Multiply the radical expression
Answer:
Step-by-step explanation:
(√x + √3)(√x + 2√3) = (√x)² + 3√3√x + 2(√3)² = x + 3√(3x) + 6
the width of a rectangle is 2 in less than its length the area is 24 square inches find the dimensions of the rectangle
Answer:
6,4
Step-by-step explanation:
Create a system of equations
l-2=w
w*l=24
Substitute
l-2*1=24
l=6
6-2=4
w=4
Dimensions of the rectangle are 6inch and 4 inch.
What is rectangle?
"Rectangle is a quadrilateral whose all angles are right angle and opposite sides are parallel and equal in measurement."
What is dimensions?" Dimension is measurement of any object such as length, width and height of any object."
What is area?"Area is a space occupied by an object."
Let 'l' be the length of the rectangle.
According to the question,
Width = l - 2
Area= 24 square inches
Formula used
Area of a rectangle = length x width
[tex]24 = l[/tex] × [tex](l-2)[/tex]
⇒[tex]24[/tex] = [tex]l^{2} -2l[/tex]
⇒ [tex]l^{2} -2l -24=0[/tex]
⇒[tex]l^{2} -6l+4l -24 =0[/tex]
⇒[tex]l(l-6) +4(l-6) =0[/tex]
⇒[tex](l-6)(l+4) =0[/tex]
⇒[tex]l=6[/tex] or [tex]l= -4[/tex]
length cannot be negative.
Therefore, [tex]l=6[/tex]inch
⇒width = [tex]6-2[/tex]
⇒ width = 4 inch
Hence the dimensions of the rectangle are 6inch and 4 inch.
Learn more about dimensions of the rectangle here
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The measure of an angle is 142.5°. What is the measure of its supplementary angle?
Answer:
37.50°
Step-by-step explanation:
The sum of both sides of an angle is 180°.
180° - 142.5° = 37.50°
Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down on the purchase?
1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 10? Show your work.
Answer:
increases by 1 each time
Step-by-step explanation:
3, 4, 5
Help pls ASAP
The population of rabbits in a local park reserve can be modeled by the function r(x) = 25250(1.08), where t represents the number of years.
Which statement is true based on the function?
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Which expression is equivalent to -2(9y-3)
a) -18y + 6 c) -18y -3
b) -18y - 6 d) 18y + 6
Answer:
a. -18y+6
Step-by-step explanation:
i hope this helps :)
heat can be produced by - two things
HELPP MEE PLEASEEEE!!!
Answer:
1) 2
2) -2
3) -8
4) -2
Hope this helps!
y=x^{2}+2x-1
find the following
AOS, Vetex,Roots,Domain,Range, postive/negative, y-intercept
Answer:
Step-by-step explanation:
Maria has 10 sheets of paper. She cuts some of the sheets into five parts each. After that Maria has 22 pieces in total. How many sheets did she cut?
Answer:
3 sheets
Step-by-step explanation:
It is given that:
Number of sheets Maria had = 10
Maria cut sheets into = 5 parts each
After cutting the sheet, the number of the sheets that Maria fad in total = 22
So Maria cut 1 sheet = 5 parts
Therefore, 1 sheet gives 5 pieces
2 sheets gives 10 pieces.
Similarly 3 sheets gives 15 pieces.
So number of sheets left with Maria = 10 - 3
= 7 sheets
Therefore, now Maria has = 15 + 7
= 22 pieces
Thus, Maria cut 3 sheets of paper.
very urgent can someone please solve thank you
Answer:
RP= 15.3 km (3 s.f.)
Step-by-step explanation:
Please see the attached pictures for the full solution.
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. Which inequality can be used to determine the amount of money the family still needs to save? 2764 + x > 5000 2764 + x Greater-than-or-equal-to 5000 2764 + x Less-than-or-equal-to 5000 5000 + x > 2764
Answer:
B. 2764 + x Greater-than-or-equal-to 5000
Step-by-step explanation:
A. 2764 + x > 5000
B. 2764 + x Greater-than-or-equal-to 5000
C. 2764 + x Less-than-or-equal-to 5000
D. 5000 + x > 2764
Current balance of their account = $2,764
They need a balance of at least $5,000
At least in inequality means greater than or equal to
Let x = remaining balance to make at least $5,000
The inequality is
2764 + x greater than or equal to 5,000
The answer is B. 2764 + x Greater-than-or-equal-to 5000
The inequality that can be used to determine the amount of money she still needs to save is x ≥ $5000 - $2,764.
What inequality can be used to represent the amount that still needs to be save?The following are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign to be used is ≥.
The amount that still needs to be saved: x ≥ $5000 - $2764
To learn more about inequality, please check: https://brainly.com/question/5031619
PLEASE HELP!!!!! Which graph represents the solution to this set of inequalities?
TYSM! :)
(A,B,C,or D??)
Answer:
a is the answer
Step-by-step explanation:
.......................
The price of a necklace was reduced from $30 to $21. By what percentage was the price of the necklace reduced
Answer:
= 30% decrease
EVERYONE LMK who is your celebrity crush i wanna see
Answer:
so uh yall probably never heard of her but shiiiiiiiiiii
Step-by-step explanation:
her name is chicken nuggies ;)
can someone please help
Answer:
They are congruent.
Step-by-step explanation:
They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place
Solve for r 4/r 5/7
On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?
Answer:
30 first-class tickets were sold and 260 coach tickets were sold.
Step-by-step explanation:
Let a first-class ticket be represented by f and let a coach ticket be represented by c.
On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:
[tex]f+c=290[/tex]
The total income was $95,280. Therefore:
[tex]680f+288c=95280[/tex]
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
[tex]85f+36c=11910[/tex]
From the first equation, we can subtract f from both sides:
[tex]c=290-f[/tex]
Substitute:
[tex]85f+36(290-f)=11910[/tex]
Distribute:
[tex]85f+10440-36f=11910[/tex]
Simplify:
[tex]49f=1470[/tex]
So:
[tex]f=30[/tex]
From the previous equation:
[tex]c=290-f[/tex]
Substitute:
[tex]c=290-30=260[/tex]
30 first-class tickets were sold and 260 coach tickets were sold.
Last month, Margo bought a tree that grows 2.5 \text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text each day. It was 5 \text{ cm}5 cm5, start text, space, c, m, end text tall when she bought it and now it is 65 \text{ cm}65 cm65, start text, space, c, m, end text tall.
Answer:
equastion: 5+2.5d=65
days: 24
Step-by-step explanation:
got it right on khan, sorry if late
Mica translated Polygon C two units to the right and then reflected the image across the y-axis to get Polygon T. Sasha used one transformation to transform Polygon C to Polygon T. Describe the transformation that Sasha used.
Answer:
i hi k u r so weak i. maths
it's a simple question
Answer:
She did a 90° rotation clockwise.
Step-by-step explanation:
As u see if u did a reflection it would be at the same area but on the other side but if u do a 90° rotation clockwise it'll be at the same exact spot as Shape T. Is this really a highschool question??...
**65 POINTS PLEASE ANSWER SOON**
If the fourth term of an Arithmetic sequence is 48 and the third term is 36...
(A) What is the first term?
(B) What is the twelfth term?
Answer:
1st term is 12
12th term is 144
Step-by-step explanation:
48-36=a4-a3=a1 so a1 is equal to 12 now to get from a3 to a4, you must add 12, so d=12.
a12=12+11*12=12+132=144
HELP❗️❗️❗️❗️❗️❗️
Students observed a plant left by a window over several days. The pla
was watered daily. After three days, the plant began to grow towards
the window as shown above.
Which of the following best explains the student's observations?
Answer:
The plant is responding to the stimulus of the sunlight.
HELP YALL I DIDNT STUDY
Thomas runs 1200m with a constant velocity of 8ms-' before jogging for
the next 200 seconds at a constant velocity of 2ms",
Draw accurate displacement/time & velocity/time graphs for this
run. Draw these directly underneath each other,
Step-by-step explanation:
only attached the displacement/time graph
slope intercept equation from graph
Answer:
y = 2x+4
Step-by-step explanation:
Hi there,
In this linear graph, we notice that the slope is 2 since the [tex]\frac{rise}{run}[/tex] is [tex]\frac{2}{1}[/tex]. We also notice that this line crosses the y-axis at x = 0. Based on the information we found, we can put it in the linear equation y = mx+b.
Here is what the m and b means for reference:
m = slope
b = y-intercept
The final answer will be y = 2x + 4.
Hope this answer helps clarify this concept. Feel free to ask me questions. Cheers.
Which of the following is the value for x?
Answer:
67
Step-by-step explanation:
which number line represents the solution to the inequality (will make brainliest) pls help
Answer:
C
Step-by-step explanation:
because the solution dors not include -3 but everything less than.
Can you help solve for x in these three problems?
Answer:
19) 4 21) 8 23) 6.31
Step-by-step explanation:
23) -1 +14x + 12x +17 = 180
26x+16=180
26x=164
x= about 6.31
please help me on this question
Answer:
D 42,240 ft
Step-by-step explanation:
First find how many miles Anil rides.
9.7-1.7 = 8 miles
There are 5280 feet in 1 mile.
5280*8= 42,240 ft