Question
What is the distance between the
points (-8, -3) and (-2, -5)?
Answer:
let the distance between the points be A(-8, -3) = x_1 ,y_1 and B (-2, -5)
= x_2 ,y_2.
Now,
According to the Pythagoras theorem,
d = √ (x _2 −x _1 )^2+(y _2 −y _1 )^2d=√(-2-(-8))^2 + (-5(-3))^2d= √(6)^2 + (15)^2d= √36+225d= √261d= 3√29Therefore d(distance) = 3√29
Mila needs to order some new supplies for the restaurant where she works . The restaurant needs at least 754 spoons. There are currently 313 spoons. If each set on sale contains 6 spoons, write and solve an inequality which can be used to determine x, the number of sets of spoons mila could buy for the restaurant to have enough spoons
Answer:x>73.5
-
Inequality: 6x + 313> 754
-
Step-by-step explanation:
The number of sets of spoons Mila could buy for the restaurant to have enough spoons:
x ≥ 74
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Let x be the number of sets of spoons Mila buys. Each set contains 6 spoons, so the total number of spoons Mila will buy is 6x.
The restaurant needs at least 754 spoons, and there are currently 313 spoons, so the total number of spoons needed is:
754 - 313 = 441
we can write the inequality:
6x ≥ 441
To solve for x, we can divide both sides of the inequality by 6:
x ≥ 73.5
x ≥ 74
Therefore, Mila needs to buy at least 74 sets of spoons to ensure that the restaurant has enough spoons.
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FIND x :
x+(x+1)+(x+2)=(x+1)^2
A. 1
B. 0
C. 3
D. 2
Answer:
2
Step-by-step explanation:
Answer:
x = - 1, x = 2
Step-by-step explanation:
Given
x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then
x + x + 1 + x + 2 = x² + 2x + 1 , that is
3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )
0 = x² - x - 2 ← in standard form
0 = (x - 2)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 2 = 0 ⇒ x = 2
The cube of a whole number is 100 more
than the square of the same number,
What is the number?
Answer:
The number is 0 or 100
Step-by-step explanation:
Let the number be x.
ATQ, x^3=100x^2, x^2(x-100)=0, x=0, 100
find one counterexample to show that each conjecture is fake. for two real numbrts a and b, a is either equal to b or greater than b.
Answer:
.zie8fieiosowdue7fieid92iqopq o ofoo pdoc
Rewrite using a single positive exponent 4^2/4^-7
Evaluate the function.
f(x) = –22 +2
Find f(-1)
Answer:
Cant do this problem since there is no x variable. So the answer would be :
f(x) = -22+2
Step-by-step explanation:
In
Select the correct
function
that represents
this data.
21012 x
Out
8
3
-2
-7
-12
[?]
A. f(x) = -5x - 2
B. f(x) = -5x + 7
C. f(x) = -5x + 2
The correct function that represents this data is option A. f(x) = -5x - 2.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are three functions in the option.
We have a set of points on the table.
We have to find which function is representing the table.
Input values are the x values and the output values are the y values.
From the table, the y value corresponding to the x value of 0 is -2.
Substitute in each of the function.
A. f(x) = -5x - 2
= 0 - 2
= -2
B. f(x) = -5x + 7
= 0 + 7
= 7
C. f(x) = -5x + 2
= 0 + 2
= 2
The function in A is the only function which got the value as -2 when x = 0.
Hence the function is represented in option A. f(x) = -5x - 2.
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Cho is making a rectangular garden, where the length is x feet and
the width is 4x – 1 feet. He wants to add garden stones around
the perimeter of the garden once he is done. If the garden is 4 feet
long, how many feet will Cho need to cover with garden stones?
Answer:16x-6
Step-by-step explanation:4(4x-1) distributed is 16x-6
For a school assignment Brody weighed two different blocks of wood the red block weighed 9/10 of a pound and the blue block weighed 3/5 of a pound what is the difference in the two weights?
Answer:
3/10
Step-by-step explanation:
Difference = Red - blue
red = 9/10
blue = 3/5 = 6/10 multiply top and bottom by 2
Difference = 9/10 - 6/10 = 3/10
If 4/5 = N/1٫ then N=
Answer:
4/5 ....
Step-by-step explanation:
N/1 = N
so... um...
4/5 = N/1
4/5 = N
N = 4/5
Answer:
N = 0.8
Step-by-step explanation:
4/5 = N/1
0.8/1 = N/1
0.8 = N
The TGV is a high speed train in France. The speed of this train can be modeled by the equation d = 347.2t, where d is the train’s distance, in miles, and t is the time, in hours. The Shanghai-Hangzhou Train is a high speed train in China, and the table below summarizes how long it takes this train to travel different distances. Assume that both trains always operate at constant speeds. Which train is faster?
Answer:5435
Step-by-step explanation:
Pls help !!!
find the rate of change on [-1, 4]
Answer:
Step-by-step explanation:
write each expression as a single power of 10
Answer:
[tex]{ \underline{ \sf{it \: is \: {10}^{9} }}}[/tex]
Step-by-step explanation:
[tex](10 {}^{4} ). \frac{ {10}^{12} }{ {10}^{7} } = ( {10}^{4} ). {10}^{(12 - 7)} \\ \\ = ( {10}^{4} ). {10}^{5} \\ = {10}^{(4 + 5)} \\ = {10}^{9} [/tex]
Answer:
[tex]10^{9}[/tex]
Step-by-step explanation:
I. [tex]10^{4} * 10^{12-7}[/tex]
= [tex]10^{4} * 10^{5}[/tex]
= [tex]10^{4 + 5}[/tex]
= [tex]10^{9}[/tex]
please help me with my question due tomorrow morning I will like and mark as brainliest for the first correct answer please
Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
please help me I’m stuck on this! first best answer gets brainliest
Answer:
we are told there are 8 letters, and each letter between A-H is 8 total unique letter So 8! is going to be the outcome.g(x) = f(x) +2
if f(x) is 2x
Answer:
You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.
then g(x)=2x+2
Plz answer it's important
Answer:
[tex]x_{M}[/tex] = - 1
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints , that is
[tex]x_{M}[/tex] = [tex]\frac{4-6}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
An image point has coordinates B'(7,-4). Find the coordinates of its pre-image if the translation used was
(x + 4, y + 5).
B 3.1
B[3.-9)
B|11,-9)
B/11, 1)
Answer:
B
Step-by-step explanation:
To go from B' to B , perform the inverse operation
That is the translation rule is (x - 4, y - 5 ) , then
B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B
3(p – 6) + 15 = 0
PLEASE SOLVE PLEASE HELP IT IS URGENT
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf3(p - 6) + 15 = 0 \\\sf 3p - 18 + 15 = 0 \\\sf 3p - 3 = 0 \\ \sf3p = 3 \\ \sf \: p = \frac{3}{3} \\ \boxed{\bf p = 1}[/tex]
The value of p is 1.
_______
Hope it helps.
RainbowSalt2222
[tex]\\ \rm\longmapsto 3(p-6)+15=0[/tex]
[tex]\\ \rm\longmapsto 3p-18+15=0[/tex]
[tex]\\ \rm\longmapsto 3p-3=0[/tex]
[tex]\\ \rm\longmapsto 3p=3[/tex]
[tex]\\ \rm\longmapsto p=\dfrac{3}{3}[/tex]
[tex]\\ \rm\longmapsto p=1[/tex]
When ringing up a customer, a cashier needs 6 seconds to process payment as well as 1
second to scan each item being purchased. If it takes 20 seconds to ring up a customer,
how many items are being purchased?
Answer:
14 items
Step-by-step explanation:
20 seconds minus the six it takes to process purchase is 14 and if i takes 1 second to scan each item 14 times 1 is 14
Answer:
14
Step-by-step explanation:
to process payment = 6 sec
each item = 1 sec
total = 20 sec
From this information, we can formulate an equation where x = number of items being purchased.
[tex]6+1(x) = 20[/tex]
[tex]x=20-6\\x=14[/tex]
Quadrilateral ABCD is an isosceles trapezoid with AB CD. If AB = w+14. BC= 2w+7. CD=4w +2, and
AD = 3w-5, solve for w.
A 4
В. 12
C. 17
D. 31
Answer:
A 4382373738373Step-by-step explanation:
pasti salahA gas has a density of 0.824 g/L and occupies a volume of 3.00 liters. What is the mass in grams?
Density is mass per unit volume,
ρ = m/v
Solving for mass gives
m = ρv
so that a gas with density 0.824 g/L that occupies 3.00 L has a mass of
m = (0.824 g/L) (3.00 L) = 2.47 g
Find the following for each function
f(x)=-2x^2+x-1
a.f(0)
b.f(1)
c. f(-1)
d. f(-x)
e.-f(x)
f. f(x+1)
g. f(2x)
h.f(x+h)
HELP PLEASE
Answer:
un
Step-by-step explanation:
Which two numbers have a mean of 10 and a range of 4?
Answer:
Two numbers that have a mean of 10 and a range of 4 are the numbers 12 and 8.
Hope this helps!
Answer:
12 and 8 it is easy and i rlly hope it helps
PLSS HELP! What is -2m-5m=9m-12? ALGEBRA I
Step-by-step explanation:
1. -2m-5m-9m=-12
2. -16m= -12
3. m= -12/ -16
4. m=3/4
i have written / sign as a sign of division .
write each expression as a single power of 10
Answer:
10⁸
Step-by-step explanation:
[tex]( \frac{10 ^{5} }{ {10}^{3} } ) ^{4} \\ (10 ^{5 - 3} ) ^{4} \\ (10 ^{2} )^{4} \\ (10 ^{2 \times 4} ) \\ (10^{8} )[/tex]
I hope it helped U
stay safe stay happy
because the expression is raised to a power, you're going to multiply the power inside the expression with the power outside the expression. Thus:
[tex] \frac{10 ^{20} }{10^{12} } [/tex]
Since the powers are being divided, you can just subtract 20 by 12. Then you would get:
[tex]10^{8} [/tex]
If you are performing the following translation (x,y) --> (x + 3, y -4) Determine how that would change the original ordered pair (10, 9). Select the new ordered pair after the Translation. (answer choices below)
(7, 9)
(10, 4)
(3, 10)
(13, 5)
Answer:
(13, 5 )
Step-by-step explanation:
The translation
(x, y ) → (x + 3, y - 4)
Means add 3 to the x- coordinate and subtract 4 from the y- coordinate, so
(10, 9 ) → (10 + 3, 9 - 4 ) → (13, 5 )
If the length L of a rectangle is 3 less than twice the width W, which of the following gives the length of the
rectangle in terms of the of the width
Answer:
L = 2W - 3
Step-by-step explanation:
If the length L of a rectangle is 3 less than twice the width W, then
L = 2W - 3
The expression for the length L of a rectangle is L = 2W - 3.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The length L of a rectangle is 3 less than twice the width W can be expressed as:
L = 2W - 3
Therefore,
The length of the rectangle can be found by taking twice the width and subtracting 3 from the result.
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an arena is 1/2 full. After 1,500 people leave the arena, it is 1/3 full. What is the seating capacity of the arena?
Answer:
9000
Step-by-step explanation:
(x/2)-(x/3) = 1500
(x/6)=1500
x= 9000
4/3 ÷ 5/3
Answer must be in simplest form.