Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
[tex]Perimeter=2(l+w)[/tex]
Where, l is length and w is width.
Substituting the values, we get
[tex]32=2((x+10)+x)[/tex]
[tex]32=2(2x+10)[/tex]
[tex]32=4x+20[/tex]
Subtract 20 from both sides.
[tex]32-20=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by
[tex]3=x[/tex]
So, the length is
[tex]3+10=13[/tex]
Therefore, the length of the rectangle is 13 cm.
factorise
3x^2+22x+35
please give me this
Answer:
(3x + 7) (x + 5)
Step-by-step explanation:
Hope this helped :)
Answer:
(3x+7)(x+5)
Step-by-step explanation:
−3x−9y=18
4x+3y=12
Answer:
x = 6 , y = -4
Step-by-step explanation:
Solve the following system:
{-9 y - 3 x = 18 | (equation 1)
3 y + 4 x = 12 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = 12 | (equation 1)
-(3 x) - 9 y = 18 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{4 x + 3 y = 12 | (equation 1)
0 x - (27 y)/4 = 27 | (equation 2)
Multiply equation 2 by 4/27:
{4 x + 3 y = 12 | (equation 1)
0 x - y = 4 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = 12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 24 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 6 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 6 , y = -4
Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?
Answer:
7.2 Minutes
Step-by-step explanation:
Use Ratios
Miles : Minutes
5:36
Divide Both Sides By 5
1:7.2
It will Take Ally 7.2 Minutes To Run 1 Mile
I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).
the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.
Substitute x as 4.
Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles
I need help!!! Find m<2.
Answer:
Step-by-step explanation:
m∠2 = 180° - 113° = 67°
18x + 3y = -21 !!!!!!!!!!
18x+3y=-21
slope -intercept form: y=mx+b
move 18x to the other side
sign changes from +18x to -18x
18x-18x+3y=-18x-21
3y=-18x-21
divide both sides by 3 to find slope-intercept form
3y/3=-18x/3-21/3
y=-6x-7
answer: y=-6x-7
Answer:
x= -1/6 y + -7/6
Step-by-step explanation:
What are the solutions to this quadric equation? -2x^2 + x + 4 = 0
Answer:
(1-[tex]\sqrt{33}[/tex])/4 and (1+[tex]\sqrt{33}[/tex])/4
Step-by-step explanation:
-2x^2 + x + 4 = 0
use quadratic formula x= (-b±[tex]\sqrt{b^{2} -4ac}[/tex] ) / 2a
a=-2
b=1
c=4
x= (-1±[tex]\sqrt{1^{2} -4(-2)(4)}[/tex] ) / 2(-2)
x=(-1±[tex]\sqrt{33}[/tex] ) / -4
x=(1 -[tex]\sqrt{33}[/tex]) / 4 and (1 +[tex]\sqrt{33}[/tex]) / 4
How to make this question..?
Which congruency statements could be correct for the figures? Check all that apply. MNOP ≅ STUV MNPO ≅ TSVU NPOM ≅ VUTS OPNM ≅ TUVS PONM ≅ UTSV
Answer:
The answers are C and D
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
have a wonderful day
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
1/3 (x-10)=-4 what does x represent
Answer:
-2
Step-by-step explanation:
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Step 1: Multiply both sides of the equation by 3.
Step 2: Simplify both sides of the equation.
Step 3: Move all terms not containing x to the right side of the equation.
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
NEED HELP ASAP! WILL GIVES 15 POINTS AND MARK BRAINLIEST
Answer:
2,800
Step-by-step explanation:
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
Carmen has bought 30 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last?
Answer:
24/34=12/17=.7058..................
Step-by-step explanation:
Distribute: 3 (4x - 5)
Answer:
12x - 15
Step-by-step explanation:
Answer: 12x - 15
Step-by-step explanation: Just multiply 3 by both terms in the parentheses.
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0
PLEASE HELP MEEEE!!!!!
Answer:
47.8
Step-by-step explanation:
Answer:
Okay so what you need to do is add up all of the scores. 8.3+7.4+9.1+7.4+7.4+8.2 and that would give you the answer of 47.8 and it is a rational number because it can be written as the ratio of two integers. plz mark me brainliest
Step-by-step explanation:
Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION
Answer:
100 sq m
Step-by-step explanation:
if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m
then the little piece on the left that is taken out is 2 x 2 = 4 sq m
the piece on the right is 6 x 12 = 72 sq m
so subtract them from the big rectangle
176 - 4 - 72 = 100 sq m
Answer:
100m^2
Step-by-step explanation:
To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.
Area= base•height
So for the purple shape:
6•2=12
Orange:
8•8=64
Green:
2•12=24
In total:
12+64+24=100
And since it's area it would be in square units which just means it'd look like this:
[tex] {100m}^{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
40) Start at -2. Add 12. My answer is 10
Did I do that correctly is the answer correct
Yes that is correct
Kugvuykvyukykvuuyvkkyvu
2. Solve the inequality 2(−3)≤−8.
Answer:
-6 less than or equal to -8
Step-by-step explanation:
The left side
6
is greater than the right side
8
, which means that the given statement is false.
HELPPP!!!
help me for a brainliest!
=5^6/5^4
=5^(6-4)
=5^2 ANSWER..
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
Write a piecewise function for the graph.
Similar to Modulus, but It's separated.
Since both are separated, that means - they are both linear function.
The range is greater than all negative numbers. That means y ≥ 0
( 1 ) For the blue graph,
y = -x-3 {y ≥ 0} ---------- Blue Graph Answer
-x-3=0
-x=3
x=-3
We can clearly see that the slope is -1.
And intercept x-axis at (-3,0)
( 2 ) For the red graph.
y = 2x+6 { y ≥ 0} ---------- Red Graph Answer
Notice that the slope is 2.
And intercept x-axis at (-3,0)
Also intercept y-axis at (0,6)
2x+6=0
2x=-6
x=-3
---------- Only linear function with given y ≥ 0 can draw that. (Only separated graph.) --------------
Consider quadrilateral EFGH.
The slope of EF is .
Which statements are true? Check all that apply.
EH is parallel to FG.
EF is perpendicular to EH.
HG is neither parallel nor perpendicular to FG.
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.
(B) EF is perpendicular to EH.
Quadrilateral:A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle. Display style "square ABCD" is sometimes used to indicate a quadrilateral with the vertices A, B, C, and D.Therefore, the correct option is (B) EF is perpendicular to EH.
Know more about quadrilaterals here:
https://brainly.com/question/16691874
#SPJ2
Answer:
B and C
Step-by-step explanation:
A bag of sweets contains only two different flavours - strawberry and Orange
The probability that a sweet is strawberry flavour is 0.8
What is the probability that a sweet is orange flavour
Answer: 0,2
Step-by-step explanation:
q+9p when q=18 and p=4 just the answer not how to solve
Answer:
The answer would be 54.
Answer:
The answer is 54.
Step-by-step explanation:
(Sorry I have to do this otherwise it will be deleted)
18+36
PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP
Answer:
x = 18
y = 54
Step-by-step explanation:
A straight line equals 180 degrees.
Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.
Because there is a right angle, we can subtract 90 -72 = 18.
18 + 2x = 3x
18 = x
A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!