Answer:
1. m³ + m
= m( m² + 1) [ a² + b²]
= (a-b)² + 2ab
= m { (m –1)² + 2× m × 1 }
= m { ( m–1)² + 2m}
2. 25 – y² [ a² – b²]
= 5² – y²
= (5+y) (5–y)
3. x² + 3x –28 [ middle term factorisation]
= x² + 7x –4x –28
= x( x +7) –4 ( x + 7 )
= ( x–4) (x+7)
➊ Factorise :- [tex]\sf{m^{3} + m}[/tex]
Solution :-
[tex]→ \ \ \sf\purple{m^{3} + m}[/tex]
Factor out m from the expression[tex]→\:\:\bf\red{ m \times (m^{2} + 1)}[/tex]
______________________➋ Factorise :- [tex]\sf{25-y^{2}}[/tex]
Solution :-
[tex]→\:\:\sf\purple{25-y^{2}}[/tex]
Write the number in the exponential form with an exponent of 2[tex]→\:\:\sf\green{5^{2} - y^{2}}[/tex]
Using a²-b² = (a-b)(a+b), factor the expression[tex]→\:\:\bf\red{(5-y)\times (5+y)}[/tex]
______________________➌ Factorise :- [tex]\sf{x^{2}+3x - 28}[/tex]
Solution :-
[tex]→\:\:\sf\purple{x^{2}+3x - 28}[/tex]
Rewrite 3x as a difference[tex]→\:\:\sf\green{x^{2}+7x-4x-28}[/tex]
Factor the expressions[tex]→\:\:\sf\orange{x \times (x +7) -4 (x+7)}[/tex]
Factor out x + 7 from the expression[tex]→\:\:\bf\red{(x + 7)\times (x - 4)}[/tex]
Find the slope of each line.
m
(Use the / to write your answer as a fraction. If your answer is a negative fraction, put the negative first before the fraction. For example, type
-4/7 instead of 41.7. Keep your answer as a fraction. Do not change it to a decimal)
Which statement that describes show that figure a is congruent to figure b
Answer:
E.
Step-by-step explanation:
Translation: slide of the shape or figure, it does NOT change its shape, size, and form, count how many units the shape moves.
Reflection: flip of the shape, does NOT change its shape, size, and form, either can be flipped or reflected over the x or y axis.
Rotation: turn of the shape, does NOT change its shape, size, and form, either can be rotated counter clock wise left, (opposite of a clock direction), or clockwise, the direction a clock moves right. It can also be rotated 90° (1 turn), 180° (2 turns), 270° (3 turns) or 360° (4 turns). In highschool, you will get introduced to more degrees of rotation, this is just middle school level.
on a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give answer t 1 decimal place
17caslan19 avatar
the base of the tringle would be 8 and the height would be 7 use pythagorus
Answer:
≈ 10.6 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = p(3, - 1) and (x₂, y₂ ) = q(- 5, 6)
d = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+ 7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex] ≈ 10.6 ( to 1 dec. place )
A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take for the ship to reach the other side?
Answer:
pass the code
Step-by-step explanation:
how do i solve
3(5x + 2) = 2(3-6)
Step-by-step explanation:
Hey there! Down here :D
[tex]3(5x + 2) = 2(3 - 6)[/tex]
[tex]15x + 6 = 2( - 3)[/tex]
[tex]15x = - 12[/tex]
[tex]x = \frac{ - 12}{15} [/tex]
is the required answer.
Hope It helps :)
12. Given y-3 = (x + 1), convert it to standard form.
Answer:
x - y = -4
Step-by-step explanation:
Standard Form: Ax + By = C
A is non-negative
Step 1: Define equation
y - 3 = (x + 1)
Step 2: Solve to Standard Form
Add 3 to both sides: y = x + 4Subtract x on both sides: y - x = 4Factor out negative: -(x - y) = 4Divide by -1 on both sides: x - y = -4When an angle is reflected across a line, what happens to its measure?
A It remains the same
B It doubles
C It halves
D Not enough information
The French Revolution influenced and inspired the idea of loyal to a country instead of a ruler in Latin America.
A) True
B) False
Answer:
the answer is true
that's all i got hope it helped
-13 <-x+5<8 is -21 True or false?
Daniel is currently 26 years older than his son. In sic years he will be tree times older than his son. How old are both of them now.
well, 26+6 is 32, so divide that by 3 and you'd get 10.67, making daniel 32 by that time and his son being 10 years old
its simple math really, also, i hope this helps you ^-^
Fiona was thinking of a number. Fiona adds 18 to it, then doubles it and gets an answer of 40.1. What was the original number?
Answer:
2.05,i need 20 characters so here lol
please help me out thank you so much :)
7+7
Answer:
14
Step-by-step explanation:
7+7
Calculate.
7+7 = 14
sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the same job in 12 days ?
Answer:
8 more men are needed to complete the job
Step-by-step explanation:
Proportions
This problem can be solved by step-by-step reasoning applying proportions:
16 men working 9 hrs a day complete the job in 14 days16 men working 1 hr a day complete the job in 14*9 daysThe above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
1 man working 1 hr a day complete the job in 14*9*16 daysThe same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
1 man working 7 hrs a day complete the job in 14*9*16/7 daysMore hours/day=less days to complete the job
x men working 7 hrs a day complete the job in 14*9*16/(7*x) daysWe know this last time is 12 days, thus:
[tex]\displaystyle 12=\frac{14*9*16}{7*x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24[/tex]
24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job
Find the value of x in this equation
3/4 (6x + 1) -3x = 1/4 (2x - 1)
x =
(I answered with -1 originally and it wasn’t correct which is why im confused)
Answer:
It is -1
Step-by-step explanation:
Choose the answer that shows 5–15 rewritten using a positive exponent.
A. –515
B. –155
C. 1155
D. 1515
Answer:
D
Step-by-step explanation:
The number expression 5⁻¹⁵ rewritten using a positive exponent as -5¹⁵ option (A) -5¹⁵ is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= 5⁻¹⁵
By the property of the integer exponent we can write the above number exponent as follows:
= (5¹⁵)(-1)¹⁵
(-1)¹⁵ = -1 (because 15 is the odd number)
= -5¹⁵
Thus, the number expression 5⁻¹⁵ rewritten using a positive exponent as -5¹⁵ option (A) -5¹⁵ is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ5
please help me with this question
Step-by-step explanation:
You can solve this with kinematics or with energy.
Using kinematics, given:
v₀ = 600 m/s
v = 200 m/s
Δx = 0.05 m
Find: a
v² = v₀² + 2aΔx
(200 m/s)² = (600 m/s)² + 2a (0.05 m)
a = -3,200,000 m/s²
Given:
v₀ = 600 m/s
v = 0 m/s
a = -3,200,000 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)² = (600 m/s)² + 2(-3,200,000 m/s²) Δx
Δx = 0.05625 m
So the bullet needs to travel an additional 0.00625 m, or 0.625 cm.
Using energy, the work done on the bullet equals the change in kinetic energy.
ΔKE = W
½ mv² − ½ mv₀² = Fd
½ m (200 m/s)² − ½ m (600 m/s)² = F (0.05 m)
(-160,000 m²/s²) m = F (0.05 m)
F/m = -3,200,000 m/s²
½ mv² − ½ mv₀² = Fd
½ v² − ½ v₀² = (F/m) d
½ (0 m/s)² − ½ (600 m/s)² = (-3,200,000 m/s²) d
d = 0.05625 m
Solve each for the missing variable
1. 9x + 15 = 96
Answer:
81
Step-by-step explanation:
my friend theres nothing on the world that will say that 96 - 15 = 9x
because 96-15= 81 and 81 + 15 equals 96
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil. If the price of soil is
$1.50 per quart, how much will he pay in all?
Answer:
$16.5
Step-by-step explanation:
12 cups= 3 quarts 2 gallons= 8 quarts
3+8=11 quarts 11x$1.5=$16.5
HELP PLEASE DUE SOON
Simplify the expression 256b − b by combining like terms.
257b2
255b2
256b2
255b
Answer:
[tex]\huge{\boxed{\sf { 255 b}}}[/tex]
Step-by-step explanation:
[tex]256 b - b[/tex]
Like terms are those which have the same base. Like terms can be added or subtracted . Only coefficients of like terms can be added or subtracted.
⇒[tex](256 - 1 )b[/tex]
⇒[tex]255 b[/tex]
Hope I helped!
Best wishes!
~[tex]\text{ TheAnimeGirl}[/tex]
ANSWER ONE AND TWO ILL GIVE YOU BRAINLIST!!!
Step-by-step explanation:
1.
Radius of of the table cloth = diameter/2 = 30/2 = 15 inches
Area of the table cloth
[tex] A = \pi r^2 \\\\
= \pi (30)^2 \\\\
= \pi\times 900\\\\
= 900\pi [/tex]
Area of the table cloth [tex] = 900\pi\: inches^2 [/tex]
2.
Radius of circular garden = 3 m
Area of circular garden
[tex] A = \pi r^2 \\\\
= \pi (3)^2 \\\\
=\pi\times 9\\\\
=9\pi [/tex]
Area of circular garden [tex] =9\pi\: m^2 [/tex]
what realization did you have with this lesson
Answer:
no question..............
5(4+r)=1/2(40+10r)????????????????
Answer:
All real numbers are solutions.
Step-by-step explanation:
12
11
84
12
84
Scale Factor=
x =
The two triangles in the graphic below can be proven congruent by:
Answer:
AAS
Step-by-step explanation:
A number to the 8th power divided by the same number to the 6th power equals 64. What is the number?
The number is
Answer:
4
Step-by-step explanation:
Let the number = X
You have X^8 / X^5
When dividing two numbers with powers, Simplify the expression by subtracting the powers.
8-5=3
so X^8 / X^5 becomes x^3
Now you have x^3 = 64
To find x take the cubic root of 64:
X = ∛64
X = 4
The number is 4
Slope-Intercept form!!
Answer:
B
Step-by-step explanation:
Solution,
here,
slope(m)=-5
passing point;(-1 , -8)=(x1 , y1)
Using the formula:y-y1=m(x-x1)
or,y-(-8)= -5[x-(-1)]
or,y+8=-5x-5
.°.y= -5x-13
Identify the like terms:
3t2 - 2t2 + 6 +12
Answer:
3t2 and -2t2. and 6 and 12
A=8x+78 B=2x+114 solve for x and then find the measure of B
Answer:
x= (A/8 - 39/4)
B= (A/4 + 189/2)
Step-by-step explanation:
You simplify 2(A/8 - 39/4) +144
Answer:
126
Step-by-step explanation:
The side of a square is 15 millimeters. What is the perimeter?
Answer:
60 millimeters
Step-by-step explanation:
15(4)= 60
Answer:
15+15+15+15=60
Step-by-step explanation:
another way and it's quicker is 15*4
Which of the following equations will produce the graph shown below?
Answer:
B :)
Step-by-step explanation:
Apex