The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0
How to simplify Algebraic Equations?
We want to simplify the algebraic Equation;
(4x - 7)² + 16 = 40x - 70
Factorize right hand side to get;
(4x - 7)² + 16 = 10(4x - 7)
If p = 4x - 7, then we have;
p² + 16 = 10p
Using subtraction property of equality gives;
p² + 16 - 10p = 10p - 10p
p² + 16 - 10p = 0
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I'll mark as Brainliest, Please answer ASAP, Ihave MCAS tomorrow. How could this be true?? Please Explain.
Answer:
See below
Step-by-step explanation:
The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0
so 0 = 42-3.5 h
3.5 h = 42
h = 12 and min is h = 0 ( when there are 42 loaves to start)
So:
0≤ h ≤ 12
in the figure, line segment AB, is tangent to the circle at point A
Answer:
AB = 12 in
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )
AB = [tex]\sqrt{144}[/tex] = 12
Answer:
AB = 12 in
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Given:
Secant segment = BDExternal secant segment = BCTangent segment = AB[tex]\sf AB^2=BD \cdot BC[/tex]
[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]
[tex]\implies \sf AB^2=18 \cdot 8[/tex]
[tex]\implies \sf AB^2=144[/tex]
[tex]\implies \sf AB=\pm\sqrt{144}[/tex]
[tex]\implies \sf AB=\pm 12[/tex]
As distance is positive, AB = 12 in
I'll give brainiest to whoever answers both of these correctly
The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
1)Of the people surveyed, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2) Of the elementary school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
Answer:
1) 45%
2) 24%
Step-by-step explanation:
1) Total number of people surveyed = 26 + 84 + 72 + 34 = 216
number of people who own a smartphone = 26 + 72 = 98
∴ relative frequency = [tex]\frac{98}{216}[/tex] ˣ 100 = 45%
2) Total number of elementary school students = 26 + 84 = 110
∴ relative frequency = [tex]\frac{26}{110}[/tex] ˣ 100 = 24%
Hope this helps!
can I get help please
Answer:
s=55°
Step-by-step explanation:
sum of angles of the inside pentagon is 540°
2s+2s+1s+130°+135° =540°
5s+265°=540°
5s=540°-265°
5s=275°
5s/5=275°/5
s=55°
The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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this composite figure is made up of three similar shapes. what is the area of the figure?
Answer:
D : 66
Step-by-step explanation:
separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go
also to get the area of a triangle you gotta add both sides then divide by 2.
pls help pls help pls help
Answer:
three four five
u welcome glam rock freddy
4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet
Answer:
254.34 square feet
Step-by-step explanation:
Area of a circle: πr²
Given:
π = 3.14r (radius) = 9 ftSubstitute the given values into the formula:
A = (3.14)(9)²
A = (3.14)(81)
A = 254.34 ft²
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Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need
Answer:
480 tiles
Step-by-step explanation:
First we will find the area of Nico's backyard
Formula for area of a rectangle is length * width
24ft * 20ft = 480ft²
This means Nico will need 480 1ft² tiles
That is your answer
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Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)
.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which of the following ordered pairs are y-intercepts?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
All y-intercepts have an x-coordinate of 0.
So a y-intercept looks like this:-
[tex]\sf{(0,b)}[/tex]
Where:-
b - y-intercept
So we conclude that the right options are:-
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)
Good luck.
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whats the answer to this. In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth.
The length of arc JL is 24.46 units see attachment for diagram.
What is an arc?An arc is a part of the circumference of a circle that meets two radii of a circle to form a sector.
Analysis:
From bigger triangle, if we bisect 144, the line meets JL at 90°.
To find AL,
sin 72 = AL/6
AL = 6 sin 72 = 5.71
To find the angle at O
∠O = 2∠K ( twice angle at circumference is equal to angle at center)
∠O = 2 (144) = 288°
For smaller right-angled triangle,
sin 144 = AL/OL
sin 144 = 5.71/OL
OL = radius of circle = 5.71/0.587 = 9.73 unit
length of arc JL = ∅/360 x 2πr
= 144/360 x 2 x 3.142 x 9.73 = 24.46 units
In conclusion, the length of arc JL is 24.46 units
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What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6
There is a pair of parallel sides in the following shape units^2
Parallel lines are the top & bottom lines - labelled 10 & 2
A = 0.5(2+10) x 2
=12 units^2
Hope this helps!
2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?
if there are 20 balloons and 5 pop how many are left
Lance rides his bike at an average speed of 32 mph.
If he has 3072 miles to ride, how many hours will it take him?
How many days is that?
Answer:
96 days. Divide 3072 by 32 and you get 96.
A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?
Answer:
i think its b sorry if im wrong
Step-by-step explanation:
A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. elena calculated the volume of the pyramid as shown. v = 1 3 bh v = 1 3 (80)(15) v = 400 in.3 what was her mistake? elena used the wrong units. elena incorrectly used the slant height instead of the height. elena multiplied incorrectly. elena should not have multiplied by one third.
Answer:
Elena incorrectly used the slant height instead of the height.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i got it right
Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.
Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
central angle is a right angle. Find x.
Answer:
It's 90° degrees .
Explanation :
A right angle meseaures correct 90° degrees .
Is the median or mean a more appropriate choice for describing the "centers" of these two distributions?
Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4
F(0)=4
F(0)= -4
F(4)=0
F(-4)=0
find the value of n.
8 × 2^3n = 2^12
6th grade math help me
find the value of n.
8 × 2^3n = 2^12
Answer :-n = 3
Solution :-[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]
[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]
[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]
[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]
Equating powers since bases are same.
[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]
[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]
[tex]\sf\rightarrow 3n = 9[/tex]
Divide both sides by 3.
[tex]\sf\rightarrow n = 3[/tex]
Thus the value of n is 3 .
Other than the unit Celsius, Fahrenheit is another unit of measure for temperature. The
temperature Y, in degree Fahrenheit (°F), is equal to 32 more than of the temperature T,
in degree Celsius (°C).
Find a formula to express T in terms of Y.
Answer:
Y = 32 + T
Step-by-step explanation:
Given:
- temperature Y, in degree Fahrenheit (°F)
- temperature T, in degree Celsius (°C)
- Y equal to 32 more than of the temperature T
Y = 32 (more means add) + temperature T
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)
Answer:
Step-by-step explanation:
four points are always complanar if
HELPPP WITH MATH HOMEWORKKKK PLSSSS
Answer:
b, d, e
Step-by-step explanation:
Answer:
B, D, E
Read explanation... it always helps...
Step-by-step explanation:
alrighty, we know that anything positive multiplied by anything negative results in a negative number....
with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19
i hope this helps!!!
simplify -3sqrt84x^3
answer asap please
Answer to your question
-6x sqrt21x
Need answers for this
Answer:
Step-by-step explanation:
Mean, Median,mode[tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]
[tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]
Median:Arrange the numbers in ascending order.
176 , 195 , 212 , 234 , 236 , 243 , 247, 248
Number of data is even. So, median will be the average of 234 and 236
Median = average of the middle two terms.
[tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]
Mode is the data which is occurring more number of times.
Range = maximum - minimum
= 248 - 176
= 72
Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement
If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Two lines AC and BD are intersecting each other at point E.
The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).
Then the measure of angle ∠AEB will be
We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.
∠AEB = ∠CED
7x - 5 = 2 (4x - 8)
7x - 5 = 8x - 16
16 - 5 = 8x - 7x
x = 11
Then the measure of angle ∠AEB will be
∠AEB = 7x - 5
∠AEB = 7 (11) - 5
∠AEB = 77 - 5
∠AEB = 72°
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