Name
PARTITION A DIRECTED LINE SEGMENT
1. Given G(-5,5) and H(4, -7), find the coordinates of p so that p partitions GH in the ratio 1:2.
Point P?
Answer:
The coordinates of point P are (-2, 1)
Step-by-step explanation:
The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are
x = [tex]\frac{mx2+nx1}{m+n}[/tex]y = [tex]\frac{my2+ny1}{m+n}[/tex]∵ P partitions segment GH in a ratio 1: 2
∴ P = (x, y)
∴ m = 1 and n = 2
∵ G = (-5, 5) and H = (4, -7)
∴ x1 = -5 and x2 = 4
∴ y1 = 5 and y2 = -7
→ Substitute them in the rule above to find x and y
∵ x = [tex]\frac{1(4)+2(-5)}{1+2}[/tex] = [tex]\frac{4-10}{3}[/tex] = [tex]\frac{-6}{3}[/tex]
∴ x = -2
∵ y = [tex]\frac{1(-7)+2(5)}{1+2}[/tex] = [tex]\frac{-7+10}{3}[/tex] = [tex]\frac{3}{3}[/tex]
∴ y = 1
∴ The coordinates of point P are (-2, 1)
What is the formula for the area A of a circle in terms of the radius r?
Answer:
n * r ^2
Step-by-step explanation:
WRITE IN STANDARD FORM PLZZZZZ RN I NEED IT NOW
Answer:
- 4x² - 8x + 13
Step-by-step explanation:
To obtain g(h(x)) substitute x = h(x) into g(x), that is
g(x² - 4 + 2x)
= - 4(x² - 4 + 2x) - 3 ← distribute parenthesis by - 4
= - 4x² + 16 - 8x - 3 ← collect like terms
= - 4x² - 8x + 13 ← in standard form
SOLVE OR NO HAMBURGER FOR YOU NOM NOM NOM!!!!!!
Answer:
One person is 37 years old.
Step-by-step explanation:
In the 30's category, there is only one number that indicates 37.
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis
Question options:
x-y, y-x
y-x, x-y
x, y
y, x
Answer:
x, y
Step-by-step explanation:
Which equation has infinitely many solutions?
5x - 5 = 0
5x - 5 = 5x
5x - 5x = 0
Answer:
the equation that has infinite solutions is
5x-5x=0.
Answer:
5x-5x = 0
the third one.....
Cameron is making a rectangular picture frame. The height of the frame is 6 inches
longer than its width. The perimeter of the frame is 76 inches. Which of these
systems of equations below best describes the dimensions of the picture frame?
Whats on the photo are the answer choices
A: h+w=6
h+w=76
B: h-w=6
2h+2w=76
C: h+w=6
2h+2w=76
D: h-w=6
h•w=6
Answer:
Its the second answer choice, hopefully I'm not to late
Step-by-step explanation:
The perimeter of the rectangle is given as,
P = 2 (h + w)
The dimensions of the picture frame can be best described by
h - w = 6
2h + 2w = 76
Option B is the correct answer.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
A rectangular picture frame.
Width of the rectangle = w
The height of the frame is 6 inches longer than its width.
This can be written as,
h = w + 6 _____(1)
The perimeter of the frame is 76 inches.
The perimeter of the rectangle is given as,
P = 2 (h + w)
Now,
76 = 2 (h + w)
76 = 2h + 2w ______(2)
From (1) and (2) we get,
h - w = 6
2h + 2w = 76
Thus,
The dimensions of the picture frame can be best described by
h - w = 6
2h + 2w = 76
Option B is the correct answer.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2
1 7/9 as a mixed number
Answer:
1 8/9
Step-by-step explanation:
Answer:
Step-by-step explanation: 17/9 = 1 and 8/9
Question 11
1 pts
The value of x is 10 more than 5 times the value
of y. The sum of the two numbers is 4. Write
two equations and graph to find the values of x.
and y.
Answer:
Step-by-step explanation:
x= 5y+10
x+y=4
Which of the following equation is not a possible point-slope form of the linear equation 4x - 6y=12
1) y-4=4/6(x-9)
2) y+6=4/6(x+6)
3) y+5=4/6(x-8)
4 y-2=4/6(x-6)
Answer:
3
Step-by-step explanation:
Pls answer. Will give brainliest...
Answer:
45 square meters
Step-by-step explanation:
Area of a rectangle= length*width
A=9*5
A=45
Mary has a Garden in which are 3 mango trees,2 papaya tress and 4 avocado tress. How many trees are in her garden??
3 options
10
4
9
Answer:
She has 9 trees. 3+2+4=9. (3+2)=5+4=9
Olivia's family drove to Disneyland for spring break. Her mom and dad shared driving duties for a total of 14 hours. Her mom drove 65 miles per hour and her dad drove 60 miles per hour. They drove a total of 895 miles. How many hours did each person drive.
Answer: Dad = 3 hours
Mom = 11 hours
Step-by-step explanation:
Let the number of hours driven by her mum be m.
Let the number of hours driven by her dad be d.
We can form equation from the question as:
d + m = 14 ........... i
60d + 65m = 895.......... ii
Since d + m = 14, d = 14 - m
Substitute 14 - m into d in equation ii
60d + 65m = 895
60(14 - m) + 65m = 895
840 - 60m + 65m = 895
840 + 5m = 895
5m = 895 - 840
5m = 55
m = 11
The mother drove for 11 hours
Since d + m = 14
d + 11 = 14
d = 14 - 11
d = 3
The father drive for 3 hours
2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7
Answer:
X = 4, x = -7
Step-by-step explanation:
You can set each equation in the parenthesis Equal to 0.
x - 4 = 0 and x + 7 = 0
start with x - 4 =0
add 4 to both sides
x = 4.
then do x +7 =0. subtract 7 from both sides.
x = -7
so x =4, and x = -7
how much 18 twenty-fours , doubled
Answer: I believe 864 because 24 times 18 equals 432 and that doubled is 864
Step-by-step explanation:
Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?
Answer:
45
Step-by-step explanation:
Given that :
Voucher awarded (x) :
Repair = $50
Lose or destroy = $200
P(x):
Replacement voucher = 5%
Repair voucher = 10%
X ______ 50 ______ 200
P(x) ____ 0.1 _______ 0.05
Expected variance Var(X) :
ΣX²p(x) - E(x) ;
E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15
ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250
Var(X) = 2250 - 15^2 = 2025
Standard deviation = √Var(x)
Standard deviation = √2025
Standard deviation = $45
help asap i give brainlist
Answer
equation: 2(3x-9) + 2(2x+4)= 60
length: 36 meters
width: 24 meters
Step-by-step explanation:
2(3x-9) + 2(2x+4)= 60
6x-18 + 4x +8 =60
60+18-8= 10x
70=10x
x=7
length- 2(2(7)+4) = 36
width- 2(3(7)-9)= 24
Alex went to the store to buy supplies for peanut butter and jelly sandwiches for his birthday party. He bought bread for $3.29 for each loaf, peanut butter for $2.99 per jar and jars of jelly. The total cost was $23.64. If Alex bought three of each item, what was the cost of one jar of jelly?
1. Define the variable. =
2. Equation to be solved =
3. One jar of jelly cost =
Answer:
Define the variable: The variable is the cost of one jar of jelly
Equation to be solved: Refer to Step by Step
One jar of jelly cost: 1.60
Step-by-step explanation:
total bread cost: 9.87
total peanut butter cost: 8.97
total jelly cost: x
so 23.64 - (9.87 + 8.97) = x
simplified: 23.64 - 18.84 = x
even more simplified: 4.80 = x
so 3 jars of jelly is 4.80
so divide
4.80 divided by 3 = 1.6
so one jar of jelly costs 1.6
Please help this is 9th grade math all I know is that the answer is not C
Answer:
option 1 is the answer because both of the equations are same
PLEASE ANSWER I GIVE BRAINLIEST write an equation of a line with m=6 that passes through (7,-5)
Answer:
y = 6x - 47
or
6x - y - 47 = 0
Step-by-step explanation:
[tex]y - y_{1} = m(x - x_{1} ) \\ \\ plug \: x_{1} = 7 \\ y_{1} = - 5 \\ m = 6 \: in \: the \: above \: equation \\ y - ( - 5) = 6(x - 7) \\ \\ y + 5 = 6x - 42 \\ \\ y = 6x - 42 - 5 \\ \\ y = 6x - 47 \\ \\ or \: 6x - y - 47 = 0[/tex]
What is the value ofx in the equation 2(6x+4)-6+2x=3(4x+3) + 1
1
3
4
6
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Step 2: Solve for x
Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1Combine like terms: 14x + 2 = 12x + 10Subtract 12x on both sides: 2x + 2 = 10Subtract 2 on both sides: 2x = 8Divide 2 on both sides: x = 4Joshua is raking leaves. He has of the yard left to rake. He splits the remaining yard into sections that are the size of the entire yard. How many sections of the yard are left for Joshua to rake?
Answer: 2???????
It's too short. Write at least 20 characters to explain it well.
Answer:
the answer is 12 or 12/18
Step-by-step explanation:
you turn the 2/3 into 12ths
Sorry about the rainbow stuff but what’s the answer
Answer:
16 strips
Step-by-step explanation:
37.75/2.25=16.8...
Since you can't cut a fraction of what they need, 16 should be the answer
hope this helps :)
A researcher performed an analysis of the elemental composition of several fish species living in the
same body of water. The amount (in parts per million) of iron (Fe), calcium (Ca), potassium (K), sodiumBased on this data, identify which elements are found in similar concentrations across all species of fis
tested. Explain how this data provides support for the hypothesis that all four species of fish descended
from a common ancestor.
Answer:
Step-by-step explanation:
the step by step explanation is that Fe has 55.70 it either goes up or down because of scientifc explanation same with the Ca, K, Na, Mg
37 points Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
11a + d
30a+(6a⋅d)
30a+6ad
30ad
(6a⋅5)+(6a⋅d) there is more than one answer
Answer:
B AND C
Step-by-step explanation:
State the triangle congruence theorem that can be used to prove triangles congruent.
SSS
SAS
AAS
ASA
HL
Cannot Be Determined
Answer:
ASA
Step-by-step explanation:
Amin is attempting to solve the following equation. (x+1)(x+4)=(x-2)(x-3) solve the equation
Answer: x = 1/5
After expanding, (x+1)(x+4) = (x-2)(x-3) becomes x² + 5x + 4 = x² - 5x + 6. Subtracting x² and adding 5x to both sides, we have 10x = 2 and x = 1/5. You can plug this in to check.
i hope this was helpful! :D
Step-by-step explanation:
Hey there!
Given;
(X+1) (X+4) = (x-2) (x-3)
Multiply (X+1) and (X+4) on left side and (x-2) and (x-3) on right side.
[tex] {x}^{2} + 4x + x + 4 = {x}^{2} - 3x - 2x + 6[/tex]
Simplify it.
[tex]5x + 4 = - 5x + 6[/tex]
[tex]10x = 6 -4[/tex]
[tex]x = \frac{2}{10} [/tex]
Therefore, x= 1/5.
Hope it helps....
determine the end behavior of the polynomial function.
f(x) = 5x ^ 4 - 4x ^ 3 + 3x ^ 2 + 4x - 1
A) rises to the left and rises to the right
B) falls to the left and falls to the right
C) falls to the left and rises to the right
D) rises to the left and falls to the right
9514 1404 393
Answer:
A) rises to the left and rises to the right
Step-by-step explanation:
An even-degree polynomial function with a positive leading coefficient, like this one, generally has a U-shaped graph. Its end behavior is ...
A) rises to the left and rises to the right
I really need help does anyone know the answer?????????
Sarah walked 1 mile yesterday. Today she will walk at a rate of 3 miles per hour. Which graph shows her two-day total walking distance, d, based on the number of hours, h, that she spends walking today?
Answer:
Graph C
Step-by-step explanation:
If a graph represents the linear equation,
d = mh + b
Here 'm' = slope of the line
b = y-intercept
d = Distance traveled
h = duration or time
For the given question,
Slope of a line represents the rate of change in distance or speed and y-intercept represents the initial distance traveled or the distance traveled on 1st day.
So the equation will be,
d = 3h + 1
Input-output values for the graph,
h 0 1 2 3 4
d 1 4 7 10 13
We find all these points lying on a straight line give in Graph C.
