Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2 + 5y = –20
Answer:
Submit Answer
PLS HEP ASAP
same as we did for the other question,
5y=-x-20
then divide the 5
y= (-1/5)x-4
How Does 2 / 0.1 become 20?
The decimal value 0.1 converts to the fraction 1/10
This is because the 1 in 0.1 represents "one tenth", as its in the tenths place.
So this means 2/0.1 is the same as 2/(1/10) or [tex]2 \div \frac{1}{10}[/tex]
Then we can follow these steps:
[tex]2 \div \frac{1}{10} = \frac{2}{1} \div \frac{1}{10}\\\\\\2 \div \frac{1}{10} = \frac{2}{1} \times \frac{10}{1}\\\\\\2 \div \frac{1}{10} = \frac{2*10}{1*1}\\\\\\2 \div \frac{1}{10} = \frac{20}{1}\\\\\\2 \div \frac{1}{10} = 20\\\\\\[/tex]
Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is [tex]\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}[/tex]. The first fraction does not flip.
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
Which is a reasonable first step that can be used to solve the equation 2(x+6) = 3(x-4) +5? O Combine like terms, 3 and 5, on the right side of the equation. O Distribute 2 to (x + 6) and 3 to (x – 4). O Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation. O Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side. Save and Exit Mark this and return Next Submit
Answer:
Distribute 2 to (x + 6) and 3 to (x – 4).
Step-by-step explanation:
While solving for:
2(x+6) = 3(x-4) + 5
Firstly, we need to open the parenthesis. For this, we've to distribute 2 to (x+6) and 3 to (x-4).
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!(x-1)^2+(2-x)^2-3(x-5)*(x-5)
Answer:
[tex]-x^2+24x-70[/tex]
Step-by-step explanation:
[tex](x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70[/tex]
Formula used =
[tex](a-b)^2 = a^2+ 2ab + b^2[/tex]
Last year, the Widget Corporation had $650,000 in sales. This year, sales are
down 4%. How much did the Widget Corporation sell this year?
Answer:
$624,000
Step-by-step explanation:
100-4 = 96
96/100 = 0.96
650,000 x 0.96 = 624,000
= $624,000
Help me out plzzzzzz
Answer:
∠1 = 56
Step-by-step explanation:
To find ∠1 we need to
∠1 + ∠2 = ∠ABD
∠1 + 17 = 75
∠1 = 75 -17
∠1 = 56
50 points hurry!!!!!
find what belongs in the missing/blocked out line.
Answer:
4+7(11)
Step-by-step explanation:
the square root of 121 is 11 so it would be 4+7(11)
Answer:
4 + 7 × 11
Step-by-step explanation:
[tex]4 + 7 \sqrt{ {5}^{3} - 4} [/tex]
[tex] = 4 + 7 \sqrt{125 - 4} [/tex]
[tex] = 4 + 7 \sqrt{121} [/tex]
simplify the square root of 121
[tex] \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}[/tex]
[tex] = 4 + 77[/tex]
[tex] = 81[/tex]
┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱
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★ . ꜝꜞ ᳝ ࣪ hope that helped! ʬʬ
factorize
a square -
Answer:
FOIL stands for multiply the first, outside, inside, and last terms together. When you FOIL a binomial times itself, the product is called a perfect square. For example, (a + b)2 gives you the perfect-square trinomial a2 + 2ab + b2.
Step-by-step explanation:
two units of length used in ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. the great sphinx statue in Giza is approximately 140 cubits long. which of the following best approximates the length, in palms, of the great sphinx statue? A) 0.05 B) 20 C) 140 or D) 980
Answer:
Step-by-step explanation:
option a
Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s
Answer:
2000 J
Step-by-step explanation:
We know that
KE = ½ mv²
KE = ½ × 10 × (20)²
KE = 5 × 400
KE = 2000 J
Now we have to,
find the required kinetic energy.
The formula we use,
→ KE = 1/2 mv²
The given information is,
→ Mass (m) = 10 kg
→ Velocity (v) = 20 m/s
Let's find the kinetic energy,
→ 1/2 mv²
→ 1/2 × 10 × (20)²
→ 5 x 400
→ [2000 J]
Thus, kinetic energy is 2000 J.
Identify the number as rational or irrational.
Identify which number??
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
Select the two values of x that are roots of this equation.
2x^2+ 1 = 5x
Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
simply this equation
Answer:
b= x
Step-by-step explanation:
[tex]\boxed{ {x}^{m} \times {x}^{n} = {x}^{m + n} }[/tex]
Applying the law of indices above:
[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } [/tex]
[tex]b = {x}^{ \frac{1}{4} + \frac{3}{4} } [/tex]
[tex]b = {x}^{ \frac{4}{4} } [/tex]
[tex]b = {x}^{1} [/tex]
∴b= x
Answer:
It is b = x
Step-by-step explanation:
From law of indices:
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]
for, multiplication: same coefficients, we sum up the powers.
[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } \\ b = {x}^{( \frac{1}{4} + \frac{3}{4} ) } \\ b = {x}^{ \frac{4}{4} } \\ b = {x}^{1} \\ b = x[/tex]
Find three consecutive even numbers
such that the sum of three times the
smaller number and five times the larger
number is 40 more than twice the median
number.
Answer:
1, 4, 9
Step-by-step explanation:
1 x 3 = 3
9 x 5 = 45
total = 48
median = 4
twice median = 4×2
= 8
sum = 8 + 40 = 48
48=48
What is equivalent to -23?
What is the value of the expression below?
675 ÷ 3 - (15 - 12)²
PLZ HELP-
Answer:
675 ÷ 3 - ( 225 - 144)
675 ÷ 3 - (81)
225 - 81
144
I hope it's helps you
Answer:
[tex]675 \div 3 - (15 - 12) {}^{2} \\ \\ 675 \div 3 - (225 - 144) \\ \\ 675 \div 3 - 81 \\ \\ 225 - 81 \\ \\ = 144[/tex]
(
Ella and Bell made $12.75 at their
lemonade stand in the morning
and $9 during the afternoon. How
much did they make at the end of
the day?
You had to show you awake
Answer:
is it $21.75
Step-by-step explanation:
add it together
Answer:
$21.75
Step-by-step explanation:
$12.75+$9=$21.75.
Can someone answer this ASAP?
NO IMAGE EXAMPLES PLEASE I CANT SEE THEM
Answer:
6.3Step-by-step explanation:
Given,
Area of a triangle = 40
Therefore,
Side of the square
[tex] = \sqrt{40} [/tex]
= 6.3245553203
= 6.3 (estimated) (Ans)
(√2+√3) ^2
answer faaaaaaaaaaaaast
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]thank \: you[/tex]
Solve for the value of k
Answer:
k=13
Step-by-step explanation:
3k+6+4k-7+90=180
7k+89=180
k=180-89/7
k=13
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square. What is the side of the triangle?
Answer:
13 inches
Step-by-step explanation:
in an equilateral triangle all sides had we the same length.
so, the perimeter is simply 3×one triangle side.
and the perimeter of the square is 4×one square side.
x = triangle side length
y = square side length
3x = 4y + 15
x = y + 7
we use the second equation as substitution in the first equation.
3(y + 7) = 4y + 15
3y +21 = 4y + 15
6 = y
x = y + 7 = 6 + 7 = 13 inches
Find f(4) for the function below.
f(x) = |x-7| + 3
Step-by-step explanation:
f(x) = |x-7| + 3
when x is equal to 4, then
f(4) = |4-7| + 3
=-3+3
=0
Answer:
[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]
Step-by-step explanation:
We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.
[tex]f(x)= |x-7| +3[/tex]
Substitute 4 for x in the function.
[tex]f(4) = |4-7| +3[/tex]
Solve inside the absolute value signs.
[tex]f(4)= |-3|+3[/tex]
The absolute value of a number is its distance from 0 on a number line. It is always the positive version of a number, so the absolute value of -3 is 3.
[tex]f(4)= 3+3[/tex]
Add.
[tex]f(4)= 6[/tex]
For the function f(x)= |x-7| +3, f(4) is equal to 6.
Which rigid motion preserves the orientation of a figure after being transformed?
Question 3 options:
a)
all of the above
b)
translation
c)
rotation
d)
reflection
Answer:
Step-by-step explanation:
I think it’s translation because your just sliding the figure
what is the first term, common difference, and 16th term
Answer:
The 1st term is -67
Step-by-step explanation:
I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])
If Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98
124 = 8/2(a + 98)
124 = 4(a + 98)
124 = 4a + 392
124 - 392 = 4a
-268/4 = a
-67 = [tex]a_{1}[/tex]
Hope that help :D
plz help me plz!!!!!!
Answer:
6. was Narbada alienated ...?
7. did Pratima make ...?
8. did Zayasha wander ...?
9. Did Sachin behave as if...?
10. did susan look ...?
12. do sarina and sazina jump ...? (plural noun)
13. Were ... and ... aghast to...?
Step-by-step explanation:
yes/ no question:
Past simple: Did + S + V-bare...?
Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)
How many times smaller is the value 29,000 than the value 290,000
simplify -2(x-4)-8(6-8x)
The simplified form of the expression is 2(31x-20).
Given the expression is -2(x-4)-8(6-8x).
Expressions in mathematics are mathematical statements containing at least two terms containing numbers or variables or both connected by an intermediate operator.
The given expression is solved by using the distributive property a(b+c)=ab+bc, we get
-2(x-4)-8(6-8x)=-2x-4(-2)-8(6)-8(-8x)
-2(x-4)-8(6-8x)=-2x+8-48+64x
Now, we will simplify the above expression by adding or subtracting like terms, we get
-2(x-4)-8(6-8x)=62x-40
-2(x-4)-8(6-8x)=2(31x-20)
Hence, the simplified form of the given expression -2(x-4)-8(6-8x) is 2(31x-20).
Learn more about distributive property from here brainly.com/question/8329981
#SPJ1
0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to
Answer:
12/99
Step-by-step explanation:
x=0.121212
100x=12.121212
100x-x=12.1212-0.1212
99x=12
x= 12/99
Answer:
6/50 is simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
parameters & values: The decimal number = 0.12step 2 Write it as a fraction
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12