Given:
The perimeter of a triangle = [tex]24x-6[/tex]
The length of two sides are [tex]5x-7[/tex] and [tex]2x+5[/tex].
To find:
The polynomial for the third side of the triangle.
Solution:
We know that the perimeter of a triangle is the sum of its three sides.
Let the unknown side be y.
[tex](5x-7)+(2x+5)+y=24x-6[/tex]
[tex]7x-2+y=24x-6[/tex]
Isolate variable y.
[tex]y=24x-6-7x+2[/tex]
[tex]y=17x-4[/tex]
Therefore, the length of the third side of the triangle is [tex]17x-4[/tex].
use the following table to answer the question. mireya wants to buy 4 avocados. the local market sells avocados at the rate shown below. the store down the road is advertising 5 avocados for 5$. in complete sentences, explain which store has the better rate.
Answer:
local market sell at a better rate,Mireya can buy 4 avocados at the rate of 4×1.15=$4.60
but if she wants 5 she will buy them $5.75 but at the store down it will be less at $5 difference of 75c. with local market
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
5/6 × 10/11
44/65× 32/43
Answer:
1. ( x − 1 ) 2 ( y 2 − y − 12 ) + ( y 2 + y − 6 ) 1 x − 1 − 5 x − 6
2. ( x 2 + x− 12 ) + ( x 2 − 8 x + 16 ) √ 50 1 x + 2 ⋅ 6 x + 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/6 * 10/11 = 0.757575758
44/65 * 32/43 = 0.503756708
Is that all you need?
ayudaaaa por favor es urgente
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
7/4 x 1 = 7/4 x ?/? = 35/20
Answer:
5/5
Step-by-step explanation:
7/4 × 5/5 = 35/2
hole this helps
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72
Help me with this :))))
Answer:
PR=34
Step-by-step explanation:
hope this helps!!!
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
680 in^2
Step-by-step explanation: (find the surface area)
2(8 x 15 x 1/2) = 120
8 x 14 = 112
17 x 14 = 238
15 x 14 = 210
Answer:
This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest
Step-by-step explanation:
please helpp don’t know how to solve
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
What are the next three terms in the sequence 90, 84, 78,
72, ...?
Answer:
68, 62, 56
Step-by-step explanation:
Hope this helps :)
Answer:
after 72 its...
Step-by-step explanation:
66 , 60 , 54 ...
you are simply just subtracting 6 from every number.
2) It is a subset of a line consisting of two endpoints and all the points in between.
a) Ray b) Line Segment c) Opposite Rays d) Congruent Segments
Answer:
b.line segment
Step-by-step explanation:
line segment is a piece and or part of a line having two end points
Hoy hemos ido al cine 12 niños y 18 niños de mi escuela y 14 niños de otra escuela,si cada entrada cuesta $25 ¿cuánto se pagara en total?
Answer:
the amount paid in total is $1,100
Step-by-step explanation:
The computation of the amount paid in total is shown below:
= Total persons × cost of each one ticket
= (12 boys + 18 girls + 14 boys) × $25
= 44 persons × $25
= $1,100
Hence, the amount paid in total is $1,100
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?
Answer:
11Step-by-step explanation:
to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:according to the question
2(-1)³+9(-1)+k=0
=>2(-1)+9(-1)+k=0
=>-2-9+k=0
=>-11+k
therefore
k=11
Find the point(s) of intersection, if any, between the circle and line with the equations given
Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
so the two points of intersection will be (1,3) and (-4,-2)
hope this helps!
My friend needs some help
Answer: 6 Gallons per minute
Step-by-step explanation: 42 divided by 7 will get you 6
Answer:
6 gallons/minute
Step-by-step explanation:
42 gallons/7 minutes
= 6 gallons/minute
If x = -2, calculate 3x^2. *
O
A. -36
B.-12.
O C. 12
OD. 36
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Round the number 78 to the nearest tenth
61
80
16
Answer:
The answer is 80
Step-by-step explanation:
78 is closer to 80
Answer:
the answer is 80
Step-by-step explanation:
it will be 80 because 78 is closest to 8
There are 5 movies that Bilal wants to see over the break. He only has time to see 3 of the movies. How many different groups of 3 movies are possible if the order in which they are seen is not important? *
Answer:
I.D.K! Sorry!
Step-by-step explanation:
Sorry! I Wish I New This! :)
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
Answer this question to get 20 points!!!!
Answer:
58
Step-by-step explanation:
All interior angles in a triangle add up to 180.
What number would represent 56 feet below sea level?
Answer:
-56
Step-by-step explanation:
That is because the 56 is below sea level, not above it, so it would be negative 56
Hope that helps!
-56ft
Since it is BELOW sea level it would be considered a negative number. If it were ABOVE sea level then it would be a positive number. Another way to think about this:
Above Sea Level = +
Below Sea Level = -
Hope this helps and have a nice day.
-R3TR0 Z3R0
4- 6x= -44
4+ x = -2
Answer:
the first x=8 and the second x=-6
Step-by-step explanation:
Did I do this question right ?
If not explain why
I tried and but not sure .....
Answer:
almost
Step-by-step explanation:
-4 <= x < 0
at least includes the number, less than does not include the number.
While mining john found a large metal bar that weighed 25grams john was also able to determine that the bar had 13 grams of silver in it . What percent of the weight of the bar was silver
Answer:
52%
Step-by-step explanation:
13/25=0.52
0.52 as a percent is 52%
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx