hi
if it's intersect, then :
4x-10 = -4x+8
-10-8 = -4x-4x
-18 = -8x
-18/-8 = x
18/8 = x
9*2 /4*2 = X
9/4 = X
So X is 9/4 then y is : 4( 9/4) -10 = 9-10 = -1
Lines intercept at ( 9/4 ; -1)
A rectangular goat pen has an area of 32 square meters and a perimeter of 24 meters. What are the dimensions of the pen?
Answer:
Breadth is 4 m and length is 8m
Step-by-step explanation:
Area of the rectangle = Length * breadth
Area of the rectangular goat pen= 32 square meters
Perimeter of the rectangular goat pen = 24 meters
Perimeter of the rectangle = 2(length + breadth)
24= 2(l+b)
12= length + breadth
12- breadth = length ----------- equation A
Area = l*b
32= l*b
32= (12- b) *b
32= 12b- b²
b²-12b+32= 0------------------- equation B
Solving the quadratic equation by factorization
b²- 8b- 4b+32= 0
b(b-8) -4(b-8)= 0
(b-8) = 0
(b-4)= 0
b= 8 or b=4
As breadth is usually smaller than length then putting b= 4 in equation A
gives
12- breadth = length
12-4= length
length = 8
Hence breadth is 4 m and length is 8m
The circumference of a circle is 18π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
A = 81π
Step-by-step explanation:
if circumference is 18π then diameter is 18 and radius is 9
A = πr²
A = 9²π or 81π
you are starting your own small business in Albuquerque. you borrow $10,000 from the bank at 9% rate for 5 years. find the interest you will pay on this loan.
Answer:
2,455
Step-by-step explanation:
Your monthly payment on a personal loan of $10,000 at a 9% interest rate over a 5-year term would be $208. You would pay $2,455 in total interest over the life of this loan.
Hope this helps! c:
A sofa regularly sells for $840. The sales price is$714. Find the percent decrease of the sale price from the regular price
Answer:
15%
Step-by-step explanation:
Divide. (– 6t + t^3 – 4) ÷ (t + 2)
a. t^2-8t+12
b. -t^2+3t+2
c.t^2-2t-2
d. -6t^2+13t-30
Answer:
t2 - 2t - 2 or C. - Hope it helps!
Remove brackets using the distributive law: -9(2r - 3s) *
Answer:
-18r + 27s
Step-by-step explanation:
You would multiply 2r and -3s by -9.
6. Move each vertex one more time to a different location.
What is the sum of the angle measures of the quadrilateral?
Answer:
360
Step-by-step explanation:
I got it right
HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry!
Answer:
1. 7.3
2. 33.3
3. 9.2
4.31.9
5.25.6
6.11
7.42°
8.64°
9.13°
10. 51°
Step-by-step explanation:
Hope this helps.
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y
Answer:
the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them
Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =
property . Simplify the expression 2(5+r) using the distributive property.
Answer:
2x5 = 10
1xr = 2r
Ans : 10+2r
Step-by-step explanation:
[tex]\huge\boxed{Hi\:there!}[/tex]
We are asked to simplify the given expression using the Distributive Property.
All we have to do is multiply 2 times 5 and r:
2(5+r)
10+2r
[tex]\huge\boxed{Hope\:it\:helps!}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?
Answer:
[tex]X=25.98cm[/tex]
Step-by-step explanation:
From the question we are told that:
Length of each side [tex]l=30cm[/tex]
Let the triangle be divide by two form a right angle triangle with base angles as [tex]90 \textdegree[/tex](angle of perpendicularity) and [tex]60 \textdegree[/tex] (angle on each vertices of an equilateral triangle)
Generally the equation for the Altitude X is mathematically given by
Trigonometric Rule
[tex]X=30sin60[/tex]
[tex]X=15\sqrt{3}[/tex]
[tex]X=25.98cm[/tex]
The area of a rectangle is 20 mm2. If the width is 4 mm, find the length?
Answer:
length = 5 mm
Step-by-step explanation:
area = width x length
20 mm² = 4 mm x length
divide both sides of the equation by 4 mm:
length = 5 mm
Answer:
lenght 5
Step-by-step explanation:
The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Answer:
6.3feet
Step-by-step explanation:
Given data
Radius= 4feet
The expression for the circumference of a circle is
C= 2πr
Substitute
C=2*3.142*4
C=25.136 feet
Also, a 90° arc is 1/4 of the circumference of a circle
Hence the length of the 90° arc is
=25.136/4
=6.284 feet
=6.3feet
Find the greatest common factor of these three expressions.
20w, 8w, and 28w?
Answer:
4w.
Step-by-step explanation:
jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get
Answer:
$21.50
Step-by-step explanation:
Calculate 10% of $20.00.
Answer:
$2
Step-by-step explanation:
Divide $20 by 10 for 10 percent.
Theo rolls a dice 306 times.
Work out an estimate for the number of times Theo rolls an even number
What’s 1 + 1?
A. 0
B. 0
C. 0
D. 2
Answer:
its D
Step-by-step explanation:
[tex]1 + 1 = 2 \\ [/tex]
Need help need help need help need help
Answer:
Step-by-step explanation:
I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7
PS = 3.7
Answer:
it is 6.9
Step-by-step explanation:
i took the test
HELP HEP HELP LAST ONE OMG
Select the correct answer.
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p below. The parameter b is an unknown positive base.
p(n)=1.7×b^n
Which statement is true about this situation?
A.
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
B.
If b = 1.02, the annual sales of smartphones will double in 2 years.
C.
If b = 1.45, the annual growth rate of the sales of smartphones is 145%.
D.
The average annual sales of smartphones increases by 1.7 million units every year.
Answer:
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
Step-by-step explanation:
The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
P ( n ) = 1.7 ( b )ⁿ
where , n is the number of years
And , P ( n ) is the annual sales of smartphones
Now , the value of b is the exponential growth factor
At the initial year , the number of smartphones sold is when n = 0
So , when n = 0
P ( 0 ) = 1.7 ( b )⁰
P ( 0 ) = 1.7 million units
Hence , the number of smartphones sold in initial year is 1.7 million units
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
#SPJ7
Emily bought 36 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought
Inches of fabric.
Answer:
36 yards = 1,296 inches.
Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answer I got was 384 and it was incorrect)
Answer:
64
Step-by-step explanation:
In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.
g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the rumor.
r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.
Substitute into equation: g6 = 2 x 26-1 = 2 x 25 = 2 x 32 = 64 Answer is 64.
can any one help me i really need it
Answer:
i got 722.5, Not sure if this is right but it's what I got
ill give brainliest
Length = 11
Width = 4
Height = 7
What is the vloume?
What is the surface area?
Answer:
volume = 308 units^3
surface area = 298 units^2
Someone Please help me
Please help out and explain the best you can !
Answer:
you need to rotate the shape to the right into the upper right hand section of the graph
Someone please help me
Answer:
Option 3 or Option 4.
Step-by-step explanation:
I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.
On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.
In case you only can answer with one, I'll say is option 3, hope it helps!
A $60 shirt is on sale for 30% off. How much is the shirt's sale price?
Answer:39?
Step-by-step explanation:
