Answer:
(x - y + 3)(x + y - 7)
Step-by-step explanation:
x^2 - 4x - 21 + 10y - y^2
= x^2 - y^2 - 4x -21 + 10y
= (x - y)(x + y) - 4x + 10y - 21 Now -21 = + 3 * -7 and +3x - 7x =- 4x so we try:
= (x - y + 3)(x + y - 7)
- this expands to the original expression.
Answer:
(x+y-7)(x-y+3) is your answer
Step-by-step explanation:
x²-4x-21+10y-y²
x²-4x+2²-2²-21+10y-y²
(x-2)²-(y2-10y+25)
(x-2)²-(y-5)²
(x-2+y-5)+x-2-y+5)
(x+y-7)(x-y+3)
Solve for x
x to the power of 2 = 1/4
Simplify the expression: y9 * y-2
Answer:
[tex]y^7[/tex]
Step-by-step explanation:
If we want to simplify the expression [tex]y^9 \cdot y^{-2}[/tex], we have to note that exponent rules state that [tex]x^a \cdot x^b = x^{a+b}[/tex].
This means that if we add the exponents, that will be what we raise y to the power of.
[tex]9 + -2 = 9-2 = 7[/tex]
So [tex]y^7[/tex].
Hope this helped!
The closest perfect square less than 2592
Connor bought a baseball card eight years ago that has depreciated by $120 since he purchased it. Find the average yearly change in value of the card.
Answer:
The average yearly change in the value of the card is $15/year
Step-by-step explanation:
Here in this question, we are interested in calculating the average yearly change in the value of the card.
From the question, we can see that the value of the baseball card has depreciated by $120, thus we simply want to calculate the average yearly charge in the card value.
Mathematically, that would be ;
the total depreciation value/ number of years
From the question, the total depreciation value is $120 while the number of years is 8
Thus; the average yearly change in value of the card = 120/8 = $15/year
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?
Answer:
9km
Step-by-step explanation:
If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).
This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).
Hope this helped!
Answer:
B
Step-by-step explanation:
9 km
find the light of the third side
Answer:
I'm not sure if this is what your looking for but the answer should be √11
Step-by-step explanation:
its in the picture....
please do give me brainliest if i was able to help you.
thank you and have a good day
Which expressions are equivalent to 4(4a + 5) ? 3 answers
Answer:
16a+20
Step-by-step explanation:
4(4a+5) -----Distributive property
16a+20
Hope this helps ;) ❤❤❤
Find the area 10yd, 4yd, 10yd, 13yd and 8yd
Answer:
41,600yd's is the area....
what is 1/8 plus 4/5
Someone help please! I really need to finish this today.
Answer:
m∠E = 43°Step-by-step explanation:
AB║CD ⇒ m∠AGH = m∠CHF = 119° {corresponding angles}
m∠BGE = m∠AGH = 119° {vertical angles}
m∠BGE + m∠B + m∠E = 180° {sum of angles in triangle}
119° + 18° + m∠E = 180°
m∠E = 180° - 137° = 43°
Solve the equation 8x
- 5 = 7.
Answer:
[tex]8x - 5 = 7[/tex]
[tex]8x = 7 + 5[/tex]
[tex]8x = 12[/tex]
[tex]x = \frac{12}{8} [/tex]
[tex]x = \frac{3}{2 } \: or \: 1.5[/tex]
A farmland is 30cm long and 15cm wild what is the area of the farmland
Step-by-step explanation:
length(l)= 30cm
Breadth(b)=15cm
Area=l×b
=30×15
=450cm^2
it is 30 then 15 cm long its mean 45 answer
Heather is putting together a square bulletin board for her new room, and the area of the bulletin board is 196 cm2. What is the total distance around the bulletin board?
Answer:
the total distance is 56 cm
Step-by-step explanation:
Given that the area of the bulletin board is 196 cm^2
Based on this, the total distance around the bulletin board is
But before that we need to find out the side
As the area of square is
= side^2
196 = side^2
So side = 14
Now there are four sides, so the total distance is
= 4 × 14
= 56 cm
Hence, the total distance is 56 cm
Answer:
56 cm
Step-by-step explanation:
what number set does 24 belong to?
Answer:
even numbers
Step-by-step explanation:
its latter digit is divisible by 2
Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures 3 times the second angle decreased by 30.
Answer:
90°,30°,60°
Step-by-step explanation:
hope it helps
Determine the measure of the angle labeled (4x+7)°.
Answer:
39°
Step-by-step explanation:
It is the same measure as the one labeled 6x-9, since these are vertical angles.
4x +7 = 6x -9
16 = 2x . . . . . . . . add 9-4x
8 = x
4x+7 = 4(8) +7 = 39
The angle is 39°.
What is the length of NO?
N= (7,-4)
O=(-7,-4)
Answer:
I believe it would be 14.
Step-by-step explanation:
The distance between 7 and -7 should be 14.
The length of NO is 14 units
What is the length of NO?Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the length is given by:
d =√((x2 – x1)² + (y2 – y1)²)
We:
N= (7,-4) : x1 = 7 , y1 = -4
O = (-7,-4): x2 = -7 , y2 = -4
Using the formula with the given values:
d=√((-7 – 7)² + (-4 – (-4))²)
d=√((-14 )² + (0)²)
d=√196
d= 14
Therefore, the length of NO is 14 units
Learn more about the distance between two points on:
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How do I solve equations bt extracting square roots?
Ex.
[tex]3(x + {4)}^{2} = 8[/tex]
Answer:
[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]
Step-by-step explanation:
[tex]3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\[/tex]
[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]
how do i get points?
Answer:
answer questions :)
Step-by-step explanation:
Answer:
sorry i just need points
Step-by-step explanation:
solve a/3 + 4 = 6
a=
Answer:
a = 6
Step-by-step explanation:
Given
[tex]\frac{a}{3}[/tex] + 4 = 6 ( subtract 4 from both sides )
[tex]\frac{a}{3}[/tex] = 2 ( multiply both sides by 3 to clear the fraction )
a = 6
Answer:
a=6
Step-by-step explanation:
a/3=6-4
a/3=2
a=6
Changes to the cities and the environment:
1) List some ways in which the Tokugawa Shogunate strengthened Japan's economy.
2) How did rice production change?
3) Why were more roads required around Edo as the city grew?
4) Why was timber such an important resource in medieval Japan?
5) Describe the environmental policies introduced to protect forests and change the way timber was harvested.
6) Write a paragraph to explain, in broad terms, the impact that the Tokugawa shogunate had on Japan.
Answer:
Sorry i don't really know all of the question but I hope the ones I know help.
Step-by-step explanation:
The second questions answers is:
The most significant change in rice production technologies started from 2000 to 2013 and it was the introduction and adoption of new rice seed varieties. Southern rice producers increased it by planting Hybrid and non-genetically modified herbicide.
The third questions answer;
more roads were required cause Edo grew into a huge city with a lot of buildings and they needed road.
The fourth question answer; timber was important cause it was used to supply construction needed for the growing of population in the peaceful time. some places like the Shogun Leyasu and many of the Daimyo started building huge castles and templates to show their power to each other.
Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,
Answer:
The next three terms in this sequence will be, -96, 192, and -384.
Hope this helped have a blessed day
Step-by-step explanation:
what 5 times a number b is
Answer:
2.5 x 2 = 5 Hope That Is What Your Looking For
Answer:
5b
Step-by-step explanation:
5 times number b is 5 * b.
In math, we can shorten the writing of a multiplication by a variable by not writing the multiplication sign.
5b means 5 * b
Answer: 5b
What is the answer to this
-5 + 7
Write the equation of the line, with the given properties, in slope intercept form slope = -2, through(-4,7)
Answer:
y= -2x + 7
Step-by-step explanation:
So in slope intercept y will always equal something so you start with
y= mx + b
m = slope and b = y-intercept
so in this case it would first be
y = -2x + b
and then since we have the point it passes through (-4,7) we know that the line passes through the y axis at 7 hence the y value is 7.
so you finally get
y=-2x+7
The equation of line passes through the point (-4, 7) will be;
⇒ y = - 2x - 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (-4, 7).
And, The slope of the line is,
⇒ m = - 2
Now,
Since, The equation of line passes through the point (- 4, 7).
And, Slope of the line is,
m = - 2
Thus, The equation of line with slope - 2 is,
⇒ y - 7 = - 2 (x - (-4))
⇒ y - 7 = - 2 (x + 4)
⇒ y - 7 = - 2x - 8
⇒ y = - 2x - 8 + 7
⇒ y = - 2x - 1
Therefore, The equation of line passes through the point (-4, 7) will be;
⇒ y = - 2x - 1
Learn more about the equation of line visit:
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Your school's drama club charges $10 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. Write an equation. Let x represent the number of people who attended the play.
Answer:
10x + 400 - y = 100
Step-by-step explanation:
Answer:
50 people came to the play
Step-by-step explanation:
Let x be the amount of people that attended the play
10x=400+100
10x=500
divide by 10 on both sides
50 people came to the play
400+100=500
40 people is $400 for the props
10 people makes $100
Hope this helps :-)
What’s the 10th term in 1,4,6,10
Answer:
Step-by-step explanation:
Feb 8, 2017 - an=12n(n+1). Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial ...
1 answer
In 3x² - x + 5 = 0, what is the quadratic term
Step-by-step explanation:
Quadratic term = Coefficient of x^2 term = 3.
k (n) = 4n – 4; Find k (8)
28
4
-32
-24
The answer
Answer:
Step-by-step explanation:
k(8) = 4(8) - 4
= 32 - 4
= 28
answer is A
A number is five less than one fourth of itself
Answer:
x = 1/4x - 5
Step-by-step explanation:
Step 1: Translate from word to math
A number = x
five less = -5
one-fourth = 1/4
of itself = x
Step 2: Combine
x = 1/4x - 5