What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120
Answer:
x=6+2√3 or x=6−2√3
Step-by-step explanation:
Let's solve your equation step-by-step by using completing the square.
5x^2−57x=3x−120
Step 1: Subtract 3x from both sides.
5x^2−57x−3x=3x−120−3x
5x^2−60x=−120
Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.
5x2−60x/5 = −120 /5
x2−12x=−24
Step 3: The coefficient of -12x is -12. Let b=-12.
Then we need to add (b/2)^2=36 to both sides to complete the square.
Add 36 to both sides.
x2−12x+36=−24+36
x2−12x+36=12
Step 4: Factor left side.
(x−6)2=12
Step 5: Take square root.
x−6=±√12
Step 6: Add 6 to both sides.
x−6+6=6±√12
x=6±√12
x=6+2√3 or x=6−2√3
NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
14.4
Step-by-step explanation:
16^2 - 7^2 = root of 207
210 is what percent of 500?
Answer:
42
hope this answer helps you!
What is the volume of the triangular prism shown below?
8 cm
3 cm
13 cm
A 143 cm
B 312 cm
C 156 cm
D
Not here
Answer:
156 cm
Step-by-step explanation:
In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
Factorise x^2-3x
plz help me
x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
A question 1
B question 2
C question 3
D question 4
Answer:
Question 2
Step-by-step explanation:
divdtihcdyuvftujvfujvfubf
Answer:
2
Step-by-step explanation:
Find the base area of a square pyramid
whose base has a side length of 12cm.
A) 148 B) 144
C) 143
D) 140
Answer:
B) 144 cm^2
Step-by-step explanation:
Solve. 1/2(4x + 2/5) = 4/5
Answer:
[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]
Answer:
x = 3/10
Step-by-step explanation:
Given equation,
→ 1/2(4x + 2/5) = 4/5
Let's solve the problem,
→ 1/2(4x + 2/5) = 4/5
→ 2x + (1/5) = 4/5
→ 2x = (4/5) - (1/5)
→ x = (3/5) × (1/2)
→ [ x = 3/10 ]
Thus, the value is 3/10.
What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3
2+2=4 got it right took the test.
Answer:
Good for you
Step-by-step explanation:
\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region
Answer:
Area of the rectangle: 24 cm²
Area of the circle: 380.13 cm²
Area of between the circle and the rectangle: 356.13 cm²
Step-by-step explanation:
Answer:
397.39
Step-by-step explanation:
pls help me answer this question
Answer:
c
Step-by-step explanation:
10*10=100
100-78.54=21.46
so rounded answer is c or 21.5
goodluck on your test
Answer: Hello Luv......
C. 21.5
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
1) .11111
2) 5/9
3) 122/495
4) rational- .167167, 2/9
irrational- π, [tex]\sqrt{225}[/tex]
5) 5.75
18. Is this figure a polygon? Explain.
Answer:
no
Step-by-step explanation:
A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).
Answer:
3.15 cents
Step-by-step explanation:
So, lets go over all the information we know.
First off, we know that the cost of the item is 70 dollars.
Secondly, we know that the fee is 4.5% of 70 dollars.
Now, what is 4.5%?
Well, we know that 100% is qual to 1.
So lets divide 4.5 by 100, which is just moving the decimal point back by 2:
0.045
Now, the last thing to do is multiply 0.045 by 70.
0.045x70
=
3.15
So now we know the fee for a 70 dollar item is 3.15 dollars!
Hope this helps ;)
y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0
Answer:
y = - 3, - 2, - 1
Step-by-step explanation:
Given
- 8 < 2y < 0 ( divide each interval by 2 )
- 4 < y < 0
Then y can equal - 3, - 2, - 1
Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch
Answer: 25 in.
Step-by-step explanation:
Given
Arc length is 34 inches
The angle subtended by the arc is [tex]78^{\circ}[/tex]
arc length l subtending an angle [tex]\theta[/tex] is given by
[tex]\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R[/tex]
Put the values
[tex]\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.[/tex]
What is the answer to this problem
Answer:
791.68
Step-by-step explanation:
have a nice day! :)
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answer:
∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°
Step-by-step explanation:
∠ 1 and ∠ 3 are vertical angles and are congruent, then
∠ 1 = 99°
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so
∠ 2 = 180° - 99° = 81°
∠ 2 and ∠ 4 are vertical angles and are congruent, so
∠ 4 = 81°
2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.
Answer:1
Which of the following functions has a line of symmetry of x = 2?
Step-by-step explanation:
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.
12 ft
7 ft
10 ft
Please help
Answer:
not a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 12 and 12² = 144
7² + 10² = 49 + 100 = 149 ≠ 144
Then triangle is not right
1. Find the area of each circle. Use 3.14 for A. Round to the nearest tenth.
5cm
RE
Answer:
78.5 cm²Step-by-step explanation:
Area of circle:
A = πr²A = 3.14*5² = 78.5 cm²−4x−6=−5y+2
Write a formula for g(x), in terms of x.
Please
54 as a fraction of ____ is equivalent to 9/10
Answer:
54 as a fraction of 60 is equivalent to 9/10
Step-by-step explanation:
54/x = 9/10
54 * 10 = x * 9
6*9 * 10 = x * 9
6 * 10 = x
x = 60
What two numbers multiply together to equal 15 and add together to equal 8?
Answer:
5 and 3
Step-by-step explanation:
please mark me brainlist
what is the square root of 56?
Answer:
2 square root 14
Step-by-step explanation:
The square root of 56 is 2 square root 14. 56 = 4 * 14, and 4 can be square rooted into an integer.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?
Answer:
35
Step-by-step explanation:
525/75=7x5=35
The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.
Then the number of the children in Eric's school who has red hair will be
Let x be the number of the children. Then we have
[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?
NO LINK
Answer:
Find the Slope = y2 - y1 / x2 - x1
= 6 - 2 / 12 - -4
= 4/16
= 1/4 This is the slope, m.
2) Now, plug m and one point into: y - y1 = m (x - x1)
y - 6 = 1/4 (x - 12) Distribute the 1/4
y - 6 = 1/4 * x - 3 Solve for y
y = 1/4*x - 3 + 6
y = 1/4*x + 3
Step-by-step explanation:
brainliest please?
The value of m for a line that passes through (-24, m) and (12,11) and have a slope of 1 / 12 is 8.
What ia a slope?The slope of a line is a measure of its steepness. The slope is rise divided by the run.
Therefore,
(-24, m)(12, 11)
slope = m = 1 / 12
slope = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = -24
x₂ = 12
y₁ = m
y₂ = 11
1 / 12 = 11 - m / 12 + 24
1 / 12 = 11 - m / 36
cross multiply
36 = 12(11 - m)
36 = 132 - 12m
36 - 132 = -12m
-96 = -12m
m = 96 / 12
m = 8
learn more on slope here:https://brainly.com/question/13929101