Factor 25x^2-64
(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)
Answer:
Given Equation
[tex] \bf \: 25 {x}^{2} - 64[/tex]
we have to factorise the given equation .
We will use the following identity here
(a²- b²) = (a + b) ( a - b)Let's factorise it
[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]
Therefore,
Required answer is ( 5x+8)(5x-8)So, your answer is (5x+8) ( 5x-8)
what is the rectangular form of the parametric equations x = 4 cos t and y = 5 sint, where
Let's use some identities to help us solve
[tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]
We know --> [tex]sin^2(t)+cos^2(t) = 1[/tex]
So:
[tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]
Thus the choice is the second choice
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given two of the equations which can be rewritten as shown below,
x = 4 cos(t)
x/4 = cos(t)
Squaring both sides of the equation,
x²/16 = cos²(t)
y = 5 sin(t)
y/5 = sin(t)
Squaring both sides of the equation,
y²/25 = sin(t)
y²/25 = sin²(t)
Adding the two of the given equations we will get,
(x²/16) + (y²/25) = cos²(t) + sin²(t)
(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1
The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.
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PLS HELP ME ILL GIVE YOU BRAINIEST
I have no idea what to do, help :’)
Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!
Answer: x=52
Step-by-step explanation:
uh i just knew
Compare by finding the LCM of denominator 3/8 and 3/4
LCM = 8
[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]
Step-by-step explanation:Finding the LCM is useful to compare the size of 2 different fractions.
LCM
First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.
Comparing
Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.
100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16
Answer:
A.15.21
Step-by-step explanation:
In rounding of numbers when the next number is greater than 5 u round it on next number by adding one
!!20 points and Brainliest please help!!!
Which of the following could be factored by grouping?
A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd
D) ac + ad + bc + bd
Hope it helps :)
Answer:
D) ac + ad + bc + bd
Step-by-step explanation:
Help me please I would really appreciate it
Adjacent angles in parallelograms are supplementary angles thus :
[tex]x + 130 = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 280 more hits than Ricky. How many hits did each player have?
Answer:
Ricky it is 1,202
And for Pedro 1202 + 276 = 1478
Step-by-step explanation:
The computation is shown below:
Let us assume the ricky be x,
So, pedro be x + 276
Now the equation is,
x + x + 276 = 2680
2x + 276 = 2680
2x = 2680-276
2x = 2404
x = 1,202
For Ricky it is 1,202
And for Pedro 1202 + 276=1478
Solve the system of equations. 3 x + 4 y = − 23 x = 3 y + 1 3x+4y=−23 x=3y+1
x=
Answer:
x=−5
y=−2
Step-by-step explanation:
{3x+4y=-23}{x=3y+1}
x=−5
y=−2
What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answer:
the answer is 10% if it is simple interest you're talking about.
In triangle ABC, the measure of angle A is90, the measure of angle B 45 and measure of angle C 45 what is the combined measure of the three angles?
180.....,...........
Step-by-step explanation:
angle A + angle B + angle C = 90+45+45
= 180
What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east
Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:
9.2 units, 49.4° north of west
How do we find the vector, and what is it's magnitude?To find them, we subtract the end coordinate by the start coordinate, hence:
RS = S - R = (-2, 1) - (4,-6) = (-6,7).
The magnitude is given by the square root of the sum of the squares of each coordinate, hence:
[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]
Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:
9.2 units, 49.4° north of west
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Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?
Answer:
2.65
Step-by-step explanation:
5.60-2.95 = the sum of the money left.
A store sells a package of 8 water bottles for $7.20.
What is the price per water bottle?
Answer:
$0.90
Step-by-step explanation:
$7.20 divided by 8 is 0.9.
Answer:
.90
8 divided by 7.20 is 1.11
1.11 times 7.20 = 8
Step-by-step explanation:
i will marke brainliest. what is If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Heres a hint think about how many words are in the number when it is in word form
Answer:
3Step-by-step explanation:
Count the number of letters
1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 lettersChange integers to strings and put them
1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5Hence answer is 3
What is the answer to this math problem?
Answer:
7
Step-by-step explanation:
[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow 14\div 2[/tex]
[tex]\\ \rm\Rrightarrow 7[/tex]
Done!
Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.
Zach runs with 14.31 feet per second speed and faster than other runners.
What is Speed?Speed is measured as the ratio of distance to the time in which the distance was covered
Given that Frank runs 9 feet per second.
Speed=Distance /time
=9 feet/ 1 second
=9 feet per second.
Tony runs 299 feet in 34 seconds
Speed=299/34
=8.794 feet per second.
Zach runs 1 mile in 396 seconds.
We know that 1 mile =5280 feet
Speed=5280/369
=14.31 feet per second.
Will runs 675 feet in 1 minute
1 minute is 60 seconds
Speed=675/60
=11.25 feet per second.
Hence, Zach runs with 14.31 feet per second speed and faster than other runners.
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How is the change of base formula used in solving logarithmic equations?
Answer:
See below
Step-by-step explanation:
The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.
How do solve a system of equations
Answer:
you have 3 way which one you want comparison supstitution or the third one
multiply (2a+3)(2a-3)
Answer:
4a²-9
Step-by-step explanation:
(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}
= 4a²-9
answer asap-30 points
Find the measure of angle R.
A- 45
B- 90
C- 60
D- 30
A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? round to the thousandths place
a) 128.558 pounds
b) 133.388 pounds
c) 149.023 pounds
d) 153.208 pounds
The force needed to keep the cart at rest is 149.022 pounds
Force and MotionGiven Data
Weight of cart = 200 poundsAngle = 40 degreeThe force needed to keep the cart at rest is the vertical component of the resultant force, hence we have
Fy = Mg sin θ
Substituting our given data we have
Fy = 200 sin 40
Fy = 200 *0.74511
Fy = 149.022 pounds
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Answer:
128.558
Step-by-step explanation:
A mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number
Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
a (initial value) = 1300 mb = 95% = 0.95x = 8 millenniaSubstituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
A circle has an area of 155 square feet. What is the approximate radius of the approximate radius of the circle?
Answer:
7.02ft
Step-by-step explanation:
Is 336 − –5,083 positive or negative?
Answer:
positive
Step-by-step explanation:
if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.
Oscar's spinner has scores from 1 to 4. The table shows the probabilities of scores 1, 2 and 3
1=0.1
2=0.5
3.0.1
4=?
Work out 4
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?
Answer:
13/6
No explanation sorry :(