The equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
The equation of a line in slope intercept form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex]
m is the slope
(x0, y0) is the point on the line.
Given the following parameters:
m = -5/2 and (x0, y0) =(-4, 7)
Substitute the given coordinates into the formula above;
y - 7 = -5/2(x + 4)
2(y-7) = -5(x+4)
2y-14 = -5x - 20
2y = -5x - 20 + 14
2y = -5x - 6
y = -5/2x - 3
Hence the equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
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HelppppppppConsider the graph.
Answer:
okay
Step-by-step explanation:
o-k-a-y
Pamela is 7 years younger than Jiri. The sum of their ages is 63. What is Jiri's age?
Answer: 35
Step-by-step explanation: (lol I read the question wrong). Basically subtract 7 from 63, then divide 56 by 2 to find Pamela’s age. Then add 28+7 because Jiri is 7 years older than Pamela
Make my life easier and answer number 6
Answer:
18Step-by-step explanation:
To make it easier to understand, consider the exponent of a number with no decimals, with 1 decimal and with 2 decimals:
No decimals - the exponent has no decimals1 decimal - put the number as (a*10⁻¹)ⁿ = aⁿ10⁻ⁿ, there will be n decimals2 decimals - similar to above- (a*10⁻²)ⁿ = aⁿ10⁻²ⁿ, there will be 2n decimalsSince our given number is (0.23)⁹, with 2 decimal places, its exponent will have 2*9 = 18 decimals.
If the slope is 3/4 what does 3 tell us to do?
We need to move
type your answer
3 in the positive direction,
Answer:
You need to move to move up 3 because the number is positive.
Step-by-step explanation:
If the numerator is positive you move up, if it is negative you move down. For the denominator (the number on the bottom) you move to the right if positive or the left if negative.
Please help quickly! Find the length of the third side. If necessary, write in simplest radical form.
Answer: [tex]\sqrt{11[/tex]
Step-by-step explanation: pythagorean theorem a^2 + b^2 =c^2
switch it to c^2 - b^2 = a^2
c=6 and b=5
(6)^2 - (5)^2 = 36-25 which is 11
11=c^2. to find c, square root 11. the simplest form for this is just [tex]\sqrt{11[/tex]
This Assignment is bloody confusing. PLEASE HELP
Step-by-step explanation:
A = Future value of the amount invested
P = principal (amount of money invested) = $9,200
i = interest rate = 6% or 0.06
n = number of compounding periods (it is the number of times the interest is compounded).
For the Interest Rate per Compounding Period column, you'll have to divide the interest rate by its corresponding compounding period (please see the definitions of each compounding periods below). For example, the interest rate per compounding period (compounded annually) = interest rate ÷ number of compounding periods ( [tex]\frac{i}{n}[/tex] ) = 0.06/1 = 0.06 or 6%
For the Number of Compounding Periods column, you'll have to multiply (t ) by the number of compounding periods (n):
t × n = 15 years × 1 = 15
The Compound Interest Formula column is pretty self-explanatory--you'll just have to follow the given formula. You need to make sure that you change the values for i and n for every row.
Compounding periods (n):
compounding annually: n = 1
compounding semiannually: n = 2
compounding quarterly: n = 4
compounding monthly: n = 12
compounding weekly: n = 52
compounding daily: n = 365
You'll have to use these values into your Compound Interest formula.
I will do the 2nd row (semi-annually) for you as a guide, but you'll have to do the rest so that you could familiarize yourself on how to do it.
Interest Rate per Compounding Period = i / n = 0.06/2 = 0.03 or 3%
Number of Compounding Periods = t × n = 15 years × 2 = 30
Compound Interest Formula: [tex]A = 9,200(1 + 0.03)^{30}[/tex]
Final Amount = 22,330.81
2(x-1)+4=-(x+6)+5
..
x = -1
Step-by-step explanation:
2(x - 1) + 4 = -(x + 6) + 5
2x - 2 + 4 = -x - 6 + 5
2x + 2 = -x - 1
2x + x = -1 - 2
3x = -3
x = -1
Solve the system of linear equations by graphing x - 3y = 3 4x + 3y = - 3
Answer:
Assuming your equations are:
x-3y=3
4x+3y=-3
The answers are x = 0 and y = -1.
See the image for the graph.
If this solution helped you, consider upvoting it and giving a brainliest!
Step-by-step explanation:
See the image for the graph.
$290, 12.5%, 6 months =?
Answer:
18.125
Step-by-step explanation:
290 × 0.125 x 0.5 → I = 18.125
1 step multiplication equation that equals 20
Answer:
5x4
Step-by-step explanation:
5x4=20
Answer:
2 times 10 equals 20, or 5 times 4 equals 20.
Step-by-step explanation:
This is as simple as understanding what multiplies together to equal 20. I hope this helps!
A marathon runner covers a distance of 42.2 kilometers in 2 hours and 36
minutes. What was his average speed in kilometers per hour? *
Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?
Answer:
yes
Step-by-step explanation:
5/8 times by 1/12
What is the answer in its simplest form?
Answer: 5/96
Step-by-step explanation:
Need help ASAP! Directions in picture;)
Answer:
[tex]x=61[/tex]
Step-by-step explanation:
We can find the angle directly above the [tex]2x+8[/tex].
We know that because they both lie on a straight line, the other angle is [tex]180-(2x+8)=172-2x[/tex].
Aha! We have a path to the solution!
[tex]172-2x=x-11[/tex] because of the parallel line angle theorem(I forget what it's called).
We then add [tex]2x[/tex] and [tex]11[/tex] to both sides to get [tex]183=3x[/tex].
Lastly, we divide by [tex]3[/tex] to get [tex]61=x[/tex].
So, [tex]\boxed{x=61}[/tex] and we're done!
How do find a slope???? I'm so confused
Answer:
Slope =rise/run Slope = rise/run
Explanation:
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run
One angle of an isosceles triangle is known to be 68°. What would be one of the other angles?
a 44°
b 55°
c 66°
d 112°
Answer:
44
Step-by-step explanation:
Isosceles triangles have two angles that are equal. If the two equal angles are 68
We have 68, 68, and an unknown angle x
They add to 180
68+68+x = 180
136+x=180
x =180-136
x =44
CAN SOMEONE PLEASE HELP!!! IM GONNA FAIL, ILL GIVE U BRAINLIST
What are the coordinates of F after a reflection over the line y=1? Give your answer in the format (#,#)
Answer:
So for the coorfinates of F, you have to see how far it is from y=1. The F is 2 points under the 1 so you have to count 2 above the 1. So the point would be (7,3). Same for the other ones. For example like D. It's 2 above 1 so its going to be 2 under which would result in (1, -1)
If P(6, -2), Q(-2, 8), R(-4, 3), and S(-9, y), find the value of y so that line PQ ⊥ line RS.
Answer:
420-69
Step-by-step explanation:
i felt like that was the answer
Zack and his older brother Luke have ages that are consecutive odd integers. If Zacks age is x, Luke's age can be represented as
Answer:
x+2
Step-by-step explanation:
This is because they are both odd numbers, and rather than Luke being the younger brother, ad having to subtract, he is the older brother so you have to add.
Hope this helps!
A 1 pound bag of sunflower seeds provides 96 grams of protein
20 m
20 m
6m
30 m
Area of the farm =
square meters
Area of the garden =
square meters
Answer:
Area of the farm is 600m²
Area of the garden is 120m²
Step-by-step explanation:
30m x 20m = 600m²
6m x 20m = 120m²
Name:
Unit 1 Lesson 7 Practice
kylie
Hour:
1. A scale drawing of a school bus has a scale of Vainch to 5 feet. If the length
of the school bus is 4 va inches on the scale drawing, what is the actual
length of the school bus? Explain or show your reasoning.
Answer:
45 feet
Step-by-step explanation:
4 and 1/2 inches
1/2 =5 feet
put the mixed number into an improper fraction
9/2 *5 = 9*5 = 45 feet
If you can purchase 4 books for $254, how much did each book cost?
Answer:
$63.50
Step-by-step explanation:
63.5 that's the answer am good at maths
pls answer the problem below
Answer:
455 miles and 490 miles.
Step-by-step explanation:
You multiply each rate of speed (miles) by how much time they give.
Help pls!
Given the expression -15 (10 2/3). Rewrite the expression using Distributive Property.
Answer:
-160
Step-by-step explanation:
Hope this helps.
Write the square root of z^3z^4 as an algebraic expression using a rational exponent
Answer:
[tex]z^{7/2}[/tex]
Step-by-step explanation:
sqrt[(z^3)(z^4)] = [tex]\sqrt{z^7}[/tex] = [tex]z^{7/2}[/tex]
Select all the statements that best describe the graph below.
The Correct choices are :
The Rate of change is not constant The dependent variable is number of book salesThe independent variable is dayThe relationship is non - linear This is a negative relationshipThe vertices of a trapezoid are shown below.
I NEED THE ANSWER ASAP
(0 , 6), (5 , 12), (5 , 9), (0 , 12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of ?
A.
(6 , 0)
B.
(10 , 18)
C.
(7 , 14)
D.
(2.5 , 6)
Answer:
D
Step-by-step explanation:
(2.5 , 6)
Find the approximate circumference of a circle with a diameter of 10 cm.
Answer: C = 31.42cm
Step-by-step explanation:
Help with this pretty please Will mark brainlest