Answer:
(3x - 2) (x+5)
Step-by-step explanation:
3x^2 + 13 - 10
15× - 2 = -30
15+-2 = 13.....substitute 15x - 2x in place of 13x
3x^2+15x-2x-10
Factorise the first two values, thrn the second two
3x (x+5) - 2 (x+5)
Gathering the like terms together you eill be left with the following
(3x - 2) (x+5)
The factors of the trinomial 3x² + 13x - 10 is (3x-2)(x+5).
What is Factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
we have,
Trinomial= 3x² + 13x - 10
Now, factories using splitting the middle term we get
3x² + 13x - 10
= 3x² + 15x - 2x - 10
= 3x( x +5) - 2(x+ 5)
= (3x - 2) (x+ 5)
So, the factors are (3x- 2(x+5)
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whats12 divided by 1/3 (infractions)
12 divided by 1/3 is also equal to 12 times 3.
12x3=36
To double check, you could use a calculator, but the answer would still be 36.
sorry if this doesn't help
Answer:
36/1
36
Step-by-step explanation:
Can someone help me please????
Please help me solve 8n+2-6n-13=9+2n-13
Answer:
It has no solution, unless there's a specific way it needs to be solved
Step-by-step explanation:
Please help
1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the
viewing platform as 37º. How far up the tower is the viewing platform?
Answer:
41.4feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Distance of Rafael from the tower = 55feet = Adjacent
Angle of elevation = 37degrees
Required
Height of the tower = Opposite
Since Tan theta = opp/adj
Tan 37 = x/55
x = 55tan37
x = 55(0.7536)
x = 41.4
Hence the tower is 41.4feet up the viewing platform
What is the greatest common factor of 46 and 16?
What would be the best estimate for the height of a front door?
Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.
Step-by-step explanation:
Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)
Graph two : (0,3) (4,-5)
Help
Answer:
Step-by-step explanation:
HERE ARE THE ANSWERS
Find the dimensions of the square or circle.
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
what is 3 (2х-5) 2х+3=1
3(2x-5)+2x+3=1
6x-15+2x+3=1
8x-12=1
+12 +12
8x=13
/8 /8
x=1.625
---
sorry if this doesn't help
A right rectangular prism has a square base and a volume of 225 cubic centimeters. The height, h, of the prism is 9 centimeters. Find the area of the base, B. A. B. C. D.
Answer:
Area of base = 25cm
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
Volume = length × width × height = lwh
for a square base, length = width
∴ volume = l × l × h = l²h
where:
l = length
h = height = 9cm
volume = 225 cm³
∴ 225 = l² × 9
l² = 225 ÷ 9
l² = 25
∴ length = √ 25 = 5cm
Area of base = Length × Length = 5 × 5 = 25cm
Solve for XSolve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answer:
Step-by-step explanation:
Because the angles are opposite each other they are equal so we can say
4x-25=75
4x=100
x=25
x= 25
4x -25 = 75 ( vertically opposit angle)
4x = 100
x = 100/4
x= 25
angle = 75
hope it helps
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
Can somone please help me and explain very much appreciated and this is 7th grade math btw
Answer:
4 8.95h + 10 < 115
Step-by-step explanation:
Answer: 4) 8.95h + 10 < 115
Step-by-step explanation:
We know the inequality will be equal to less than 115 since it states that the order was less than $115.
The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115
8.95h + 10 < 115
(h in the given equation is the amount of shin guards)
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.
A. The rate of change is 1/2
B. The rate of change is 2
C. The rate of change is constant
D. The rate of change is increasing
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)
Step-by-step explanation:
<c =90 °
So, Pythagoras theorem can be used,
Hypotenuse ² = base ² + altitude ²
AB²=AC²+BC²
11²=AC²+4²
11²-4²=AC²
121-16=AC²
Root 105=AC
AC=10.2 cm
The length of AC is 10.25 cm
What is pythagorean theorem ?
If ΔABC is a right angle triangle, then
AB² = BC²+AC²
where AB = Hypotenuse, BC & AC are adjacent sides of the right angle
What is the required length of the side ?Given, hypotenuse = AB = 11 cm
One of adjacent sides = BC = 4 cm
We have to find the length of AC.
Using pythagorean theorem,
AB² = BC²+AC²
⇒ AC² = AB² - BC²
⇒ AC² = 11²-4²
⇒ AC² = 121-16
⇒ AC = √105
⇒ AC = 10.25
So the length of AC = 10.25 cm
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3a²b3(-4b3 + 2b2a - 7) =
Answer:
the answer is =6a^3b^5−12a^2b^6−21a^2b^3
Step-by-step explanation:
hoped I helped:)
Please help! Thank you! :))
25% of what number is 20
Answer:
100
Step-by-step explanation:
What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
What is the equation of a circle whose center is at the origin and whose radius is 16?
x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256
Answer:
x^2 + y^2 = 256
good luck and have an awesome Day/Night
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Solve each equation.
d(d+3)-d(d-4)=9d-16
Answer:
2d+3d-2d+4d= 9d-16
2d is cancelled
3d+4d=9d-16
7d=9d-16
16=9d-7d
16=2
16/2
d=8
I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.
Answer:
Step-by-step explanation:
sin77=h/8
h=8sin77
h=8(0.9744)
h=7.7952ft
In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24
Answer:
Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
The diameter of a circle is 4 units.
What is the radius of the circle?
units
Answer:
radius = D/2
Step-by-step explanation:
radius= 4unit/2
=2unit
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side