Step-by-step explanation:
For this problem, you'll need two formulas:
Slope: y1 - y2/x1 - x2
Point Slope: y - y1 = m(x - x1)
First thing you need to use is the slope formula.
Plugging in your coordinates gives you:
[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]
You can simplify this by getting rid of the negatives since two negatives make a positive.
Now to use the point slope formula.
For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).
I'll be using the point (2,3). Now plug everything in:
[tex]y-3=\frac{5}{2} (x-2)[/tex]
First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:
[tex]y-3=\frac{5}{2} x-5[/tex]
Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:
[tex]y=\frac{5}{2} x-2[/tex]
Hope this was helpful, good luck :)
Taffy Twists candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The Mega Pack has 40 strawberry candies and 50 banana candies. The Party Pack has 20 strawberry candies.
How many banana candies are in the Party Pack?
Answer:
25 bananas
Step-by-step explanation:
You halved the strawberry number (from 40 to 20) ....half the banana number = 25
Please read the picture
This solid is a hemisphere with a 90° slice removed and a radius of 12
Answer:
Step-by-step explanation:
u don't know this silly question
by how much is (3/4 + 1/12 + 2/3) greater than 1
Hey there!
3/4 + 1/12 + 2/3
= 5/6 + 2/3
= 5/6 + 4/6
= 5 + 4 / 6
= 9 / 6
= 9 ÷ 3 / 6 ÷ 3
= 3/2
≈ 1.5
1.5 - 1 = 0.5
Therefore, your answer is: 0.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answer:
(x + 2)(x + 8)
Step-by-step explanation:
x² + 10x + 16
consider the factors of the constant term (16) which sum to give the coefficient of the x- term.
the factors are + 2 and + 8 , since
+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then
x² + 10x + 16 = (x + 2)(x + 8) ← in factored form
Answer:
answer in picture
Step-by-step explanation:
Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing
Answer:
He used to receive $14.50.
Step-by-step explanation:
Let x = amount he used to receive.
Now he receives 2x - 4.
Now he receives $25.
2x - 4 = 25
2x = 29
x = 14.5
Answer: He used to receive $14.50.
Answer:14.5
If you want a full step explanation: https://brainly.com/question/19345016
1+3+5+7+...+25 is subtracted from 2+4+6+8+...+26. The answer is
[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]
[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]
Answer:
13
Step-by-step explanation:
2 + 4 + 6 + 8 + ...... + 26
n = 13
Sum of first 'n' even numbers = n( n +1)
= 13 * 14
= 182
1 + 3 + 5 + 7 + .....+25
n = 13
Sum of first 'n' odd numbers = n²
= 13 * 13
= 169
2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169
= 13
3x + 14 / 8 = -5
And also need to do the check ♀️
How many real-number solutions does the equation have?
0=-7x² +6x+3
A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions
Answer: B. two solutions
im guessing
If a = 12 feet, b = 6 feet, c = 2 feet, d = 15 feet, and e = 3 feet, what is the area of the object?
Answer:9282
Step-by-step explanation:
Please do help me with this math problem.
before his shopping spree, Ahab owned 11 hats. Then he bought 33 more hats. what is the ratio of hats purchased to the resulting total number of hats.
What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
Radical equations and expressionGiven the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
Learn more on radical expression here: https://brainly.com/question/738531
Answer:
B x = 3
Step-by-step explanation:
Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8
Answer:
x<10
Step-by-step explanation:
I think that's the only one
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Paul works at at the bucket of Cracker Barrel and makes $8.25 an hour plus tips. Paul averages $110 in tips during an 8 hour shift. Paul typically works 40 hours A week and he works 48 weeks out of the year the other 2 weeks he gets paid vacation time during this time he earns his base hourly rate for 40 hours a week what is his gross annual income?
Answer:
330.00
Step-by-step explanation:
i think thats the answer someone would have to double check but this is what i did the get that
How much overtime pay do you get for working 40 hours if you get the following pay scale:
8.25 for all hours up to 40
110 for all hours in excess of 40
Calculate Total Pay
Total Wages = Regular Rate x 40 Hours + Overtime Rate x (Hours - 40)
Total Wages = 8.25 x 40 Hours + 110 x (40 - 40) Hours
Total Wages = 8.25 x 40 Hours + 110 x (0) Hours
Total Wages = 330 + 0
Total Wages = 330.00
If x - 3/x = 7 find i) x² + 9/x²
ii) x + 3/x
iii) x² - 9/x²
[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]
[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]
[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]
Question is in image below.
Answer:
-9/25, -0.bar 3, √24, 4.92
Answer:
[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]
Step-by-step explanation:
We first have to expand -0.3, -9/25, and sqrt(24). Then we determine which is least and which is greater.
-0.3 = -0.3333...
-9/25 = -0.36
[tex]\sqrt{24}[/tex] ≈ 4.8989799486
4.92
[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]
don't understand at all
Step-by-step explanation:
you would have to add the the sides and use context to find out the blank rectangles
What is 8 divided by 1/2
Answer:
[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]
3.5
B
S
A
7
ΔΑΒC ~ ΔQRS
Find the value of t.
Τ
4
C
R
Answer:
x = 0.5
Step-by-step explanation:
3.5/x = 7/4
3.5/x * 1/3.5 = 7/4 * 1/3.5
x = 7/14
x = 1/2
x = 0.5
What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔
Answer:
y - 3 = 2/3(x - 5)
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.
Makes it a lot cleaner and easier to work with.
Hope this helps you :)
What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6
Answer:D
Step-by-step explanation:
The slope of a line will be 1/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(-6,3) and (12,6)
(x₁, y₁) = (-6,3)
(x₂, y₂) = (12,6)
Then the slope of a line will be
Slope = (6 – 3) / (12 + 6)
Slope = 3 / 18
Slope = 1/6
Then the correct option is D.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left
Answer:
4
Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.
Answer: 4 toys
Step-by-step explanation:
We will multiply 3 by 30 for how many toys he can currently put into boxes.
3 * 30 = 90
Now we will subtract this from the total number of toys for our answer.
94 - 90 = 4
There are 4 toys left.
Which is the same as dividing a number by 10?
pls help I need it pls
Answer:
Splitting that number into 10 equal wholes.
Step-by-step explanation:
(fractions)
distributive property
Answer:
9 x 6= 9 x ( 3+3 )
= 9 x 3 + 9 x 3
= 27 + 27
= 54
Step-by-step explanation:
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
Answer: 12-233 24353252345
Step-by-step explanation:
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
HELP ME WITH THIS LOL
Find the value of X if a = 25 and b = 11, Round to the nearest tenth.
Answer:
x = 19.9
Step-by-step explanation:
These kinds of problems have a specific formula.
Formula: outside (whole) = outside (whole)
We could substitute our variables into this.
For the first line, our outside segment is b and the whole thing is a + b
For the second line, our outside segment is x, and the whole thing is x.
[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]
The [tex]\sqrt{396}[/tex] = 19.8997487421
Rounding to the nearest tenth, your answer is 19.9
Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Who is a lender?It should be noted that a lender simply means an individual or an organization that lends people money.
In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Learn more about lender on:
https://brainly.com/question/25882989
Answer:
It's
A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.
Step-by-step explanation:
Can someone please help me ASAP
Find the length of the unknown side of each triangle.
Step-by-step explanation:
The Pythagorean theorem states that a^2+b^2=c^2.
For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)
[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]
For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):
[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]
I hoped this had helped.
I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
A. math
B. theater
C. English
D. geography
Answer: the answer is Math and i took the test