Answer:
y - 5 = (-6/11)(x - 7)
Step-by-step explanation:
Looking at the points (7, 5) and (-4, -1), we see that x decreases by 11 (from 7 to -4) and y decreases by 6 (from 5 to -1). Therefore, the slope of this line is m = rise / run = -6 / 11.
Start with the point-slope form y - k = m(x - h). Substitute the x- and y-coordinates of one of the given points for h and k in the above form:
y - k = (-6/11)(x - h) => y - 5 = (-6/11)(x - 7)
This is the equation of the line in question, in point-slope form.
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben's birthday for p people given his budget. Use your inequality to solve for how many people Ben can pay for (including himself) while staying within the limitations of his budget? *
Answer:
He can pay for 5 friends plus himself while staying within the budget.
Step-by-step explanation:
No parents are allowed in.
45 + 5.5p = 80 80-45=35 5.5p = 35 35/5.5 = 6.4
So he can pay for himself plus 5 people, and probably a drink.
Hope this helps!
how do I do #2 ?
do i do y = 3(5) - 4 or something else ? if so explain please
Use distributive property:
3(x-4)+2(x+5)
Answer:
Step-by-step explanation:
3(x - 4) + 2(x + 5) = 3*x - 3*4 + 2*x + 2*5
= 3x - 12 + 2x + 10
= 3x + 2x - 12 + 10 {Combine like terms}
= 5x - 2
simplify 2m2n4p3⋅2m4n2p2
Answer:
4m8n8p6
Step-by-step explanation:
What is the cosine ratio of angle XZW?
[tex]\\ \sf\longmapsto tan60=\dfrac{WZ}{XW}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{WZ}{12}[/tex]
[tex]\\ \sf\longmapsto WZ=12√3[/tex]
[tex]\\ \sf\longmapsto WZ=20.78[/tex]
Now
[tex]\\ \sf\longmapsto XZ^2=20.78^2+12^2[/tex]
[tex]\\ \sf\longmapsto XZ^2=431.8+144[/tex]
[tex]\\ \sf\longmapsto XZ^2=575.8[/tex]
[tex]\\ \sf\longmapsto XZ\approx 24[/tex]
Now
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{XW}{XZ}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{12}{24}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{1}{2}[/tex]
Option C
The value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.
What are trigonometric functions?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The cosine ratio will be calculated by first calculating the perpendicular WZ.
WZ = 12 x tan60
WZ = 12 x √3
WZ = 12√3
Then calculate the hypotenuse of the triangle.
XZ² = 20.78² + 12²
XZ² = 430+ 144
XZ² = 574
XZ = 24
The cosine ratio will be calculated as:-
cosФ = Base / hypotenuse = 12 / 24.
Therefore, the value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ5
Given endpoint F(-4,5) and midpoint M(7.-9), what is the coordinates of ENDPOINT G? If needed, show your answer in the form of a decimal. Round to
the nearest tenth.
FORMULAS
distance = V(x2 – x1)2 + (y2 - yı)2
midpoint = (
O G(18.-23)
O G(13, 18)
O G(11, 4)
O G(1.5,-2)
Answer:
(18,23)
Step-by-step explanation:
Add distances:
7+4+7 = 18
9+5+9 = 23
Describe the equation 2x + 15 = 23 + x in words.
Group of answer choices
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
Double a number and add 15. The result is the same as the sum of 23 and the number.
Double a number and add 15. The result is the same as the product of 23 and the number.
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
Answer:
x = 8
x = 21/14
x = 8
x = 15/21
x = 1/4
x = 7
Step-by-step explanation:
(For all instances of number, let it be x)
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
2x + 15 = 23 + x
2x - x + 15 = 23 + x - x
x + 15 = 23
x + 15 - 15 = 23 - 15
x = 8
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
15x + 2 = 23 + x
14x + 2 = 23
14x = 21
x = 21/14
Double a number and add 15. The result is the same as the sum of 23 and the number.
2x + 15 = 23 + x
x + 15 = 23
x = 8
Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)
2x + 15 = 23x
15 = 21x
x = 15/21
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
15x + 2 = 23x
2 = 8x
2/8 = x
x = 1/4
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
2(x + 15) = 23 + x
2x + 30 = 23 + x
x + 30 = 23
x = 7
What is (5⁴) (5³) simplified
Answer:
5^7 or 78125
Step-by-step explanation:
what is the surface area of this design?
Answer:
hhieiiwhwu thanks sa points iaiajaowowiwjwj
Step-by-step explanation:
sjsjsis99wo2jn2
hwiwiwiwjnwjw
help asap please and thank you. true or false?
[tex]\sf 6x+2=-10[/tex]
Answer:
x=-2
Step by step explanation:
Step by step explanation:Subtract 2 from both sides:
6x + 2 - 2 = - 10 - 2
Simplify
6x = - 10 - 2
Simplify the arithmetic:
6x = - 12
Then Isolate x:
6x = - 12
Divide both sides by 6:
(6x)/6 = - 12/6
Simplify the fraction:
x = - 12/6
Find the greatest common factor of the numerator and denominator:
x = (- 2 × 6)/(1 ×6)
Factor out and cancel the greatest common factor:
x = - 2
Therefore,x=-2
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here we go again ~
Value of x is :
[tex] - 2[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
let's solve for x :
[tex]6x + 2 = - 10[/tex][tex]6x = - 10 - 2[/tex][tex]6x = - 12[/tex][tex]x = - 12 \div 6[/tex][tex]x = - 2[/tex](2x+6)/5=4x−3 sove and use 5 algebric proofs of equality
x=−11/2=−5/2 1 =−5.5
Please answer this math problem... I will mark you brainliest
A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles.
a. What is the plane’s speed in miles per hour?
mph
b. At this rate, how many miles can it travel in 10 hours?
miles
Answer:
A= 560mph, B=5,600miles in 10 hours
Step-by-step explanation:
If you divide 3,360 by 6 to get the mph for part a, you’ll then multiply that by 10 to get part b.
3,360 / 6= 560
560*10=5,600
Solve the equation for a. 10= 1/5a+2
Answer:
it is 2.35
Step-by-step explanation:
Isaac spent 1/3 of his monthly income
on rent 1/4 on food and 1/5 on clothes if he is left with 39,000.00.find(i)fraction on rent,food and clothes. (i)the fraction which is left.(iii)his monthly income.
Answer:
monthly income is 180000. sorry for bad handwriting
Step-by-step explanation:
fraction of food rent cloth : 1/5+1/4+1/3=47/60
fraction of leftover: 1-47/60= (60-47)/60 = 13/60
MARKING BRAINLEIST IF YOUR ANSWER IS CORRECT!
Answer:
1 /5
Step-by-step explanation:
what is the answer to 56,763 rounding to the nearest thousand
Answer:
60000
Step-by-step explanation:
56763 so you're going to take that number and you're going to run it to the nearest thousands by doing that you're going to take the six and six is either closest to zero or 10 and it is closer to 10 which would be your answer so you're going to add these zero replacing the six seven six and three in the equation and making me five of six by adding the one from the number 10 if you have any other questions text me if that doesn't make sense
An input-output machine generates the information below
a- Find the values to fill in the table for variables a and b
b- write up a rule that describes the relationship between the input output.
c- what is the value of the output and input in 20?
d- what is the value of the input when the output is 77.
Using a linear function, we have that:
a) The values are: a = 11 and b = 5.
b) The rule is:
[tex]y = 3x + 2[/tex]
c) The value of the output is 62.
d) The value of the input is 25.
The equation of a linear function is given by:
[tex]y = mx + b[/tex]
In which
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.First, we are going to solve item b to find the rule, then we solve other items.
Item b:
In the table, we have two points: (1,5) and (2,8).
The slope is given by change in y divided by change in x, thus:
[tex]m = \frac{8 - 5}{2 - 1} = 3[/tex]
Then
[tex]y = 3x + b[/tex]
Point (1,5) means that when [tex]x = 1, y = 5[/tex], and this is used to find b.
[tex]5 = 3(1) + b[/tex]
[tex]b = 2[/tex]
Thus, the rule is:
[tex]y = 3x + 2[/tex]
Item a:
a is the value of y when x = 3, thus:
[tex]y = a = 3(3) + 2 = 11[/tex]
Thus, a = 11.
b is the value of x when y = 17, thus:
[tex]3b + 2 = 17[/tex]
[tex]3b = 15[/tex]
[tex]b = 5[/tex]
The values are: a = 11 and b = 5.
Item c:
The value of the output is y when x = 20, thus:
[tex]y = 3(20) + 2 = 60 + 2 = 62[/tex]
Thus, the value of the output is 62.
Item d:
The value of the input is x when y = 77, thus:
[tex]3x + 2 = 77[/tex]
[tex]3x = 75[/tex]
[tex]x = \frac{75}{3}[/tex]
[tex]x = 25[/tex]
The value of the input is 25.
A similar problem is given at https://brainly.com/question/25004958
A=bh slove for b
jnbirnbiunrtortn
Answer:
b = A/h
Step-by-step explanation:
A = bh
Divide both sides by h:
A/h = bh/h
A/h = b
If m A) m B) m C) m D ) m
Solve:
6a=2(8a-[6a+(4a-5)])+4
1: 3/5
2: -7/5
3: 7/5
4: -3/5
Please show me how?
Answer: [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
[tex]6a=2(8a-(6a+4a-5))+4[/tex]
[tex]6a=2(8a-(10a-5))+4[/tex]
[tex]6a=2(8a-10a+5)+4[/tex]
[tex]6a=2(-2a+5)+4[/tex]
[tex]6a=-4a+10+4[/tex]
[tex]6a=-4a+14[/tex]
[tex]6a+4a=14[/tex]
[tex]10a=14[/tex]
[tex]a=\frac{7}{5}[/tex]
please give me a brainliest answer
a baker is making cupcakes. he has 36 pounds of dough. each cupcake is made from ⅙ pound of dough. how many cupcakes can be made?
explain with answer
Answer:
First you have to understand a one cupcake has 1/6 pound of dough.
Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.
36/(1/6)
= 36 ×(6/1)
= 216 cupcakes
Answer: 216 cupcakes can be made
Step-by-step explanation:
Given information
36 pounds of dough in total
⅙ pound of dough per cupcake
Set variables
Let x be the number of cupcakes that could be made
Set equations from given information
Total = unit × number
36 = (1/6) × x
Multiply 6 on both sides to isolate [x] variable
36 × 6 = (1/6) × x × 6
216 = 1 × x
[tex]\boxed{x=216}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the angle
25 points for you plus a brainliest, thanks and 5 star
Answer:
? =64.62306
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos ? = 3/7
Taking the inverse cos of each side
cos ^-1 ( cos ? ) = cos ^-1 (3/7)
? =64.62306
Answer:
The angle is approximately 23°
Step-by-step explanation:
let the angle be ∆
using trigonometrical identity,
tan ∆=3/7
tan∆=0.4286
∆=tan^-1(0.4286)
∆=23.19°
ILL MARK BRAINLY PLEASE HELP A contractor spent $740 at a hardware store on wooden shingles and ceramic tiles. She bought the tiles for $20 per package and the shingles for $60 dollars a package. If she bought 5 more packages of tiles than shingles, how many packs of shingles did she buy?
Answer:
She bought 13 packages of shingles
mark brainliest:)
g(x)=5x g(x)=15 what is the value of x
Answer:
x = 75
Step-by-step explanation:
Step-by-step explanation:
According to the question,
g(X)=5x ------------------------(eq-i)
g(X)=15 -------------------------(eq-2)
By comparison the two following equation
[tex]5x=15\\\\x=\dfrac{15}{5}\\\\x=3[/tex]
3. (14 pts) Divide using either synthetic division or long division. Show how you got your
answer
(3x3 + 4x2 – 2+ 7) + (x + 2)
Divident = Divisior x Quotient + Remainder
(3x³ + 4x² - 2 + 7) = (x + 2) x (3x² - 2x) + (4x - 5)
(3x³ + 4x² - 2 + 7) = (3x³ + 4x² - 2 + 7)
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
(3x³ + 4x² - 2 + 7) ÷ (x + 2)
We will divide using the long division method.
Divident = Divisior x Quotient + Remainder
Divident = (3x³ + 4x² - 2 + 7)
Divisor = x + 2
We will find the quotient and the remainder.
x + 2 ) 3x³ + 4x² - 2 + 7 ( 3x² - 2x
3x³ + 6x² [ sign is changed, 3x³ = -3x³ and 6x² = -6x²]
- 2x² - 5
- 2x² - 4x [ sign is changed, -2x² = 2x² and -4x = 4x ]
4x - 5
Quotient = 3x² - 2x
Remainder = 4x - 5
Thus,
Divident = Divisior x Quotient + Remainder
(3x³ + 4x² - 2 + 7) = (x + 2) x (3x² - 2x) + (4x - 5)
(3x³ + 4x² - 2 + 7) = (3x³ + 4x² - 2 + 7)
Learn more about division here:
https://brainly.com/question/19088163
#SPJ2
number in squence
5,20,10,30,15,40
and say how did you do it
Answer:
number next in the sequence = 20
Step-by-step explanation:
5, 20, 10, 30, 15, 40, (20) ---> (40 - 20 = 20)
+15 -10 +20 -15 +25 (-20) ---> (25 - 45 = -20)
-25 +30 -35 +40 (-45)
Need help ASAP ?!!!!! 50pointsss
Hi there!
To find f(-100), substitute in -100 for the x in the function.
f(x) = x/50
Plug in -100 for x:
f(-100) = -100/50
Evaluate:
f(-100) = -2
3 irrational numbers between 15 and 17
Answer:
1. 15.333333
2.17.284392842389...
3.16 1/3
Step-by-step explanation:
Hope it helps
The three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].
What are irrational numbers?An irrational number is a number that cannot be expressed as a fraction {p/q} for any integers {p} and {q}.
Given are irrational numbers between 15 and 17.
Now, we can write -
A = 15² = 15 x 15 = 225
{A} = 225
B = 17² = 17 x 17 = 289
{B} = 289
The irrational numbers between 15 and 17 can be written as the square root of numbers between 225 and 289. So, we can write -
[tex]$\sqrt{231.44}\\[/tex]
[tex]$\sqrt{244.57}\\[/tex]
[tex]$\sqrt{277.67}\\[/tex]
Therefore, the three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].
To solve more questions on rational numbers, visit the link below-
brainly.com/question/1621669
#SPJ2