The dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as
Area = length * width
Given the following parameter
Area = .4y² - 49
Factorize the area
Area = (2y)² - 7²
Using the difference of two square
Area = (2y - 7)(2 y + 7)
Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units
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Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?
Answer:
About 1.625
Step-by-step explanation:
I believe it is 1.625
( 2^2 + b^2 = 5^2 )
A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?
Answer:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ
Step-by-step explanation:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ
What is an equation of the line that passes through the points (-3,-1) and (6,2)?
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (6,2)
[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]2-2=2+b-2\\0=b[/tex]
Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:
[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
I hope this helps!
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
A right rectangular prism and its dimensions are shown.
5 cm
5
Uw
2cm
3 cm
What is the volume, in cubic centimeters, of the rectangular prism?
O
O A. 1530
OB. 30
О С. 30.
20
OD. 42
Answer:
42
Step-by-step explanation:
15/4 x 2/1 x 28/5 = 840/20 = 42
simplify: x'2-9/x'2-3x
Answer:
this is the answer Hope's it helps
The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?
Answer:
y=65+ 30x
Step-by-step explanation:
Given data
Cost of rental= $65
Additional month= $30
The expression for the total cost for x months is
y=65+ 30x
What is the solution to the equation g(x+2) = 27? (1 point)
O x = 2.5
O x = 0.5
O x = -0.5
O x = -3.5
PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.
Answer:
[tex] k = 24 \sqrt{2} [/tex]
Step-by-step explanation:
Given is a 45° - 45° - 90° triangle.
According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.
[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)
24*[tex]\sqrt{2}[/tex] =k*1
24[tex]\sqrt{2}[/tex] =k
Please help me almost due!!!:):$:
Answer:
Our two selected points:
-3, 3
2, -4
-4 -(3) 7
_____ = - _____ = -7/5, D is your answer
2 - (-3) 5
[tex]if \: 8x = 16y \: then \: \frac{x}{y } is[/tex]
Answer is 2
If 8x = 16y
on rearranging question,
x/y = 16/8 = 2
which of the following numbers is greater than 7.03?
A:7.031
B: 7.030
C. 7.003
D. 7.0
Answer:
A:7.031
Step-by-step explanation:
both 7, but 7.031 has 031. 7.03 only has .03.
ASAP
-WILL MARK BRIANIST
Answer:
20%
Step-by-step explanation:
40-32=8
8/40=20%
This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.
Answer:
32 are eaten so we need to eliminate that from the total pieces.
40 - 32 = 8 are not eaten YET
8/40 since there are 8 out of 40(in total) that are not eaten
Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.
Brainliest is appreciated.
can someone explain, i'm literally sweating trying to figure it out
Answer:
54 degrees.
Step-by-step explanation:
So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).
Given this, set these values equal to each other to get the value of a.
d = a + b
2a = (a+10)+44
2a = a + 54
a = 54
The measure of the exterior angle is 54 degrees.
Addition and Subtraction Property
what is x + 5 + 7
Answer:
the answer to the equation is x + 12
Step-by-step explanation:
x + 5 + 7 = x + 12
x + 12
Answer:
x+12 it think im not sure
Step-by-step explanation:
add 5 and 7 which get 12
I need help immediately, you’ll receive brainlest if answered correctly!!!
Answer: 120
Step-by-step explanation:
Answer:
120°
Step-by-step explanation:
Another identity problem...
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=
9 2/3 – 4 1/5?
I don’t really know and umm yea …
Answer:
The answer is 188/15
Hope this helps!
Brainliest??
Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0
Answer:
I think it’s (4)
Step-by-step explanation:
Not sure but thats the only close answer I got
Tara bought one share of Apple stock in 2018 for $43.75. Then, three years later, she sold it for $136.76. How much money did she gain/lose with this stock? What was her return on investment?
Answer:
Gain= $93.01
ROI= 212.59%
Step-by-step explanation:
Given data
Cost of apple share in 2018 = $43.75
Sale price of apple share= $136.76
1. Her gain is
Gain= Sales price- Cost price
Gain = 136.76-43.75
Gain= $93.01
2. ROI is
ROI= Gain/cost*100
ROI= 93.01/43.75*100
ROI=2.1259*100
ROI= 212.59%
What is the slope of the line??
Answer:
The slope is -1/2
Step-by-step explanation:
slope is found by putting the rise over run, which is -2/4 or -1/2
2/3+1/4=
Pls help meeeeeeee
Answer:
11/12 should be the correct answer!
Step-by-step explanation:
Let's make the denominator the same!
Lcm of 3 and 4 is 12
sooo... multiply
2/3 x 4/4 = 8/12
1/4 x 3/3 = 3/12
8/12 + 3/12 = 11/12
I pull a block out 50 times, I pull a green block 32 times out of 200 picks how many times will I pull a green block?
Answer:
128 times
Step-by-step explanation:
32 / 50 = 0.64
0.64 * 200 = 128
128 times out of 200
Find the value of x. Please Helppp
Answer:
x = 18
Step-by-step explanation:
Both angles together make 180, they are essentially supplementary angles thou not on the same line.
Set your formula up as
81 + 5x + 9 = 180
5x = 180 - 81 - 9
5x = 90
x = 90/5
x = 18
................helpppp.......................
Answer:
36 cm³
Step-by-step explanation:
V = lwh
you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12
the remaining portion is 2 × 2 × 6 which gives a volume of 24
12 + 24 = 36 cm³
Solve this equation: m - 3.6 = 13.8
Answer:
m= 17.4
Step-by-step explanation:
Solve for c.
53= 7 c +11
10
Answer:
c=6
Step-by-step explanation:
7c+11=53
you subtract 11 from both sides giving you
7c=42
then divide both sides by 7
c=6
у varies inversely as x, and y = 45 when x = 7
I’ll mark as brainliest.
Answer:
7 + 7 = 14(given lengths)
34(total length) - 14(given length) = 20
20 divided by 2(2 missing slots) = 10
Answer:
10 in
Step-by-step explanation:
formula for perimeter:2 (l + b)
perimeter=34 in
2 ( l + 7 ) = 34
2l + 14 = 34
2l = 34 - 14
l = 20 ÷ 2
l = 10 in
what is 7 copies of 1/10
Answer:
7/10
Step-by-step explanation:
1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10
Answer:
7/10
Step-by-step explanation:
i dont really know how i can explain it :(