triangle are also equal, and we know the hypotenuse is 18. So we can use the Pythagorean theorem.
x²+x²=18²
2x²=324
x²=162
x=√162
x=12.727822
I would like anyone to help me with this, please!
Answers
Answer:
the sencond and the last one
Answer:
125 • 125
Step-by-step explanation:
5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625
125 • 125 = 15,625
They give the same result so both expressions are equivalent to each other.
4. Solve for x in each diagram.
a.
X°
108°
156°
Answers
Answer:
x = 48°Step-by-step explanation:
108° + 24° + x° = 180°132° + x° = 180°x° = 180° - 132°x= 48°MARK ME AS BRAINLISTPLZ FOLLOW MR1st Question:
Solve: 3/x-4>0
X<4
X>-4
X>4
X<-4
2nd Question:
Solve x+2/x-4<0
-4
-2
-2
-4
Answers
Answer:
1) 3/4 = x
Step-by-step explanation:
1) 3/x -4 >0
=3/x -4+4>0 +4
=3/x> 4
switch 4 with x
x = 3/4
so literally the ans is x< 4
sorry but I don't know how to do the second question ☹️☹️
Answer:
first Question answer is x > 4. The second question answer is –2 < x < 4
Step-by-step explanation:
EDGE 2021
write the digit on the blank which occupies the place value
Answers
Answer:
guganitckihkgucifufu
What are the next three terms in the sequence?
-6,5,16,27...
38, 49,60
37,47,57
36, 45, 54
36, 46,57
Answers
Answer:
uff si está bien fácil por favor tu te sabes la respuesta y yo tambien
Will marks as brain Uh I don’t have to watch ads for like 40 questions and I don’t know if you just get them for answering questions or if I accidentally bought premium help
Answers
100 POINTS!!
Find the slope and the y intercept of the line in the graph.
Answers
Answer:
Slope: 5/1
y-intercept: 2
Step-by-step explanation:
The number of measles cases decreases by 9 percent to 508 cases. What was the number of cases before the decrease
Answers
Answer:
558
Step-by-step explanation:
The original number of cases of measles was x.
x was 100% of the number of cases of measles.
The number of cases then went down by 9%.
100% - 9% = 91%
The number of cases now is 91% of the original number, or 91% of x. We are told the number now is 508, so 91% of x must equal 508.
91% of x = 508
0.91x = 508
x = 508/0.91
x = 558.241...
Answer: 558