Answer:
Intersection point of this is (0,-0.5)
Step-by-step explanation:
Hope this helps :)
7x(42-22) +32 +4
please show work-
Answer:
140x+36
Step-by-step explanation:
hope this helps :)
Use the fact that 1.5 is the same as 3/2 to select all
of tile equations below that are equivalent to T=A^1.5
Answer:
It is all 4
Step-by-step explanation:
Answer:
all 4 , the next one is A
Step-by-step explanation:
Solve for k: 17 + k = 29 k =
Answer:
k=12
Step-by-step explanation:
k=29-17
29-17=12
PLEASE HELP WILL MARK BRAINLIEST
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?
x squared over 8 minus y squared over 8 equals 1
x squared over 8 minus y squared over 16 equals 1
y squared over 8 minus x squared over 8 equals 1
y squared over 16 minus x squared over 8 equals 1
The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex]Foci at [tex]x = \pm 4[/tex]They are both in the x-axis, and the center is (0,0), which means that the equation is:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex] means that:
[tex]\frac{a^2}{c} = 2[/tex]
-----------------------------------------
Foci at [tex]x = \pm 4[/tex] means that:
[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]
Thus:
[tex]a^2 = 2c = 2(4) = 8[/tex]
-----------------------------------------
For b, we have that:
[tex]a^2 + b^2 = c^2[/tex]
[tex]8 + b^2 = 16[/tex]
[tex]b^2 = 8[/tex]
-----------------------------------------
Thus, since a and b have been found, the equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
A similar problem is given at https://brainly.com/question/20409089
write in slope intercept form
through (4,-1), parallel to y=x
Answer:
y=x-5 is parallel to y=x
Step-by-step explanation:
how do you find out the rate per hour using minutes
Answer: You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate
Step-by-step explanation:
Answer:
You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate. For example, if your employee works 38 hours and 27 minutes this week, you divide 27 by 60.
Step-by-step explanation:
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Karen recorded the numbers of people getting off her tram.
The mean number for 10 stops is 6.3.
After the tram stops at the 11th stop, the mean is 8.6.
How many people got off the tram at the 11th stop?
Answer:
32 people got off
Step-by-step explanation:
For the 10th stop, we can get the total number of people that have gotten off
Mathematically, this is the product of the mean and the number of stops
= 10 * 6.3 = 63 people
Now, for the 11th stop, the total becomes
11 * 8.6 = 94.6
Hence;
(94.6-63) = 31.6
since there are no fractional humans, the number of people getting off is 32
How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
Find 6.3x10^-5/9x10^-3 in scientific notation.
Answer:
-7 × 10
Step-by-step explanation:
Explanation:
6.3
×
10
5
is the same value as
63
×
10
4
So we have:
63
×
10
4
9
×
10
3
ddd
→
ddd
63
9
×
10
4
10
3
ddddddddd.d
→
ddd
63
9
×
10
If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3
→
6
+
3
=
9
so we will divide both top and bottom by 3 to simplify the fraction.
ddddddddd.d
→
ddd
63
÷
3
9
÷
3
×
10
Note that:
63
÷
3
9
÷
3
=
21
÷
3
3
÷
3
=
7
1
=
7
so we have:
(
6.3
×
10
5
)
÷
(
9
×
10
3
)
=
7.0
×
10
Negative version works the same exact way but with a negative sign
The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.
What is scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.
Given:
The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),
The values in the negative power in the numerator go to the denominator and vice versa,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)
Divide the 6.3 by 9 as shown below,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³
To know more about scientific notation:
https://brainly.com/question/18073768
SPJ2
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
can you help me the first person will get brainliest
Answer:
put the equations in tiger math
Step-by-step explanation:
I Music at the art museum is divided into six sections that each contain about the same number of tiles there are 2889 tails total in the music about how many tiles are in each section?
Answer:
481.5
Step-by-step explanation:
The music art museum is divided into 6 sections
Each section contains the same timert of tiles
There are 2889 tails total
Therefore the number of tiles in each section can be calculated as follows
= 2889/6
= 481.5
Hence there are 481.5 tiles in each section
Basic geometry question: Anybody able to give a down to earth explanation of a POINT, a LINE, a RAY and a SEGMENT?
Answer:
A point is a coordinate pair
A ray is a starting point but no end point (so it goes on forever)
A segment is a line connecting two points
(I'm in 9th still learning-ish)
1) Positive, negative, zero or undefined?
Answer:
I would say zero or undefined
Step-by-step explanation:
Answer:
c, zero slope
styles clash vs rko who will win
Answer:
rko
Step-by-step explanation:
Answer:
Step-by-step explanation:
styls clash baaaabyyy
g(x) = 3(x - 8) Find g(-2)
Answer:
Step-by-step explanation:
if g(x)=3x-8
replace x with -2
g(-2)=3(-2)-8=-6-8=-14
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Valentines $54 for nine hours of work at that rate how long will she have to work to earn $900
Answer:
Step-by-step explanation:
63 hours
hope it helps
Answer:
a little more than 16 1/2 hours but you should round it up to 17 hours
Step-by-step explanation:
If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.
(sorry if this is confusing but i hope it helped)
Jackie spends 25% of her monthly salary on rent. Her rent is $650 a month. What is Jackie’s monthly salary?
Answer:2600
Step-by-step explanation: 25%=1/4
650×4=2600
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (1.5, 2)
B. (-1.5, 2)
C. (0, 1.3)
D. (0, 0)
Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
147 is what percdnt of 210
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
147/x * 210/100
147*100= 14700
14700/210 = 70
70%
what is the ratio of feet to inches on a measuring tape
Answer:
its multipled by 12
Step-by-step explanation:
Answer:
1 ft = 12
Step-by-step explanation:
The length in inches is equal to the feet multiplied by twelve
Use the expression 14x + 28y + 21
(Answer both questions below)
Part A: What is the greatest common factor of the expression?
Part B: Factor the expression
Answer:
A) 7 is the greatest common factor of the expression.
B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
Step-by-step explanation:
We are given the expression: [tex]14x + 28y + 21[/tex]
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression: [tex]14x + 28y + 21[/tex]
Taking 7 common:
[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]
So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
round to the tenth number 2.0373
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
Factor this polynomial.
-3x^2-16x- 5
Answer:
B. [tex]-(3x+1) (x+5)[/tex]
Step-by-step explanation
factored the equation to solve. Hope this helps!
what is a prime number
Answer:
Step-by-step explanation:
Prime number is
Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
help me please I need help in math I suck and I need good grades
Answer:
The answer to the question provided is 60.