Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
Which expression is equivalent to 24x2 – 22x + 5?
Answer:
C: (12x - 5) ( 2x - 1)
Step-by-step explanation:
12 x ( 2x- 1 ) -5 (2x - 1 )
= (12x - 5 ) ( 2x -1)
Hope it helps !
Answer:
12x-5 2x-1
Step-by-step explanation:
This is the correct answer. Answer C
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Simplify the expressions. 3p+-q-7r--8p-q+2r
Answer:
=11p-5r
Step-by-step explanation:
3p+(-q)-7r-(-8p)-q+2r=
3p-q-7r+8p-q+2r=
3p+8p-q-q-7r+2r=
11p-5r=
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
find the slope of the line
Answer:
Slope = 4
Step-by-step explanation:
Consider two set of point through which the line passes.
Let it be ( 0, 4 ) and ( -1 , 0)
Find slope .
[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]
[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
Find the distance between the pair of points: (0,-8)and (0,4)
Step-by-step explanation:
the answer is in the image above
Answer:
12
Step-by-step explanation:
[tex]\sqrt{0^{2} + 12^{2} }[/tex]
12
In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.
Answer:
The unit I would place in the denominator of my ratio is minutes
Step-by-step explanation:
1 hour = 60 minutes
Converting 14 hours to minutes
= 14 hours/ x minutes = 1 hour /60 minutes
x minutes = 14 × 60 minutes
= 840 minutes
14 hours = 840 minutes
Therefore,
The unit I would place in the denominator of my ratio is minutes
Complete the table of values:
Formula given: [tex]y=x^{2} -x-6[/tex]
x -3 -2 -1 0 1 2 3
y 6 0 -4 -6 -4 -4 0
when x = -2
[tex]=(-2)^{2} -(-2)-6[/tex]
[tex]=0[/tex]
when x = -1
[tex]=(-1)^{2} -(-1)-6[/tex]
[tex]=-4[/tex]
when x = 1
[tex]=(1)^{2} -(1)-6[/tex]
[tex]=-6[/tex]
when x = 2
[tex]=(2)^{2} -(2)-6[/tex]
[tex]=-4[/tex]
when x = 3
[tex]=(3)^{2} -(3)-6[/tex]
[tex]=0[/tex]
Answer:
-3 -2 -1 0 1 2 3
6 0 -4 -6 -6 -4 0
Step-by-step explanation:
One is given the following function;
[tex]y=x^2-x-6[/tex]
The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.
[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]
[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]
[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]
[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]
[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]
8p²-18p² need help from brainliest
Answer:
- 10p2
Step-by-step explanation:
p(8p - 18 p)
p x -10p
ans = -10p2
Answer: -10p²
This is the same as saying -10p^2
============================================
Explanation:
Both terms 8p² and -18p² are like terms.
We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.
So 8p² - 18p² = (8-18)p² = -10p²
The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.
The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9
Answer:
B. 6
Step-by-step explanation:
3³ x 3³ = 3⁶
The answer is 6
Answer:
B) 6
Step-by-step explanation:
The reason for this is really awesome and is clearly seen when you expand it.
x^3= x times x times x
x^3= x times x times x
x^3 times x^3= x times x times x times x times x times x= x^6
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4).
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4
what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
a. 1/3
b. 1/2
c. 2
d. 13
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides
15x - 10 = 10 + 6 + 2x , that is
15x - 10 = 16 + 2x ( subtract 2x from both sides )
13x - 10 = 16 ( add 10 to both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Answer:
2
Step-by-step explanation:
15x-10=10+6+2x
15x-2x=10+10+6
13x=26
divide 13 both sides
x=2
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answer:
The standard equation is 7x + y = 9
Step-by-step explanation:
Equations given are:
7x + 3 = 5 and y - 1 = 6
Set both given equations equal to zero, then combine them into one standard form equation
Set the equations to zero by moving the constant from R.H.S to L.H.S
7x + 3 - 5 = 0
7x - 2 = 0 ---- eq 1
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0 ----- eq 2
We have to combine eq 1 and eq 2
7x - 2 + y - 7 = 0
7x + y - 9 = 0
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Thus the standard equation is:
7x + y - 9 = 0
7x + y = 9
Thus the standard equation is 7x + y = 9
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
Slope = 3/4
y = mx + b
y = 3/4x + b
0 = 3/4 (6) + b
0 = 18/4 + b
-9/2 = b
y = 3/4 x - 9/2
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
https://brainly.com/question/12463306
#SPJ6
Evaluate angles s and r, giving reason for your answer
Answer:
r=42 degrees
This is because of vertically opposite angles
s=68
This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees
Answer:
r = 42° , s = 68°
Step-by-step explanation:
r and 42° are vertical angles and are congruent , then
r = 42°
The sum of the 3 angles in a triangle = 180° , then
s = 180° - (70 + 42)° = 180° - 112° = 68°
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31
Answer:
m<HFG = 31
Step-by-step explanation:
We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.
21 + x + 31 = 2x + 52
x + 52 = 2x + 52
x = 0
Now, we substitute x into the expression of m<HFG:
m<HFG = x + 31
m<HFG = 0 + 31
m<HFG = 31
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
(x+4)+(x-3)+(2x+2)+(x^2+3x+1)
Answer:
X^2+7x+4
Step-by-step explanation:
14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?
Answer:
1/5
Step-by-step explanation:
20/100 or 1/5