let's firstly convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{4}{8}} \implies \cfrac{1\cdot 8+4}{8} \implies \stackrel{improper}{\cfrac{12}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}+\cfrac{12}{8}\implies \cfrac{(4)7~~ + ~~(1)12}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{28+12}{8}\implies \cfrac{30}{8}\implies \cfrac{15}{4}\implies 3\frac{3}{4}[/tex]
Answer: 5
Step-by-step explanation:
3 1/2 + 1 4/8
= 7/2 + 12/8
= 28/8 + 12/8
= 40/8
= 5
25a² -4b²+28bc-49c² factorize
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
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Which pair of angles is congruent?
Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,12. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=3,1
Step-by-step explanation:
Hope it is helpful.....
Answer:
x = 1
Step-by-step explanation:
Solving the equations
4x² - 12x + 4 = - 4 ( add 4 to both sides )
4x² - 12x + 8 = 0 ( divide terms by 4 )
x² - 3x + 2 = 0 ← in standard form
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
-------------------------------------
- x² + 4x - 3 = 0 ( multiply through by - 1 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
The solution that is true for both equations is x = 1
giving brainliest to whoever answers correctly, help please!!!
Answer:
Kyle is correct, the quadrilaterals are not similarStep-by-step explanation:
Measure the corresponding sides and verify if the ratios are same or not.
Corresponding sides:
AB and LM, BC and MN, CD and NO, AD and LOThe measures, using coorinates and the distance formula:
AB = √(2-1)² + (4-3)² = √2LM = √(16-14)² + (4-6)² = √8 = 2√2BC = √(5-2)²+(5-4)² = √10MN = √(23-16)²+(2-4)² = √53We can see the ratios of the two pairs are not same:
AB/LM = 1/2BC/MN = √10/531/2 ≠ √10/53We can state that Kyle is correct
Please can someone help thanks :)
Answer:
x=124
Step-by-step explanation:
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola
Answer:
the answer is A
Step-by-step explanation:
The parameters represent a circle with a radius of 5 units, centered at (-7,9) and the equation of the circle is (x + 7)² + (y - 9)² = 5².
Deducing the figure from the parameters:The given equations are:
x = 5cos(t) - 7, and
y = 5sin(t) + 9
if we rearrange the above equations we get:
(x + 7) = 5cos(t), and
(y - 9) = 5sin(t)
Taking square of both equation we get:
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Now, adding the equations we get:
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
This is an equation of a circle with a radius of 5 units and the center at (-7,9)
since, the equation of a circle with radius R units and centered at (a,b) is given by:
(x -a)² + (y - b)² = R²
Learn more about equation of a circle:
https://brainly.com/question/10618691?referrer=searchResults
Please help due today
Answer:
23 = 1
46 = 2
92 = 4
138 = 6
Step-by-step explanation:
hope this helps
Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units
Step-by-step explanation:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer:
g = 6 units
Step-by-step explanation:
In the given right angled triangle , rest 2 angles are same i.e. 45° each.
Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).
⇒ α = 45°
So ,
[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]
[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex] ( [tex]\alpha = 45[/tex] )
[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex] (∵ [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )
[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]
uhh- well uh i need help and it would be lovely if ya’ll helped ty very much
Answer:
x + 3 = y
Step-by-step explanation:
Hope that helps!
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent
Answer:
$38.48
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
Find the inverse of each function. f (x) = 2x − 4
4. Use SUBSTITUTION to solve the system. x= y + 5 2y + x = -4
Answer:
if I I just want free point so I am
Jason buys a Play Station 5 from Amazon for $500 and wants to sell it at a 50% markup. How much does Jason want to sell the PS5 for?
y=-1/2-16K+10 in vertex form
Step-by-step explanation:
Let's solve for k.
y=
−1
2
−16k+10
Step 1: Flip the equation.
−16k+
19
2
=y
Step 2: Add (-19)/2 to both sides.
−16k+
19
2
+
−19
2
=y+
−19
2
−16k=y+
−19
2
Step 3: Divide both sides by -16.
−16k
−16
=
y+
−19
2
−16
k=
−1
16
y+
19
32
Answer:
k=
−1
16
y+
19
32
Question
Identify the transformation that was applied to this letter.
y
R
B
A. Reflection over the x-axis
B. Rotation about the origin
C. Reflection over the yaxis
D. Translation
Answer: Your answer would be A :)
Step-by-step explanation:
Answer:A
Step-by-step explanation:
I took the quiz apeex
ab=
round to the nearest hundredth
Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.
Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).
Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)
Answer:
Slope = - 20; intercept, c = 100
y = - 20x
Step-by-step explanation:
The slope (s) = Rise / Run
using the pairs : (0, 100) and (5, 0)
x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0
Rise = (y2 - y1) = (0 - 100) = - 100
Run = (x2 - x1) = (5 - 0) = 5
Slope = - 100 / 5
Slope = - 20
Using the slope intercept relation :
y = mx + c
m = slope ; c = intercept
y = - 20x + c
Using the point (4, 20) to find c
20 = - 20(4) + c
20 = - 80 + c
20 + 80 = c
100 = c
Hence, c = 100
Slope, m = number of songs downloaded per week
c = Total number songs at week 0
The equation expressed in slope intercept form:
General form:
y = mx + c
m = - 20 ; c = 100
y = - 20x + 100
i really need help please i am failing amth
Answer:
The correct answer is 95 degree........
Answer:variable is 75
Step-by-step explanation:
Helppppppppppppppppppp
Answer:
1.base
2.Quitiont
3.subtract
4.product
5 multiply the exopnent.
Which postulate proves the two
triangles are congruent
A. SAS
B. ASA
C. SSS
D. HL
Answer:
SSS
Step-by-step explanation:
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal tank. Hose B takes 30 min to fill a 240-gal tank.
Which hose fills at a faster rate?
Choose one option from each drop-down menu to answer the question.
Hose A fills at a rate of Choose... 0.1, 10, 144, 160 gal per min.
Hose B fills at a rate of Choose... 0.125, 8, 210, 240 gal per min.
Hose Choose... A or B fills at a faster rate.
Answer:
Hose A fills at a rate of 10 gal per min
Hose B fills at a rate of 8 gal per min
Hose B fills at a faster rate
Step-by-step explanation:
Answer:
Hose A=10 gal per min
Hose B=8 gal per min
Hose A is faster
Step-by-step explanation:
A) 160 gallon/16 minutes=10 gallons per minute
B) 240 gallon/30 minutes=8 gallons per minute
Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.
Answer:
! will edit once i get a response !
Step-by-step explanation:
do you have a picture? if so, please upload it
Math has me dead. Looks simple but it really isnt that easy.
Answer:
I am pretty sure the answer is A. I really hope this helps
Step-by-step explanation:
I dont have time to explain it im sorry my next class starts in 3 mins
Answer:A
Step-by-step explanation:
The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.
Answer:
angles
1x
3x
5x
1x +3x +5x = 180 (ASP)
9x = 180
x= 180÷9
x= 20
1x= 20
3x= 60
5x=100
angles are 20°, 60°, 100°
Step-by-step explanation:
hope it helps u
In Vicky's rose garden, 2 of the rose bushes are blooming and the other 17 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the total number of bushes?
Answer:
2 : 19
Step-by-step explanation:
We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.
This means 2 out of 19 rose bushes are blooming.
Hope this helps! Have a great day!
Sunning itself on a cliff 5.8 feet above sea level. The iguana dove into the water from the cliff. When the iguana reached the deepest part of its dive, its total change in elevation was 8.3 feet. What was the iguana's position relative to sea level at the deepest part of its dive?
Answer:
deepest part of dive is 2.5 feets below sea level ;
-2.5 feets
Step-by-step explanation:
Given :
Initial Position = 5.8 feets above sea level = +5.8
Deepest part of dive = x
Change in elevation between initial position and deepest part of dive = 8.3 feets
Position relative to sea level at deepest part of dive :
x = change in elevation - Initial position
x = 8.3 feets - 5.8 feets
x = 2.5 feets
Hence, deepest part of dive is 2.5 feets below sea level