Answer:
-7,3
Step-by-step explanation:
The point on y - axis has coordinates = (0, -4)
We have a point whose coordinates are - P(-7, -4)
We have to find the point on the y-axis that is 7 units from the point.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of Point : P(-7, -4)
Since the other point is on y - axis, therefore its x - coordinate will be 0.
Let the point on y - axis have coordinates as - (0, k).
Using the formula discussed above -
7 = [tex]\sqrt {\left( {-7- 0} \right)^2 + \left( {-4 - k } \right)^2 }[/tex]
49 = [tex](-7)^{2}[/tex] + [tex](-4-k)^{2}[/tex]
[tex](-4-k)^{2}[/tex] = 0
[tex](k + 4)^{2}[/tex] = 0
Solve the quadratic equation, you will get -
k = -4
Hence, the point on y - axis has coordinates = (0, -4)
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If (5^4)m = 5^12, what is the value of m? (4 points)
A. 2
B. 3
C. 5
D. 8
Answer:
The value of m is 3
Step-by-step explanation:
(5^4)m =5^12
M = 3
(5^4)3 =5^4*3=12
(5^4)3 = 5^12
Answer:
(5 ^4)^m = (5)^12
625^m = (5)^12
Taking logs of both sides
log(625) *m = log (5) *12
m = log (5) *12 / log(625)
m = 0.69897000434 * 12 / log (625)
m = 0.69897000434 * 12 / 2.7958800173
m = 0.69897000434 * 12 / 2.7958800173
m = 3 answer is B
Here's a handy logarithm calculator: https://www.1728.org/logrithm.htm
Step-by-step explanation:
Which answer uses the distributive property to write an expression equivalent to 5(32). 5(32) 5+30+2 5(30+2) 5*30*2
Answer:
5(30 + 2)
Step-by-step explanation:
5(32)=160
5(30+2)=160
The rest equal different numbers
Answer:
5(30+2)
Step-by-step explanation:
whatever will be in the parentheses has to equal 32.
so the possible answer could be:
5(30+2)
Please help I wanna get an a :(
Answer:
Graph C
Step-by-step explanation:
Point T is located on Graph C at T(1, 7). To help, (x, y) = count over however many spaces horizontally, then count however many spaces vertically.
It will always be this way.
plz help.............. radius is 10 inch
Answer:
314 in²
Step-by-step explanation:
The formula for the area of a circle is pi*r² or pi (3.14...)* radius²(squared).
If you plug in the radius given into the equation, you get 3.14*10² you can then solve this using systems of equations.
3.14*10²
10² = 10*10
3.14*(10*10)
10*10= 100
3.14*100
3.14*100= 314
What is the equation of the line in point-slope form and slope-intercept form that is
perpendicular to the line
4x - 3y = 30 and passes through the point (-8, 7)?
9514 1404 393
Answer:
y -7 = -3/4(x +8)y = -3/4x +1Step-by-step explanation:
The slope of a line in the form ...
ax +by = c
is ...
m = -a/b
So, the slope of the given line is ...
-4/(-3) = 4/3
The slope of the perpendicular line is the opposite reciprocal of this,
m' = -1/(4/3) = -3/4
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Then your perpendicular line with slope -3/4 through point (-8, 7) is ...
y -7 = -3/4(x +8)
Rearranging to slope-intercept form, we get ...
y = -3/4x -3/4(8) +7
y = -3/4x +1
express 15288 as a product of prime factors
Answer:
The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13
Step-by-step explanation:
You have a trailer with the following dimensions. Height 125cm. Length 2.4m. Width 1.65m. How much cub sand will you be able to load?
Answer:
18.75m³ of sand
Step-by-step explanation:
volume =lbh
h=125cm=1.25m
v=2.4*6.25*1.25
=18.75m³
The cub sand will be able to load 4.95m³.
To solve this question, we've to find the volume of the trailer and this goes thus:
Height = 125cm = 1.25m
Length = 2.4m.
Width = 1.65m
Volume = Length × Width × Height
Volume = 2.4m × 1.65m × 1.25m
Volume = 4.95m³
Therefore, the cub sand will be able to load 4.95m³.
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Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8
B. y= 1/2x-9/2
C. y=x-6
D. y=2x-12
Answer:
The correct choice is option D. y = 2x -12
Step-by-step explanation:
slope of the points (5,-2) and (8,4) is m = 2
y — intercept of the points (5,-2) and (8,4) is b = -12
Now, put it all together, and you'll get : y = 2x -12
The sum of 6 times a number and 6 is the same as the difference of the number and 9. Find the number.
Answer:
x = -3Step-by-step explanation:
Let x= the missing number6x + 6 = x - 96x - x = -9 - 65x ÷ 5 = -15 ÷ 5x = -3Checking:
6(-3) + 6 = (-3) - 9-18 + 6 = -12-12 = -12HELP PLZZZZZZZZZZZZZZZZZZZZZ FAST
Answer:
Three axis given
[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]
Now
All are intersected at one point G
Hope thia help u!!!!!...:/)
3 Find y if the slope between ( – 7, y) and (1, 13) is 3/4
Step-by-step explanation:
[tex]slope \: = \frac{y2 - y1}{x2 - x1} = \frac{3}{4} [/tex]
point 1 ( -7,y)
point 2 (1,13)
[tex] \frac{13 - y1}{1 - ( - 7)} = \frac{3}{4} [/tex]
[tex] \frac{13 - y1}{8} = \frac{3}{4} [/tex]
[tex]13 - y2 = \frac{8 \times 3}{4} = 6[/tex]
[tex]y2 = 13 - 6 = 7[/tex]
y = 7
The areas of two squares P and Q are 900cm and 400cm respectively. Find the ratio of the sides P and Q.
Answer:
each side of square P is 30cm and each side of square Q is 20cm. ratio is 30:20
Step-by-step explanation:
hope this helps
How to write 72,932 expanded form?
Answer:
70,000+ 2,000 +900 +30 + 2
in expanded form
Step-by-step explanation:
this is hcf and lcm pls help me answer needed fast
Answer:
I HOPE IT WILL HELP YOU A LOT.
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
A piece of wire 100 cm long is cut into two pieces, each to be bent to make a square. The length of a side of one square is to be 4 cm longer than the length of a side of the other. How should the wire be cut?
Answer:
The two pieces will be 42 and 58 cms long.
Step-by-step explanation:
Let the length of the smallest square be x cm.
Then the length of the other will be x + 4 cm
So, as there are 4 sides in a square, we have the equation:
4x + 4(x + 4) = 100
8x + 16 = 100
8x = 84
x = 10.5 cm.
So we need 4*10.5 = 42 cms for one square and 4 * 14.5 = 58 cms for th other square.
HELPPPPPPPPPPPPP!!!!
Step-by-step explanation:
1) 4 terms
2) - 6
3) Coefficient = 4x³ + x - 3y
Step-by-step explanation:
There are 4 terms in the expression i.e, 4x²,x,3y and 6The value of the constant term is -64x²+x-3yI hope it was helpful
Reanna is making a scrapbook which holds 14 photos on each 2-page spread.
Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]
The complete table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Given that:
[tex]2\ page = 14\ photos[/tex]
Let:
[tex]y \to pages[/tex]
[tex]x \to photos[/tex]
So, we have:
[tex]2y = 14x[/tex]
Divide by 2
[tex]y = 7x[/tex]
To fill the table, we simply multiply both sides by the same constant.
Multiply by 0.5
[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]
[tex]1\ page = 7\ photos[/tex]
Multiply by 2
[tex]2\ page \times 2 = 14\ photos \times 2[/tex]
[tex]4\ page = 28\ photos[/tex]
Multiply by 3
[tex]2\ page \times 3 = 14\ photos \times 3[/tex]
[tex]6\ page = 42\ photos[/tex]
So, the table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Read more about tables at:
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The following set of points are on the graph of a function:
X Y
2 5
3 6
4 7
5 8
6 9
7 10
Which point would be on the inverse of this function?
A (-6-3)
B (9,6)
C (-10-7)
Answer:
your needed answer is 9,7 ok
On a number line what is the distance between -3/2 and 6?
Answer:
7.5 unitsStep-by-step explanation:
The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.
This can be shown as:
|-3/2 - 6| = |-1.5 - 6| =|-7.5| = 7.5or
| 6 - (-3/2)| = |6 + 1.5| = |7.5| = 7.5Answer:
15/2 or 7.5
Step-by-step explanation:
Distance = x_2 - x_1
Distance = 6 - (-3)/2
Distance = 6 + 3/2
Distance = 12 + 3/2
Distance = 15/2 or 7.5
The box plot represents a data set
What is the range of the middle 50% of the data?
2
3
5
7
9 10 11 12 13 14 15 16 17 18 19 20 21
8
O
12
O 17
6
Answer: Im gonna say 12
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: I took the quiz
HELPPPPPPPPPPPPPP!!!
Answer:
bhfifgllffjnffeujusdjovcioffjdhdcjsdh
Step-by-step explanation:
vvvbbvblloiyfgcbbzjziodhjdoahvlxivfcpdoahjqpdhvdkdlldjgjdjkfkdjfvkkfkrkjtjtkkrkkrkkrkroktktkkyjykykktkktktkrkrknkdbfbdblslsoejbdbrbjtjkrkrkrkkrkrirkrkkrkriirfkfnfkfjtjtkktktjktkktktkjtktkkyktkktnnfjfbbfbdbdbbdjfjfjjfjfbfjfbrjbfbgvtcvyvyvcucucughyjrkrkkdjfbgbgjkglglrkkkkkkkkrkellel
If 3 5/6 written as a whole number is four. How would you explain how do you know?
Answer:round up
Step-by-step explanation:since it’s 3 5/6 equals 3.8333333etc it’s rounded up because every .5 and up is rounded up and .4 and down is rounded down
sin(60-theta)sin(60+theta)
Step-by-step explanation:
[tex] \sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\ [/tex]
from difference of two squares:
[tex]{ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}[/tex]
therefore:
[tex] = \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta[/tex]
factorise out ¾ :
[tex] = \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}[/tex]
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Answer:
Hello
how are you
step by step explanation
What is the value of x4y, when x = 16 and y = 2?
1/32
2
2 2/3
4
1/32
Step-by-step explanation:
I am not sure about it .
Can’t figure out number 35 plz help
This is science btw
Answer:
it is valley
Step-by-step explanation:
it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense
x=15 is this a function how do you do it
Answer:
Step-by-step explanation:
what is 1 1/2 x 3/4?
Answer:
2 1/4
Step-by-step explanation:
First you have to do 2 x 1 = 2
Then add 2 + 1 = 3
Next do 3/2 x 3/4
You will have to find the common denominator which is 8
Do 4 x 3 = 12 and 3 x 2= 6
Add 12 + 6 = 18
You get the answer 18/8
You can go and put this answer into an improper fraction
2 2/8
Since 2/8 can be divided by 2
You will get an answer of 2 1/4
Answer:
4 1/8
Step-by-step explanation:
first, you do 11 * 3/ 2* 4 which equals 33/8.
Then you simplify 33/8 which is 4 1/8
Demichael orders a set of numbers on his
homework. In descending order, the first
number is 5 1/2 and the last number is 5 1/3
Which of the following numbers is NOT in
Demichael's list?
A V25
B 5.45
C 5 12 름
D 5.34
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
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