Step-by-step explanation:
The product of slope of 2 straight lines perpandicular each other is -1.
Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So
[tex]6m = - 1[/tex]
[tex]m = - \frac{1}{6} [/tex]
Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.
[tex]y = mx + c[/tex]
[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]
[tex]c = - 2[/tex]
Therefore, the equation of the perpandicular line is
[tex]y = - \frac{1}{6} x - 2[/tex]
the set of all natural numbers less than 15 write set build notation
Answer:
{x : x Σ N, x<15}
Step-by-step explanation:
Set of all natural number less than 14 = {x : x Σ N, x<15}
(2x + 5) + (x + 4) =
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
The school band has d drummers and 5 violinists. There are 2 more violinists than drummers. Which of the following equations represents the situation?
Answer:
A d = 5+2
Step-by-step explanation:
There are two more drummers than violinists
There are 5 violinists
5 + 2 = d
or in other words, d = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
does the table represent a function
Answer:
Yes, the table represents a function.
Step-by-step explanation:
A function doesn't have multiple x values (inputs).
If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.
What is the probability of all 3 coins landing on heads
There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.
1. h h h
2. h h t
3. h t h
4. h t t
5. t t t
6. t t h
7. t h t
8. t h h
Therefore the probability is:1/8
Two less than the product of 3 and a number is equal to 6
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
The graph of the reciprocal parent function, f(x) = ), is shifted 9 units
down and 11 units to the right to create the graph of g(x). What function is
g(x)?
Answer:
g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice
Step-by-step explanation:
I. If move right is +x and move down is -y
then f(x) = [tex]\frac{1}{x}[/tex]
+x = 11, -y = -9
so g(x) = [tex]\frac{1}{x+11}-9[/tex]
Hope that help :D
solve
pls need help
pls answer now
k/3 + 4 - 5k = -2k / · 3
k + 12 - 15k = -6k
k - 15k + 6k = -12
-8k = -12 / : (-8)
k = 12/8
k = 3/2 ← the end answer
Answer: A)
Nine times the difference of a number and 4 is the same as the product of 2 and the same
number plus 10. What is the number?
Answer:
x = 8
Step-by-step explanation:
9(x - 4) = 2(x + 10)
9x - 36 = 2x + 20
7x = 56
x = 8
Please mark as brainliest :)
6 4/5 + 3 2/3
add and simplify
Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
What is the sum? 4(^5sqrt x^2y)+3(^5sqrt x^2y)
Answer:
[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]
factorise out the 5th root of x²y :
[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]
what is the arithmetic sequence of a1=228 n=28 sn=2982
Answer:
use the formula sn= n(a1+an)/2
Step-by-step explanation:
2982=28(228+an)/2
5964=28(228+an)
5964/28=228+an
213=228+an
an=-15(last term)
to find difference use formula
an = a+(n-1)d
-15=228+(28-1)d
-243=27d
d=-243/27
d=-9
arithmetic sequence can be found be keep on subtracting 9 from 228
hence the arithmetic sequence is
228, 219, 210, 201, 192, 183, 174........-15
What is 3/10 as a decimal?
Answer:
[tex]0.3[/tex]
Step-by-step explanation:
[tex]3 \div 10 = 0.3[/tex]
Answer: 0.3
Step-by-step explanation:
Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?
A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325
Answer:
D. - $75Step-by-step explanation:
We mark checks as negative and a deposit as positive:
- 160 + 125- 40Add up to get the total change of:
-160 + 125 - 40 = - 75Correct choice is D
Answer:
Answer :-
Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>
-40 - 35
-75
Option D is correct mate!
Solve 1/3 (3x + 6) + 2x = 26
Answer: x = 8
Step-by-step explanation:
Given
(1/3) (3x + 6) + 2x = 26
Expand parentheses and apply the distributive property
(1/3) · 3x + (1/3) · 6 + 2x = 26
x + 2 + 2x = 26
Combine like terms
(x + 2x) + 2 = 26
3x + 2 = 26
Subtract 2 on both sides
3x + 2 - 2 = 26 - 2
3x = 24
Divide 3 on both sides
3x / 3 = 24 / 3
[tex]\boxed{x=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
how to find the sum of 12 and 36 using the gcf and distributive property
URGENT. I NEED TO DO IT
Answer:
[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]
Answer:
2nd option and last option
Step-by-step explanation:
the first option is an equation: it has a solution.
the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.
the third option is an equation since it has the equal sign, and thus, has a solution.
the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)
lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.
Can someone plz solve the math problem i attached as a screenshot. Thx
Answer:
[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]
Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)
Answer:
7.3
Step-by-step explanation:
The length of AB is found using the distance formula
We need to know the coordinates of A and B
A = (-5,-4) and B = (-3,3)
The distance is
d = sqrt ( (y2-y1)^2 + (x2-x1)^2)
= sqrt( (3 - -4)^2 +(-3 - -5)^2)
= sqrt( (3+4)^2 +(-3+5)^2)
= sqrt(7^2+2^2)
= sqrt(49+4)
= sqrt(53)
=7.280109889
To the nearest hundredth
=7.3
a cylindrical barrel contains 42 gallons of oil the diameter is 18 inches. determine the radius of a barrel in centimetres
PLS HELP! WILL GIVE BRAINLIEST
Answer:
csc x sec x
Step-by-step explanation:
csc = 1/sin
1/sin^2 / cos/sin = 1 / sin^2 * sin/cos = 1 / sin cos = csc sec
Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006
Answer:
0.006 is the larger decimal
Answer:
0.006 is the right answer
Step-by-step explanation:
Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.
A ray extends forever. True or false
false
false
false........
false
Answer:
it extends forever in one direction. so false i guess
Step-by-step explanation:
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
:b. 5/8
c. 6/8
d. 1/8
Answer:
B. [tex]\frac{5}{8}[/tex]
Explanation:
Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.
Write an equivalent expression in standard form for
(5x + 4)(7x+ -12x + 27).
Answer: -25x² + 115x + 108
Concept:
When encountering questions that ask for simplifying polynomial expressions, using the method FOIL would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means multiplying the last term in each binomial together;Solve:
Given
(5x + 4) (7x + (-12x) + 27)
Combine like terms in the parentheses
=(5x + 4) (7x - 12x + 27)
=(5x + 4) (-5x + 27)
Expand parentheses and apply the FOIL method
=-25x² + 135x - 20x + 108
Combine like terms
= [tex]\boxed {-25x^2+115x+108}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\boxed {\boxed {\sf -25x^2+115x+108}}[/tex]
Step-by-step explanation:
We are asked to find an equivalent expression for (5x + 4)(7x+ -12x + 27). Note that we are multiplying 2 polynomials.
[tex](5x + 4)(7x+ -12x + 27)[/tex]
Notice that the second polynomial has like terms. There are 2 terms with an x (7x and -12x) and we can combine them.
[tex](5x + 4)[(7x+ -12x) + 27][/tex]
[tex](5x + 4)[(-5x) + 27][/tex]
[tex](5x+4)(-5x+27)[/tex]
Now we are multiplying 2 binomials. Therefore, we use the FOIL method. We multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
First: 5x * -5x = -25x²Outside: 5x * 27 = 135x Inside: 4* -5x = -20x Last: 4 * 27=108[tex]-25x^2+135x-20x+108[/tex]
Notice there are 2 terms with an x ( 135x and -20x). They are like terms and can be combined.
[tex]-25x^2+(135x-20x)+108[/tex]
[tex]-25x^2+115x+108[/tex]
The equivalent expression in standard form is -25x²+115x+108
3/10 = 15/50 what is the multiplier
Answer:
the answer is 150
Step-by-step explanation:
you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150
A wall is 4200 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall
Step-by-step explanation:
4200 ÷ 600 = 7
Answer:
7
Step-by-step explanation:
Divide the total wall space by the amount in 1 gallon: 4200/600= 7
So you would need 7 gallons to paint the whole wall.
Is that what you were looking for?
Can anyone help with this please
Answer:
None
Step-by-step explanation:
Simply, the absence of s^-1 shows the answer as none
James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed
(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed
(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript
(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript
9514 1404 393
Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5
Step-by-step explanation:
since < 5 = < 8, so,
< 7 = < 6 = 29°
and < 5 = 90° - 29° = 61°
