Answer:
a) The equation of the straight line passing through the origin and having slope m=-5
y = -5x
b) The equation of the straight line in slope-intercept form
y = 2 x -1
Step-by-step explanation:
Step(i):-
We know that the equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m(x-x₁)
a)
Given that the equation of the straight line passing through the origin and having slope m=-5
y = -5x
Step(ii):-
b)
Given that the equation of the straight line in slope-intercept form
y = m x +c
y = 2 x -1
can someone plz help me ASAP??? my hw in hard and I don't get it
9514 1404 393
Answer:
see attachments
Step-by-step explanation:
These are "one-step" equations.
To solve the ones involving addition or subtraction, identify the constant on the same side with the variable. Add its opposite to both sides.
To solve the ones involving multiplication or division, identify the coefficient of the variable. Multiply both sides by its reciprocal (or, equivalently, divide by that coefficient).
Here are more details for the problems on the first page.
w +8 = -3 ⇒ w = -3 -8 = -11z +(-7) = -20 ⇒ z = -20 +7 = -131/5x = 11 ⇒ x = 5·11 = 551u = -88 ⇒ u = -88/11 = -81/9y = -2 ⇒ y = 9(-2) = -1812 +n = 7 ⇒ n = 7 -12 = -5q +(-4) = 8 ⇒ q = 8 +4 = 12_____
The second page is solved the same way. It is shown in the second attachment.
What is the difference (6 + 9i) - (12 - 15i)?
Answer:
- 6 + 24 i
Step-by-step explanation:
Use distributive property to remove parentheses and then combine like terms:
6 + 9i - 12 + 15 i = - 6 + 24 i
The edge of a cube is 6 inches. What is the total surface area of the package?
Answer:
the answers is 216in²
simplify 6e - 9 +10e
Answer:
16e-9
Step-by-step explanation:
===============================================================
In order to simplify this expression, we need to combine like terms:-
[tex]\longrightarrow\sf{6e+10e-9}[/tex]
Add the e's:-
[tex]\longrightarrow\sf{16e-9}[/tex]
Are there any more like terms? No, because 16e and -9 aren't like terms.
====================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Given that log 2 = 0.3010 and log 3 = 0.4771, evaluate log√120 and leave your answer correct to four significant figure
Answer:
1.040
Step-by-step explanation:
log √(120)
= (1/2) log 120
120 = 2³ • 3 • 5
= 0.5(3 log 2 + log 3 + log 5)
Express log 5 in terms of log 2.
log 5 = log (10/2) = log 10 - log 2 = 1 - log 2
= 0.5(3 log 2 + log 3 + 1 - log 2)
= 0.5(2 log 2 + log 3 + 1)
= 0.5(2*0.3010 + 0.4771 + 1)
= 1.03955 or 1.040
Molly also buys a bag of 8 apples for $3.60. Write and
solve an equation to find how much Molly paid for
each apple.
Answer:
each apple is 0.45
Step-by-step explanation:
$3.60 divided by 8 is equal to 0.45.
A chemist needs to mix a 40% hydrochloric acid with a 70% hydrochloric acid to create a 20 oz mixture that is 55% hydrochloric acid. How much of the 70% hydrochloric acid will she need? (don't forget your units)
PLEASE HELP ASAP
Answer:
y=10
Step-by-step explanation:
Are any of these a function
Answer:
Yes because the 1st and 3rd one are functions
Step-by-step explanation:
PLEASE HELP PLEASE 9. A lake has an average depth of 4 feet. A new dam has just been completed, and the average depth of the lake will increase by 1/2 day for the next 8 daysWhich table shows the relationship between the height of the lake y, and the number of days X
Answer:
B
Step-by-step explanation:
I had the same question
Find the point of intersection of the pair of straight lines.
y = −6x − 6
−y = 7x + 3 (x, y) =
Answer: (3, -24)
Step-by-step explanation:
Points A and B have the same x-coordinates but opposite y-coordinates. How many units away are each of the points from the y-axis?
3
4
6
7
Answer:
Each point is 4 units away from the y-axis.
Step-by-step explanation:
Coordinates of point (x, y) defines the distance of the point from y-axis and x-axis.
x-coordinate → distance from the y-axis
y-coordinate → distance from x-axis
Coordinates of A → (-4, 3)
Coordinates of B → (-4, -3)
So both the points have same x-coordinates but opposite y-coordinates.
Therefore, each point is 4 units away from the y-axis.
Graph the line with y-intercept 7 and slope 1/2
Answer:
It's in the attached file :)
Step-by-step explanation:
Which side is opposite angle 0? Which side is opposite angle w? I Which side is adjacent to angle o? Which side is adjacent to angle w? Which side is the hypotenuse?
Answer:
1=b
2=a
3=a
4=b
5=c............
help plz help plz if u are smart
A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 through 10, a jack, a queen, a king, and an ace. Jacob Bearint decides to pick one card at random from a standard deck of 52 cards. What is the probability that the card Jacob chooses is either a four or a six? P ( 4 ∪ 6 ) =
Answer:
2 / 13
Step-by-step explanation:
Number of cards in a standard deck = 52
Number of 4's = 4 ( 1 for each suit)
Number of 6's = 4 (1 for each suit)
Probability, P = required outcome / Total possible outcomes
P(a 4) = 4 / 52 = 1/ 13
P(a 6) = 4 /52 = 1/13
Probability of either a 4 or a 6
P(a 4) + P(a 6)
1/13 + 1/13
= 2 / 13
The area of the shaded region is less than the area enclosed by these rectangles. 600 Estimate - 0.082
Answer:
600 - 0.082 = 599.918
Please help out! Fast
Answer:
40, 15, 2.5
Step-by-step explanation:
If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.
If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.
Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5
Work out the area of a circle with radius of 7.5cm
Answer:
Area of circle is equal A = πr²
Here r = 7.5 and π = 3.142
so,
A = 3.142(7.5)²
A = 176.17 after rounding off.
PLEASE HELP IM USING ALL MY POINT'S PLEASE HELP ME
Answer:
какие
Step-by-step explanation:
x + 4 + 3x = ? halp me please
Answer:
4x + 4 is the correct answer pls brainliest this is my first time on here
in a group of children 3/5 like to play tennis if there are 25 children how many do not like tennis?
Algebraically, find all remaining zeros of f(x) = 8x^3 - 6x^2-36x +27 in simplest form.
SHOW STEPS PLS
Answer:
[tex]x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Given expression is,
f(x) = 8x³ - 6x² - 36x + 27
For zeros of the function,
f(x) = 0
8x³ - 6x² - 36x + 27 = 0
2x²(4x - 3) - 9(4x - 3) = 0
(2x² - 9)(4x - 3) = 0
(2x² - 9) = 0
x² = [tex]\frac{9}{2}[/tex]
x = [tex]\pm\frac{3}{\sqrt{2}}[/tex]
x = [tex]\pm \frac{3\sqrt{2}}{2}[/tex]
Or (4x - 3) = 0
x = [tex]\frac{3}{4}[/tex]
Therefore, all zeros of the given functions are [tex]x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}[/tex].
A man gets an employment salary 1000 per month with annual increment 50 per month what does he earn in 10 years ? please explain step-by-step
7,200,000
Step-by-step explanation:
1000 monthly
Increased by 50 monthly every year
1st year is 150,000
2nd year is 200,000
3rd year is 250,000
4th year is 300,000
5th year is 350,000
6th year is 400,000
7th year is 450,000
8th year is 500,000
9th year is 550,000
10th year is 600,000
Therefore, in ten years, he earns 600,000×12=7,200,000
Which expression is equivalent to x plus 11
Answer:
11 + x
Step-by-step explanation:
addition uses the communtitve property meaning the numbers can be swaped and still result in the same answer
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
use mathly and you don't need to download
Prove that ΔABC is a right triangle.
Answer:
a is a right angle seeing that it is 90°
Step-by-step explanation:
hope that helpz
Which is the net for this rectangular prism, ASAP, please.
Answer:
bottom right
Step-by-step explanation:
all of the others are the wrong shape or do not fully make the rectangle it is the bottom right one.
Based on the model, approximately how many customers will be on the restaurant when there are 10 cars parked in the restaurant’s parking lot?
A - 7
B - 23
C - 12
D - 28
Answer:
23
Step-by-step explanation:
From the graph, derive the best fit equation :
Using the points ;
(0,2.5) (100 ,35)
x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35
Slope formula, m = (y2-y1)/(x2-x1)
m = (35-2.5)/(100-0)
m= (32.5)/100
m = 0.325
The y intercept, value on the graph where best fit line crosses the y axis = 2.5
The equation :
y = mx + c
c = intercept ; m = slope
y = 0.325x + 2.5
y = Number of cars
x = number of customers
The number of customers if there are 10 cars parked :
10 = 0.325x + 2.5
10 - 2.5 = 0.325x
7.5 = 0.325x
x = 7.5 / 0.325
x = 23.076
x = 23
What do you add to 4 4/9 to make 8
You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.
Element X is a radioactive isotope such that every 5 years, its mass decreases by half.
Given that the initial mass of a sample of Element X is 590 grams, how much of the
element would remain after 23 years, to the nearest whole number?
Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
[tex]f(x)=Ab^{\frac{x}{n}}[/tex] ....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , [tex]b=\dfrac12[/tex]
n= 5 years, t = 23 years
Put all values in (i) , we get
[tex]f(23)=590(\dfrac12)^{\frac{23}{5}}\\\\\\=590\times 0.0412346222117\\\\=24.3284271049\approx 24[/tex]
Hence, after 23 years , 24 grams of element would remain.
