-3
Step-by-step explanation:
4 - 2x = 10
-4 -4
-2x = 6
÷ -2 ÷ -2
x = -3
Find the distance between (1, 0) and (9, 15).
Answer:
[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]
Step-by-step explanation:
Given the points
(1, 0)(9, 15)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(9-1\right)^2+\left(15-0\right)^2}[/tex]
[tex]=\sqrt{8^2+\left(15-0\right)^2}[/tex]
[tex]=\sqrt{8^2+15^2}[/tex]
[tex]=\sqrt{64+225}[/tex]
[tex]=\sqrt{289}[/tex]
[tex]=\sqrt{17^2}[/tex]
[tex]=17[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
Therefore,
[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]
Please answer this!!
Answer:
3,724 cubic inches
Step-by-step explanation:
All you have to do is multiply 19•14•14
Please help me with this
Answer:
30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
You pay $144 for 12 pounds of mangoes. How much does it cost for 1 pound?
Answer:
$12
Step-by-step explanation:
$144 = 12 mangoes
Divide both sides by 12
$12 = 1 mango
Tara bought a 1.8-acre lot. She is going to have to sod put on 0.6 of the lot.
Which grids show the correct shading to model the multiplication?
I think c???? because yeah dsfiesnfgb
Answer:
i have that same Question
Step-by-step explanation:
3.
Stacey has a part-time job.
She earns £8 an hour.
She wants to buy a new smartphone costing £220.
How many hours does she need to work to earn enough to buy it?
Answer:
28 hours
Step-by-step explanation:
Divide the total cost of the new smartphone by how much Stacey earns per hour.
220 / 8 = 27.5
Round the quotient up to the nearest whole number to get your answer. We do this because Stacey would not get paid for only working part of an hour.
28
Felix has a bucket of golf balls. The table shows the number of times each color of golf ball was drawn. Based on the information in the table, in how many of the next 180 draws should the outcome be expected to be white? Round your answer to the nearest whole number if needed
What equation of the line is parallel to y=4x-9
Answer:
y= 4x (any number negative or positive except -9)
Write this on your paper:
y = 4x +1
Use the order of operations to simplify 4(3.5-1.5)-1/2
Answer:
7.5
Step-by-step explanation:
4*3.5 = 14
4*-1.5 = -6
14 + -6 = 8
8-1/2 = 7.5
Answer:
7.5
Step-by-step explanation:
PLS HELP ME IM.BAD AT THIS
Answer:28.8
Step-by-step explanation:
Solve for x
-2x+8y=20
Answer:
X=-6
Step-by-step explanation:
-2 times -6= 12 12+8=20
1)) Is 6.618 an irrational number?
yes
no
Submit
Answer:
No
Step-by-step explanation:
An irrational number cannot be represented in the form a/b while a and b are integers and b isn't zero. We can write this number in this form:
6618/1000.
Since we can, it isn't irrational, it is actually rational
Hope this helps!
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
So, the answer to this question would be no. This number is not irrational.
PLEASE HELP!!!
HSJSHGXDBSJHCBDSHDCB PLEASEE
Answer:
you can give her brainliest now c:
Step-by-step explanation:
!!!!really need help!!!!Polygon ABCDEF is rotated 90°, reflected across the line y = -x, and then translated up
3 units and to the left 2 units to produce the image polygon A'B'C'D'EF'. What are the
coordinates of D' ?
Answer:
D'(-4, 1)
Step-by-step explanation:
Polygon ABCDEF is transformed by number of steps given in the question.
We have to find the coordinates of point D'.
Coordinates of point D → (2, -2)
Step - 1,
Polygon rotated 90° counterclockwise about the origin,
Rule for this rotation,
(x, y) → (-y, x)
Coordinates of image E after rotation,
D(2, -2) → E(2, 2)
Step - 2,
Point E then reflected across the line y = -x,
Rule for the reflection,
(x, y) → (-y, -x)
Image of E after reflection will be,
E(2, 2) → F(-2, -2)
Step -3,
Then point F was translated up by 3 units and 2 units left,
Rule for the translation,
(x, y) → (x -2, y + 3)
Image of F will be point D',
F(-2, -2) → D'(-4, 1)
If the function h(x) is defined by h(x) = 2x? - 7x-12 then which of the following values of x solves the
equation h(x) = 10?
(1) x = -2
(3) x = 48
(2) x = 5
(4) x = 118
Answer:
x=-2 solves the equation h(x)=10.
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]
Putting [tex]h(x)=10[/tex] in the function
[tex]10=2x^2-7x-12[/tex]
switch both sides
[tex]2x^2-7x-12=10[/tex]
add 12 to both sides
[tex]2x^2-7x-12+12=10+12[/tex]
[tex]2x^2-7x=22[/tex]
Divide both sides by 2
[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]
[tex]x^2-\frac{7x}{2}=11[/tex]
Rewriting in the form x²+2ax+a²
[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
slove
[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=\frac{11}{2}[/tex]
solving
[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=-2[/tex]
The solutions to the quadratic equation are:
[tex]x=\frac{11}{2},\:x=-2[/tex]
Therefore, x=-2 solves the equation h(x)=10.
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
the Answer is A
Step-by-step explanation:
Edge 2020
Consider the recursively defined function below
Create the first five terms of the sequence defines by the given function
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
If the coordinates of the vertices of two triangles are given, it is possible to check SSS similarity for these triangles.
true or false
Answer:
I think so it is false
Hope it helps you
11 x (9-3)
I need HELP NOW U WILL GET BRANLIEST
Answer:
your answer is 96
Step-by-step explanation:
hope this helps
Answer:
66
Step-by-step explanation:
9-3=6
6 x 11=66 :))))
Which ratio is equivalent to 3;9?
Answer:
sorry if its incorrect
Step-by-step explanation:
I think its 18:54
What is produced during the replacement reaction of Cu(NO3)2 and Zn? ZnNO3 + Cu Zn + Cu(NO3)2 ZnCu + 2NO3 Zn(NO3)2 + Cu
Answer:
D. Zn(NO3)2 + Cu
Step-by-step explanation:
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
What is a replacement reaction?A replacement reaction is a chemical reaction in which an element displaces or replaces another element in a compound. In other words, one element takes the place of another element in a compound.
The general equation for a replacement reaction is:
A + BC → AC + B
We have,
The reaction between copper nitrate (Cu(NO3)2) and zinc (Zn) is an example of a single replacement or displacement reaction, which involves the replacement of one element in a compound by another element.
In this reaction,
Zinc (Zn) reacts with copper nitrate (Cu(NO3)2) to form zinc nitrate (Zn(NO3)2) and solid copper (Cu).
The reaction is driven by the relative reactivity of the metals involved.
Zinc is more reactive than copper, which means that it has a greater tendency to lose electrons and form positive ions.
Copper, on the other hand, is less reactive and has a greater tendency to stay in its elemental form.
When zinc is added to copper nitrate solution, the zinc atoms lose electrons and become positively charged ions, while the copper ions in the solution gain electrons and become solid copper.
The zinc ions then combine with nitrate ions (NO3-) from the copper nitrate solution to form zinc nitrate, which remains in the solution.
The balanced chemical equation for the reaction shows that one molecule of zinc (Zn) reacts with one molecule of copper nitrate (Cu(NO3)2) to form one molecule of zinc nitrate (Zn(NO3)2) and one molecule of solid copper (Cu).
Thus,
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
Learn more about replacement reactions here:
https://brainly.com/question/31262369
#SPJ7
I really need help plz ok
Answer:
n = 12
Ava has 12 times as many eggs as Cole
Step-by-step explanation:
May I have brainliest please? :)
Which relation is a function?
Victor has a part time job. He saves 18% of his monthly income. Victor makes $215 a month. How much money does he save a month?
Can someone look at this please. Thank you
Drag the tiles to the boxes to form correct pairsMatch the expressions with the property used to generate
Answer:
wheres the question??
Cindy says she found a shortcut for doing multiplication problems.When she multiplies 3 x 24 she says,"3 x 4 is 12 ones or 1 ten and 2 ones. Then there's just 2 tens left in 24 ,so add it up, and you get 3 tens and 2 ones .Do you think Cindy shortcut works explain your thinking
Answer:
Of course it doesn't work, 3 x 24 = 72, not 32 (3 tens and 2 ones)
Step-by-step explanation:
This method is similar to decomposition, but it doesn't work. The problem is that she is mixing multiplication, division and addition all together without any sense at all. The way decomposition works is as follows.
Examples of decomposition:
first you can multiply 3 x 4 = 12
then 3 x 20 = 60
add them and you get 72
for example: 6 x 122
6 x 2 = 12
6 x 20 = 120
6 x 100 = 600
add them together = 732
another example: 9 x 356
9 x 6 = 54
9 x 50 = 450
9 x 300 = 2700
add them to get 3,204
The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
The tables represent the functions f(x) and g(x).
A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15.
Which input value produces the same output value for the two functions?
Hint, because the tables are incomplete, you will need to solve by setting the equations equal to each other.
A. x = -12
B. x = -9
C. x = -6
D. x = -3
Answer:
c
Step-by-step explanation:
Answer:
B) x=-9
Step-by-step explanation:
When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.
Answer:
It takes more time on moon for the rock to fall.
Step-by-step explanation:
Given that:
Time it takes for rock to fall d meters on earth = √0.45d
Time it takes for rock to fall d meters on moon = √1.11d
For a rock to fall 50 meters:
On earth :
Time = √0.45*50 = 4.7434164 seconds
On moon :
Time = √1.11*50 = 7.4498322 seconds
Time on moon > Time on earth
Hence, It takes more time on moon for the rock to fall.