Answer:
The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
Step-by-step explanation:
The equation of the line is defined by the following formula:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - y-Intercept.
[tex]m[/tex] - Slope.
In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:
[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)
Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.
By applying (2) in (1), we derive the resulting expression:
[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]
[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]
[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]
[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]
[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)
If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:
[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]
[tex]k+10 -4\cdot k -2 = 20[/tex]
[tex]-3\cdot k +8 = 20[/tex]
[tex]-3\cdot k = 12[/tex]
[tex]k = -4[/tex]
The value of the slope is:
[tex]m = \frac{9-7}{2-6}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
1490 thousand help me get that number because I can't find them
Answer:
1,490,000
Step-by-step explanation:
Answer:
1490000?
Step-by-step explanation:
Find the value of 14/8 + 15/12
Answer:
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
Step-by-step explanation:
Explanation
Given [tex]\frac{14}{8} + \frac{15}{12}[/tex]
L.C.M 8 , 12 is 24
[tex]\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}[/tex]
= [tex]\frac{42 +30}{24} = \frac{72}{24} = 3[/tex]
Final answer:-
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
1.8 divide by 0.72 explain
Answer:
0.40
Step-by-step explanation:
Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
7.2 ÷ 18 = 0.40
and therefore:
0.72 ÷ 1.8 = 0.40
Both calculated to 2 decimal places.
Evaluate the expression you got in part d for b = 8.
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
eheh
What is the slope of the linear function
graphed below?
Answer: C
Step-by-step explanation:
your own words describe the motion of the object shown in the graph be sure to include time travaled distance travald and velocity
Answer:
Step-by-step explanation:
9854
3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3
Answer:
2:3
Step-by-step explanation:
5 in total as you subtract the dudes
I need help, pls !!!
Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]Add: [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{25+100}[/tex]Add: [tex]\displaystyle d = \sqrt{125}[/tex]Simplify: [tex]\displaystyle d = 5\sqrt{5}[/tex]Evaluate: [tex]\displaystyle d = 11.1803[/tex]Round: [tex]\displaystyle d = 11.2[/tex]PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!
Is 5 + 3(1 - x) equivalent to 8 - 8x? EXPLAIN and show your work.
It rains a lot in Longview. On three days it rained 0.4 inches, 0.68 inches, and 1.6 inches. What was the total rainfall for those three days? Explain your answer.
Answer: 2.68
Step-by-step explanation: 0.4 + 0.68 + 1.6
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
H/7 =27 can some one answer this pls
Answer:
h=189
Step-by-step explanation:
solve for H by simplifying both sides of the equation, then isolating the variable.
hope this helped
Please help ASAP !! Via the photo below
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
The graph below shows the solution to which system of inequalities?
m
Select the correct answer.
1
6
1)2
12
Which expression is equivalent to 12
12 + I
I - 6
61 + 5 if no denominator equals zero?
I
2
1
1
O A.
H
B.
12 — 31 + 2
12 91 + 20
12 + I 2
12 1- 20
12 31 + 2
12
20
12 + 31 + 2
12 + 1 - 20
C.
D
--
D.
Reset
Next
help please what type of angle is this, and what is x?
Answer:
50 Pick me brainliest
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°
Subtract 2x from each side.
x=50
XLiV represents 64 true ya false
Answer:
False
Step-by-step explanation:
Given
[tex]XLIV = 64[/tex]
Required
True or False
The above numeral can be split as follows:
[tex]XLIV = XL + IV[/tex]
X means 10 and L means 50.
But because X (10) which is smaller comes before L (50), XL is executed as:
[tex]XL = -10 + 50[/tex]
[tex]XL = 40[/tex]
In Roman numerals;
[tex]IV = 4[/tex]
Substitute 40 for XL and 4 for IV.
[tex]XLIV = 40 + 4[/tex]
[tex]XLIV = 44[/tex]
Hence;
[tex]XLIV = 64[/tex] is false
PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple points
Answer:
i think it the third one but i don't know i'm not in collage math class so...
Step-by-step explanation:
There are 4 circles and 1 triangle what is the simplest ratio
Answer: 1:1 or 2:1
Step-by-step explanation:
if the probability of arriving late to school is 4/8 what is the probability that the complement or opposite event occurrs?
(Answer in fraction form)
Step-by-step explanation:
probability of arriving late is 4/8
probability of arriving early is
1-4/8 =4/8
probability that opposite event occurs is 4/8
The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)
Answer:
It would be equal to 15 - (18)
Answer:
it would actually be (B)
Write 2 min : 1.5 min as a fraction
Step-by-step explanation:2=120 1.5=90
[tex]therefore =3/4[/tex]
I don't understand can someone help me PLZ
Answer:
1/2
Step-by-step explanation:
the circle has 8 pieces so that's how you get the denominator
you count how many A's there are and that is your numerator
so now 4/8 and reduce to get a half
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount
The amount they earn is $200 each.
========================================================
Explanation:
Let's form the equation for the amount Amber earns.
She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.
Overall we can say her equation is y = 150+10x
This is the same as y = 10x+150
----------
Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x
y = 10x+150
25x+75 = 10x+150 .... replace y with 25x+75
25x+75-10x = 150 ... subtract 10x from both sides
15x+75 = 150
15x = 150-75 ... subtract 75 from both sides
15x = 75
x = 75/15 .... divide both sides by 15
x = 5
If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.
That amount earned is
Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars
Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars
Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
https://brainly.com/question/778086
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Susan is a poet . She purchased her materials for $50 and sells her poems for $17 each. She wants to buy a new easel board for $215. How many poems must she sell in order to afford the new easel? Write inequalities for the context
Select the best answer for the question,
15. How many pages does a good résumé have?
Answer:
Two
Step-by-step explanation:
Most likely answer
3/8 × 4/11 =
three eighths times four elevenths
Answer:
12/88, which is 3/22 in simplest form.
Answer:
12/88 Simplified:3/22
Step-by-step explanation:
you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify
Hope that helps:)
plz solve for brainlyest
Answer:
1.80
Step-by-step explanation:
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
Answer:
1/12 lb
Step-by-step explanation:
2/3 x 1/8 = 2/24 = 1/12
Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.
Hope this helps!