Maths assignment
y^2-36
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a ^2 − b ^2 = ( a + b ) ( a − b )
where
a = y
and
b = 6
( y + 6 ) ( y − 6 )
I need some help with this one. Please give it a go! Thank you for your time.
Answer:
Step-by-step explanation:
Hello there
I'm also a student so I'm not 100% sure on this one, but I think I know.
Usually when you have functions you just replace the letters for their value:
f = 11x
g = x² - 6x + 3
h = -x + 4
Th exercise is asking for (g * h) (x)
Since there are parenthesis, here's what we have:
[(x² - 6x + 3)(-x + 4)](x)
Use the left side of the equation:
[(x² - 6x + 3)(-x + 4)](x)
And solve it:
-x³ + 6x² -3x + 4x² - 24x + 12
That's equal to
-x³ + 10x² -27x + 12
Multiply all that by that x on the left:
-x^4 + 10x³ -27x² + 12x
No idea if that's right so please tell me
Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]
9514 1404 393
Answer:
a) 230
b) 300
c) 2×10^-2
d) 1.1×10^-6
Step-by-step explanation:
a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230
b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300
c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2
d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6
__
YMMV depending on how you do the rounding and approximate multiplication and division.
The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)
Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
solve x in the diagram below
Answer:
60
Step-by-step explanation:
180-100 = 80
80-20 = 60
Express tan J as a fraction in simplest terms
Answer:
3/4
Step-by-step explanation:
tangent is opp/ad
so that is 15/20, or 3/4
A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *
Answer:
1506meters
Step-by-step explanation:
1hour-60minutes
which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes
50.2-1min
x -30min
x=50.2×30
x=1506meters
What is the difference between calculating the area and calculating the perimeter of a rectangle?
Answer:
For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.
Step-by-step explanation:
is 4393 is divisible by which number
Answer:
4393 is divisible by 1 ,23 and 191
Answer:
the answer is 23
Step-by-step explanation:
I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
A house plan Is drawn to a scale 1cm to 2m. What is the length of a window 2.5cm long on the plan?
1cm = 2m
=> 1cm = 200cm
2.5cm = 2.5 × 200cm = 500 cm = 5m
So, the length of window is 500cm or 5m.
Estimate the difference 5,290-436
Answer:
it will be
=> 4854
Step-by-step explanation:
hope it's helpful for you xd
Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
The question is incomplete. The complete question is :
Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
Answer:
67.5 [tex]mm^3[/tex]
Step-by-step explanation:
Given that :
Cylinder A and cylinder B are similar.
Let volume of cylinder A = 20 [tex]mm^3[/tex]
We know the volume of a cylinder is given by V = [tex]$\pi r^2 h$[/tex]
where, r is the radius of the cylinder
h is the height of the cylinder
We have to find the scale factor.
The length scale factor is = [tex]$\frac{6}{4}$[/tex]
[tex]$=\frac{3}{2}$[/tex]
Area scale factor [tex]$=\left(\frac{3}{2}\right)^2$[/tex]
[tex]$=\frac{9}{4}$[/tex]
∴ Volume scale factor [tex]$=\left(\frac{3}{2}\right)^3$[/tex]
[tex]$=\frac{27}{8}$[/tex]
Therefore, the volume of cylinder B is [tex]$=20 \times \frac{27}{8}$[/tex]
= 67.5 [tex]mm^3[/tex]
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Step-by-step explanation:
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]
Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?
Step-by-step explanation:
Find the perimeter of ΔNOP. Round your answer to nearest tenth if necessary. Figures are not necessarily drawn to scale
Answer:
P = 157.5 units
Step-by-step explanation:
For this graph, mark the statements that are true.
A. The domain is the set of all real
numbers.
B. The range is the set of all real
numbers greater than or equal to
zero.
C. The domain is the set of all real
numbers greater than or equal to
zero.
D. The range is the set of all real numbers.
Based on the graph, the following statements are true:
A. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.
As a result, the right responses are A and D.
To know more about graph:
https://brainly.com/question/17267403
#SPJ2
Find the slope of the line that passes through (7, -1) and (15,9)
Answer:
5/4
Step-by-step explanation:
slope = rise/run
slope=y2-y1/x2-x1
slope=9-(-1)/15-7=10/8=5/4
So the answer is 5/4.
Answer:
5/ 4
Step-by-step explanation:
slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.
therefore,
[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]
as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.
Plz help me.
I WILL GIVE BRAINLY
Answer:
p = T - a - b
Step-by-step explanation:
T = a + p + b
p = T - a - b
Two cylinders are similar. The surface
area of one is 64 cm2, and the surface
area of the other is 81 cm2. Find the
scale factor between them.
Enter the smaller number first.
scale factor =
[?]:[]
13. Evaluate the function rule for the given value.
y = 4.2X for x = -6
Btw the x is the small exponent
Answer:
-25.2
Step-by-step explanation:
by replacing -6 on the place of x we get4.2(-6)=-25.2
given the diagram, what is m
Answer:
∠ ADC = 145°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, then
∠ ADE = 70°
∠ EDC = 75°
∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°
WILL GIVE BRAINLIEST!!!
CR and DS are perpendiculars dropped from AB to PQ, and AB is perpendicular to CR and DS. If CR = DS, which statement must be true?
A. m
B. m
C. m
D. m
E. m
Answer:
The answer is C.) m∠RCD = m∠ACD ÷ 2
RCD = ACD divided by two.
RCD = 90 degrees
ACD ÷2 = 180÷2 = 90 degrees.
So, your answer is C.
Hope this helped. Have a grey day!
Answer:
C. m∠RCD = m∠ACD ÷ 2
Hope this helps!
Step-by-step explanation:
I got it right.
Write an
equivalent expression by distributing the
"---"
sign outside the parentheses:
-(3.9d + 10)
Answer of this question
-3.9d-10find the period of the graph shown below
Answer:
Step-by-step explanation:
The period of a trig function tells you how much space is taken up by one "up-down-up" of the graph, which is a revolution. Because half of this graph takes place in a span of 2π, then the whole graph will span 4π.
the length of each side of a nonagon is 3.25cm the perimeter of the nonagon is?
a,12.25
b,29.25m
c,29.25
d,none
Answer:
,29.25m
Step-by-step explanation:
maybe answer is correct
Answer: B. 29.25 cm
Step-by-step explanation:
Given
The prefix nona- came from Latin meaning "nineth"
Thus, nonagon has 9 sides
Solve
1 side = 3.25 cm
9 sides = 3.25 × 9 = 29.25 cm
Hope this helps!! :)
Please let me know if you have any question
Plz help as quick as possible!
average =65%
average = (60+70)/(100+100)*100
= 130/200*100
= 65%
yeaaaaaaaaaa help plzzzzzzzzzz
Answer:
See Explanation
Step-by-step explanation:
Given
The attached graph
Required
Point on the line
The options are not given. So, I will provide general answers.
To do this, we simply write out the coordinates that lie on the line.
Some of them are:
[tex](0.5,3)[/tex]
[tex](1.25,8)[/tex]
[tex](1.5,10)[/tex]
Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Given:
3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)
Open parenthesis
= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3
Collect like terms
= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3
= 4n⁴ + 12n³ - 17n² - 3
Number 1 term is 4n²
Number 2 term is 12n³
Number 3 term is -17n³
Number 4 term is -3
The highest degree of the polynomial is 4th degree
Therefore,
The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is
4th degree polynomial with 4 terms
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Helppppp and explain pls and thankyouuu
Answer:
x=1
y= -1
z=2
Step-by-step explanation:
x+y+z=2 and x-y-2z=6
if z=2 then
x+y+2=2 and x-y+4=6
and these become
x+y=0 and x-y=2
usign linear cancellation method we get
2x=2
dividing both sides by 2 we get
x=1
then going back to one of the original equations and plugging x=1 and z=2 we get
1+y+2=2
solving for y we get
y= -1
