Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
Factorise
0=X^2+3x-3
Answer: x = 0.79128784 and -3.79128784
Step-by-step explanation: Round them up
Factorizing an expression involves writing the expression in simpler forms
The expression cannot be factorized.
The expression is given as:
[tex]0 = x^2 + 3x - 3[/tex]
Rewrite the expression as:
[tex]x^2 + 3x - 3 = 0[/tex]
The above expression cannot be factorized.
This is so because 3x can not be expressed using terms that have the product of -3 and x^2
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During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Explain how you found your answer.
Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
4. Diagram A represents the area enclosed by a shopping mall.
Diagram A
B
6 inches
What is the length of side AC of the actual mall, in feet?
A
С
8 inches
Answer:
feet
Scale: 1 inch = 300 feet
Answer:
The answer is 2,400:)
Step-by-step explanation:
8×300 is 2400
sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?
Answer:] ):::::::::::
Step-by-step explanation:
ways to write 25 percent of n,
Answer:
0.25n = 25/100n = n/4
Step-by-step explanation:
25% of n = ...
0.25n = 25/100n = n/4
and any of an infinite number of equivalent expressions.
Convert each of the ingredient amounts below from ounces to fractions
Example: 8.2 = 8 2/10 *
2 points
Puppy Chow Trail Mix
• Trail Mix:
• 1 (12.65 ounce) can salted peanuts
• 1 (10.5 ounce) package miniature marshmallows
• 1 (3.2 ounce) package sunflower seeds
• 1(1.69 ounce) package candy-coated milk chocolate pieces (such as M&M's(R))
• 1 (1.5 ounce) box raisins
Your answer
Answer:
12.65 = 12 65/100
= 12 13/20
10.5 = 10 5/10
= 10 1/2
3.2 = 3 2/10
= 3 1/5
1.69 = 1 69/100
1.5 = 1 5/10
= 1 1/2
Step-by-step explanation:
The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
Given that, salted peanuts = 12.65 ounce.
How to convert decimals to fractions?Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.
Now, salted peanuts = 12.65 ounce in fraction is
12.65 = [tex]12 \frac{65}{100}[/tex]
= [tex]12 \frac{13}{20}[/tex] ounce
10.5 ounce package miniature marshmallows
In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]
= [tex]10 \frac{1}{2}[/tex] ounce
3.2 ounce package sunflower seeds
In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]
= [tex]3 \frac{1}{5}[/tex] ounce
1.69 ounce package candy-coated milk chocolate pieces
In fraction [tex]1 \frac{69}{100}[/tex]
1.5 ounce box raisins
In fraction [tex]1 \frac{5}{10}[/tex]
= [tex]1 \frac{1}{2}[/tex]
Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
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One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.
Answer:
The other small angle is 53.5 degrees
Step-by-step explanation:
We know that a right triangle has to have a 90 degree angle and 2 other small angles.
All triangles when adding up all of their "degrees" has tp equal 180 degrees.
Since we know that there is a 90 degree angle and a 36.5 degree angle.
All we have to do is add 90 plus 36.5, then subtract that sum onto 180.
90 + 36.5 = 126.5
180 - 126.5 = 53.5
So the answer is 53.5 degrees.
Hope this helps! :)
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A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.
Missing angle = sum of angles in a triangle - (sum of the two given angles)
Missing angle = 180 - ( 90 + 36.5)
180 - 126.50
= 53.5 degrees
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Write an equation in slope-intercept form of the line that passes through the points.
Answer:
y=-2x
Step-by-step explanation:
M= y2-y1/x2-x1
= 6-0/-3-0
= 6/-3
= -2
when X is 0 Y is also so C is 0
Maths Question:
Transformations
Step-by-step explanation:
I don't know what is the answer I can explain it
Answer:
(-2, 2) (-4, 2) (-4, 5)
Step-by-step explanation:
The coordinate for A are (2, 2) (4, 2) and (4, 5).
When you reflect across the x=axis the y coordinates become negative.
(2, -2) (4, -2) (4, -5)
y = x is a diagonal line through the origin, and all of the points change signs.
(-2, 2) (-4, 2) (-4, 5)
Plot the 3 points for the triangle.
which statement is true about the function shown in the graph?
please help and only answer if you're for sure it's correct
Answer:
the function is increasing
PLEASEEE HELPPP!!!!!
Answer:
-5+.3
Step-by-step explanation:
eeeeeeee
Write an equation in slope-intercept form of the line that passes through (1,-9) and (3,-7)
Answer:
Y= x-10
Step-by-step explanation:
M= Y2-Y1/X2-X1
= -7-(-9)/3-1
= 2/2
= 1
sub x=1 and y=-9 into Y=MX + C
-9=1+C
-9-1=1+C-1
C=-10
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31
(2/5)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =_____
Please help quick!
Thanks!
Answer:
Step-by-step explanation:
=(2/5)2 ×100÷23+[24÷8]=(2/5)2×100÷23+3=16÷23+3=16/23+3=85/23final result:⇔(2/5)2×100÷23+[24÷(13-5)]=85/231.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F
which table shows a proportional relationship. i meed help
i NEED help pleaseee
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work
Answer:
----->
Step-by-step explanation:
The weight of the 60kg load is (m g) = 588 Newtons. (Force x distance) = (588 N) x (12 m) = 7,056 Joules of work.
The sum of the interior angles of
an n-sided polygon is 3600. The
value of n is [? ].
=====================================================
Work Shown:
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
3600 = 180(n-2)
3600/180 = n-2
20 = n-2
20+2 = n
22 = n
n = 22
2. Given < MCP = 65°, find the measurement of arc MP , arc MRP and < MRP.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know that the Angle subtended by an arc on centre of the circle is double as that of Angle subtended by the same arc on the circumference (boundary) of the circle
So,
[tex] \sf \angle MCP = 2\angle MRP[/tex][tex] \sf65 \degree = 2 \angle MRP[/tex][tex] \sf\angle MRP = 65 \degree \div 2[/tex][tex] \sf\angle MRP = 32.5 \degree[/tex]Answer:
arc MP = 65°arc MRP = 295°angle MRP = 32.5°Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends.
arc MP = ∠MCP = 65°
Long arc MRP is the difference between arc MP and the full circle:
arc MRP = 360° -65° = 295°
Inscribed angle MRP is half the measure of the arc it subtends:
∠MRP = (arc MP)/2 = 65°/2 = 32.5°
the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?
Step-by-step explanation:
if I understand correctly, then the function is
t(x) = 8x
now we know, that for a specific n
t(n) = 200
that means
200 = 8n
n = 200/8 = 25
the function tells us, that for 25 trucks we need 200 tires.
Can someone please help me with this easy math problem?
Here is my answer. I hope it is helpful.
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Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
A: He did not make any errors.
B: Step 1: He wrote −4.4 incorrectly as + 4.4.
C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.
In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.
So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7
In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.
So the original problem is −8.3 + 9.2 − 4.4 + 3.7 which results 0.2 but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9
Actually the answer is B. cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.
last question for this assiment
Answer:
B. Distinct Parallel lines.
Step-by-step explanation:
Solve for x if log(2x-7) = 0
Answer:
x=4
Step-by-step explanation:
log(2x-7) = 0
10^[log(2x-7)] = 10^0
2x-7 = 1
2x = 8
x = 4
All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer
A two-way relative frequency table consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.
Shift Response
Yes No Total
Day
67% 33% 100%
Night
23% 77% 100%
Total
45% 55% 200%
In this table there is data relating to two categories day/ night and yes/no.
Along the rows the percentages of the day/night data are calculated.
Along the columns the percentages of the yes/no data are calculated.
Shift Response
Yes No Total
Day 67/100*100 33/100 *100 100
= 67% =33% 100%
Night 23/100*100 77/100*100 100
= 23% =77% 100%
Total 90/200 *100 110/200*100 200
= 45% = 55% 200%
These calculations are done by dividing the row cells by their respective row totals.
Similarly the columns cells are filled by dividing the column cells with their respective column totals.
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The park charges $95.00 to reserve the location, and then $5.00
per person. Which expression represents the total cost for any
number of people n?
PLS HELP ITS DUE TMR
Answer:
95.00 + 5n
Step-by-step explanation:
It cost 95 dollars to reserve the location, first. Then, you have n amount of people coming and there is 5 per n, which is 5n. Therefore, 95 + 5n.
Byron opened a new bank account and immediately started depositing d dollars per week. He also withdrew w dollars per week to pay expenses. The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw . Which of the following is a factor of M?
A d - w
B n - w
d - n
D n - c
Answer: b i just took the test
Step-by-step explanation:
Option A is correct, d - w is a factor of M whose equation is M=nd-nw.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that Byron opened a new bank account and immediately started depositing d dollars per week.
Byron also withdrew w dollars per week to pay expenses.
Byron also withdrew w dollars per week to pay expenses.
The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .
M equal to n times of d minus n times of w.
We can factor out the common factor of n from the expression for M
M = nd - nw = n(d - w)
Therefore, n is a factor of M.
Hence, option A is correct, d - w is a factor of M whose equation is M=nd-nw.
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answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved.
Answer:
y=6+8
y=14
Step-by-step explanation:
y=14 is the answer to this question
Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.
The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Using this formula
PVA=Principal [(1-rate)^time/rate]
Let plug in the formula
PVA=45000[(1-(1+0.031)^(-25))/0.031]
PVA=45000[(1-(1.031)^-25)/0.031]
PVA=45,000(1-0.4661582427091)/0.031
PVA=45000(0.533841757290/0.031)
PVA=45000(17.22070184809)
PVA=$774,931.58
Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
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