Answer:
b²+3.5a+8.4b
Step-by-step explanation:
Given the expression
3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2
Expand
3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2
Collect the like terms
= 3b²-2b²+2a+1.5a+10.8b-2.4b
= b²+3.5a+8.4b
Hence the equivalent expression is b²+3.5a+8.4b
Find the exact perimeter of quadrilateral ABCD plotted below. These are the points:
A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)
Choose 1 answer:
A: 5 + √85 + 2√65
B: 5 + 2√85 + √65
C: √10 + 2√85 + √65
D: 19 + 2√65
The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The perimeter of the quadrilateral ABCD is plotted. These are the points:
A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)
The distance of AB
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]
The distance of BC
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of CD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of AD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]
Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.
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What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.
Correct method to factor this expression are:
Factor by grouping.
Factor out the GCF.
What is factorization?A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.
The equation becomes:
= 4x² - 26x + 30
= 2 (2x² - 13x + 15)
= 2 (2x² - 10x - 3x + 15)
= 2 {2x (x - 5) - 3 (x - 5)}
= 2 (2x - 3) (x - 5)
Thus, the two methods are the best choices to factor this express are:
Factor by grouping.
Factor out the GCF.
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Which expression is equivalent to 6(7x – 4)?
Group of answer choices
42x - 4
42x - 24
13x - 4
7x - 24
[tex]\huge\text{Hey there!}[/tex]
[tex]\bold{Equivalent\ to: 6(7x -4)}[/tex]
[tex]\bold{FIRST\ you\ have\ to\ DISTRIBUTE}[/tex]
[tex]\bold{Formula\downarrow}\\\bold{a(b+c)}\\\bold{a(b)+a(c)}\\\bold{=\underline{ab+ac}}[/tex]
[tex]\bold{6(7x-4)}\\\bold{6(7x)+6(-4)}\\\bold{6(7x)=42x}\\\bold{6(-4)=-24}\\\bold{\underline{42x-24}}\\\\\boxed{\boxed{\bold{Answer: \large{\text{\bf{B. 42x - 24}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pls Helpp meee Which one is it??? I will give u brainliest
Answer:
The answer will be the last one which means that will 2
Step-by-step explanation:
You need to find
(f.g)=2 or (f.g) (-2)=2
Lance is an enthusiastic cyclist.
He uses an app on his phone to track each of his cycling sessions.
Below is shown some information about his last three.
In Lance’s last three cycling sessions.
(i) What was the shortest distance cycled?
(ii) What was the longest time that he cycled for?
(iii) Work out Lance’s cycling time.
Answer:
17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds
Step-by-step explanation:
From the picture attached :
The shortest distance cycled :
17.25 < 25.80 < 27.42
Hence, shortest distance cycled is : 17.25
Shortest cycling time :
1:01:13 < 1:50:05 < 1:56:20
Hence, shortest distance cycled is : 1:01:13
Total cycling time:
1:01:13 + 1:50:05 + 1:56:20
1 + 1 + 1 = 3 hrs
01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes
13 + 05 + 20 = 38 seconds
Total cycling time :
(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Answer:
26 cm
Step-by-step explanation:
To find the area of a triangle, you must use the formula A=1/2xbxh.
For this triangle, the base is 13 and the height is 4. So, multiply the 13 by 4 to get a total of 52, and then divide by 2 to get your final answer of 26.
A. Suppose an angle measure is 55 degrees. What is the measure of its complementary angle? Draw the angle and label both measures.
B. Suppose an angle measure is 110 degrees. What is the measure of its supplementary angle? Draw the angle and label both measurements.
Answer:
A: 45 degrees
B: 70 degrees
Step-by-step explanation:
A: Complimentary angles add up to 90 90-55=45
B: Supplementary angles add up to 180 180-110=70
In ΔQRS, the measure of ∠S=90°, QR = 71 feet, and SQ = 50 feet. Find the measure of ∠R to the nearest degree.
Answer:44.767=45
Step-by-step explanation:
sinR=
71
50
R=\sin^{-1}(\frac{50}{71})
R=sin
−1
(
71
50
)
R=44.767\approx 45^{\circ}
R=44.767≈45
∘
Answer:
45
Step-by-step explanation:
Which expression is equivalent to 30c - 24d?
Answer:hmm 30c - 24d = 6d or 6c
Step-by-step explanation:
Can yall help me, please? I Will give brainilest, however u spell it
Which of these best describes π?
The ratio of the radius of a circle to its diameter
The radius of a circle times 3.14
The ratio of the circumference of a circle to its diameter
The ratio of the diameter of a circle to its radius
Answer:
B. The ratio of the circumference of a circle to its diameter.
Step-by-step explanation:
Pie is the circumstance of a circle.
1. Given A = πrl, make l the subject of the formula.
2. Given P =RT/V, make T the subject of the formula.
3. Given I =PRT/100, make T the subject of the formula.
4. Given V =πd^2h/4, make d the subject of the formula.
5. Given V = u + at, make t the subject of the formula.
6. Given T =A/R−r, make r the subject of the formula.
7. Given Q =R(B−T)/B, make B the subject of the formula.
8. Given P − mg =Mv^2/r, make:
a) v the subject of the formula.
b) m the subject of the formula.
9. Given m2 =a+b/a−b, make:
c) b the subject of the formula.
d) a the subject of the formula.
10. Given A =h(a+b)/2,express b as the subject of the formula.
11. R = √pm−q/q+cm, make m the subject of the formula.
12. Given n =1/d^2,make d the subject of the formula.
13. V = √a^2−x^2, make x the subject of the formula.
14. Given that P = r^2h, make h the subject of the formula.
15. If =brt/v−b, make r the subject of the formula.
Answer:
1. l= A/πr
2. T = PV/R
3. T = 100l/PR
5. t = v/u + a
Students plan to decorate the school's flagpole with strings of lights. One end of each string of lights will be attached to the top of the flagpole, and the other end will be attached to the ground. Flagpole String of lights String of lights 15 ft WOOOOO00000000000UUUUU QO0Q000 H8 ft 8 ft Which measurement is closest to the length of one string of lights in feet? (c) 16 ft A 17 ft D 23 ft B 13 ft
Answer:
the answer will be 17 ft
Step-by-step explanation:because if you use the pythagorean theorem you will get 17.
Answer:
C. 16
Step-by-step explanation:
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go to
positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
to values go to positive infinity.
Mark thes, and retum
and Exit
Next
Submit
Answer:
A. As the x-values go to positive infinity, the function's values go to negative infinity.
Step-by-step explanation:
If cos(t) =
−
1
2
and tan(t) < 0, find sin(t) and cos(-t)
Answer:
cos theta=-1/2
theta=cos-¹(-1/2)=120
tan theta=tan 120=-√3
sin theta=sin120=√3/2
cos(- theta)=cos theta=cos 120=-1/2
f(x) = 3x²+5, what is f(-3)
Answer:
32
Step-by-step explanation:
f(x) = 3x²+5
f(-3) = 3(-3)^2+5 = 27 + 5 = 32
Answer:
F(-3)=86
Step-by-step explanation:
3•(-3)^2 + 5
-9^2 +5
81+5=86
PLEASE HELP ME FOR THIS I NEED IT QUICK!!
The price of 6 packets of tea is same as the price of 4 packets of coffee. How many packets of tea are required to exchange 20 packets of coffee?
Answer:
The answer is 30
Step-by-step explanation:
Suppose the price per pack of tea is x and the price of coffee per pack is y
Then
[tex]6x = 4y \\ when \: 20y = 5 \times 4y = 5 \times 6x \\ = 30x[/tex]
We need 30 teabags to exchange for 20 coffee bags
Katelin is the pastry chef at the Brown Palace Hotel. She is making scones for their afternoon tea. Her recipe serves 6 people, but she needs to make
enough for 50 servings. The recipe calls for cup of sugar. How many cups of sugar will she need in all?
The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the provided instructions in the question,
The recipe is for 6 people in which 1 cup of sugar is required.
Total number of people = 50
Cup of sugar required for the recipe = 50/6 = 8.33 cups.
It means that 8.33 cups of sugar is required to make the recipe for 50 people.
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WILL MARK BRAINLIEST PLSS HELPPP.Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
Answer:
first choice
Step-by-step explanation:
Determine whether enough information is given to prove that the triangles are congruent
1. Yes
2. No
HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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PLS HELP MEEEEE REEEEEEE
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
heres your daily dos of math
y = -4 - (-11)
Answer:
The answer is 7............
Answer:
y = -4 - (-11)
Since all the variables and constants are together on each side, just solve as is.
y = -4 - (-11)
y = 7
Step-by-step explanation:
hope this helps:)
the difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.
Answer:
88/17
Step-by-step explanation:
5x · 7/8 - 3x · 3/4 = 11
35x/8 - 18x/8 = 17x/8
17x/8 = 11
17x = 88
x = 88/17
A grocery store sells 3 pounds of Granny Smith apples for $6.27. It sells 5 pounds of Red Delicious apples for $9.95. Which costs more per pound?
Can anyone help me with these questions please?
Step-by-step explanation:
I even wanted to help but I also don't know
Answer:
33.3
Step-by-step explanation:
use tan
tan(39) = opposite / adjacent
tan(39) = 27 / x
x = 27/ tan(39)
x = 33.3
hope this helps,
have a good day
Simplify numbers with units 1.
Answer:
1. 1 min : 2 min
2. 1 min : 4 min
3. 1 : 5
4. 1 : 2
5. 1 hr : 4 hrs
6. 7 p : 10 p
7. 5 : 2 : 3
8. 1 : 3
9. 3 : 5
Step-by-step explanation:
break it down to the lowest, which means to keep dividing it till it can't anymore.
hope that helps
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of −0.91 is calculated. What would this imply about the football team winning at home?
A The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
B The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.
C The scatter plot would not be represented by a line of best fit with a negative slope.
There is a weak correlation between the football team playing at home and winning.
D There is no causation and almost no correlation between the football team playing at home and winning.
Using correlation coefficients, it is found that the correct option is:
B The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.It also is the slope of the line of best fit.In this problem, the correlation coefficient of −0.91, meaning that there is a strong inverse relation between the location of the game and the team's winning percentage, that is, the team is more likely to win on the road, hence, option B is correct.
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Round 149,640 to the nearest thousand
Answer:
150,000
Step-by-step explanation:
Hope this helps!!
Joe is moving out of his apartment. The elevator can carry, at most, 2500 poundsHe has identical boxes that are each 40 pounds. If Joe weighs 160 pounds, how many boxes can he put on the elevator ?
Answer:
58
Step-by-step explanation:
first we want to write an equation and that equation would be
2500=40x+160 now we solve for x
step 1 subtract 160 from each side
2340=40x
then we divide each side by 40
x=58.5
because he cant bring half a box he can only bring 58
PLEASE HELP
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
The end behavior of a function describes the behavior of the graph of the function at the "ends" of the x-axis.
The given function is ⇒⇒⇒ f(x) = 2x³ – 26x – 24
the given equation has an odd degree = 3,
and a positive leading coefficient = +2
So, the end behavior of the given function
f(x) → +∞ as x→+∞
f(x) → -∞ as x→-∞