Answer:
[tex]x=-3\pm\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x² + 6x + 4 = 0
a = 1
b = 6
c = 4
Step 2: Find x
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(4)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-6\pm\sqrt{36-4(1)(4)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-16} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2\sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm\sqrt{5}) }{2}[/tex]Simplify: [tex]x=-3\pm\sqrt{5}[/tex]the graph of a linear equation in two variables is _____?
Answer:
"a straight line"
Step-by-step explanation:
recall that a linear equation may be expressed as
y = mx + b, where x and y are the variables (i.e 2 variables)
we also know that if we graph the linear equation y = mx+b, we will get a straight line.
Hence a possible answer for the blank could be:
"a straight line"
Classify the following triangle. Check all that apply.
O A. Obtuse
B. Equilateral
c. Right
D. Acute
O E. Scalene
OF. Isosceles
Answer:
This is an Equilateral Acute triangle.
In school the ratio of the number of pupils to the number of teachers is 20:1 of the number of pupils is 840 how many teachers are there
Answer:
Step-by-step explanation:
Given ration of pupils and teachers =20:1
Let the no. Of teachers =X
So no.of pupils =20X
No.of pupils=840
20X=840
X=840/20
X=42
No.of teacher =X
=42.
8.01 × 10^-2 round the coefficient to two decimal places
Answer:
that equals 0.0801
Step-by-step explanation:
but im not good at rounding so yeah
You but a new laptop for 300 . The sales tax is 6% .what is the total cost for the laptop including the sales tax
Answer:
The total cost for the laptop including the sales tax is, $318
Step-by-step explanation:
Answer:
$318
Step-by-step explanation:
You start with your $300. Then you multiply that by 6% or 0.06 to get 18, which is the sales tax. Then you add those 2 together
A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?
Which pair of radicals is a pair of like radicals
Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?
Answer:
Total distance traveled = 200 miles
Step-by-step explanation:
Total time taken for the trip = 4 hours
∴ The trip can be divided into two halves of 2 hours each.
1st half:
speed = 40 miles per hour
distance = speed × time
when time = 2 hours
distance = 40 × 2 = 80 miles
2nd half:
distance = speed × time
speed = 60 miles per hour
time = 2 hours
∴ distance = 60 × 2 = 120 miles
Combined distance traveled = 80 + 120 = 200 miles
I need helppp!!!! pleaseeee
Answer:
A or B I think
Step-by-step explanation:
Not entirely sure of it but ummm
Una cesta de frutas tiene 888 plátanos, 333 naranjas, 555 manzanas y 666 kiwis.
For cada 333 kiwis hay 444 \_\_\_\_____\_, \_, \_, \_.
Escoge 1 respuesta:
Escoge 1 respuesta:
Answer:
plátanos
Step-by-step explanation:
si por cada 666 kiwis hay 888 plátanos, divides todo por 2, y te da 333 kiwis ⇒ 444 plátanos
What's the answer help pls
Answer:
48°
Step-by-step explanation:
The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)
Two Angles are Supplementary when they add up to 180 degrees.
HENCE,
∠A + ∠B =180 (given)
⇒4x - 16 +8x + 4 = 180°
⇒12x - 12 = 180°
⇒12x = 192
⇒x = 16 ----1
substituting eq1 in ∠A,
=> 4(16) -16
=> 64 - 16
=> ∠A = 48°
Answer:
48
Step-by-step explanation:
The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this
4x-16+8x+4=180
combine like terms
12x-12=180
12x=192
divide to get x
x=16.
You need the measure of angle A so you plug it back in
4(16)-16
64-16
48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132
Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])
Step-by-step explanation:
x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
The regular octagon shown is divided into 8 congruent triangles. Each triangle has an area of 2.17 square centimeters. The perimeter of the octagon is 48 centimeters. What is the length of each side of the octagon?
Answer:
The length of each side of the Octagon is 6 centimeters
Step-by-step explanation:
An Octagon is an 8 sided polygon
The perimeter of the octagon can be obtained by the addition of all the sides of the octagon
Since it is a regular octagon, it means that all the sides are of equal length
Mathematically, what this mean is that the perimeter of the Octagon is simply 8s
where s is the length of the side of the Octagon
Thus, mathematically, the length of each side of the Octagon will be 48/8 = 6 centimeters
Answer:
180 cm2
Step-by-step explanation:
Plz I'm sooooo confuzzled: If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?
Answer:
the answer is true
Step-by-step explanation:
If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.
Answer:
it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.
so reflecting about y and then about x is the same as rotating 180°.
Step-by-step explanation:
if you reflect (x, y) in 180° it becomes (-x,-y)
when you reflect about the y-axis, (x,y) becomes (-x,y).
when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°
Is 46 a number in the sequence generated by 5n + 1
Answer:
231
Step-by-step explanation:
5.46+1
230+1
231
answer this?
Answer:
yes
Step-by-step explanation:
Equate 5n + 1 and 46 to find n, that is
5n + 1 = 46 ( subtract 1 from both sides )
5n = 45 ( divide both sides by 5 )
n = 9
Thus 46 is the ninth term in the sequence
PLEASE HELP ASAP 50 POINTS ONLY ANSWER IF YOU ARE 100% SURE IT'S CORRECT
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).
What is the equation of the translated function, g(x), if
f(x) = x2?
A: g(x) = (x + 5)2 + 2
B: g(x) = (x + 2)2 + 5
C: g(x) = (x – 2)2 + 5
D: g(x) = (x – 5)2 + 2
Answer:
D
Step-by-step explanation:
Option 4.
The vertex form of a parabola is
where, a is a constant (h,k) is the vertex.
The given function is
The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in the equation.
g(x) is passed through (3, 6).
Divide both sides by 4.
Substitute a=1 in equation (2).
The function g(x) is g(x) =(x-2)2+5) .
Therefore, the correct option is 4.
hope this helps
Answer:
D
Step-by-step explanation:
What is 3z + 2 when z = 2?
The value of the given equation is 8.
Given that,
The value of z = 2.calculation is as follows:= 3z + 2
= 3(2) + 2
= 6 + 2
= 8
Find out more information about the equation here:https://brainly.com/question/2263981?referrer=searchResults
Given:
3z + 2 and z = 2
To find:
value=?
Solution:
Therefore,
[tex]\to 3z + 2 \\\\\because \\\\\to z = 2\\[/tex]
putting the value of z into the above-given equation then:
[tex]\to 3(2)+2\\\\\to 6+2\\\\\to 8[/tex]
The final answer is "8".
Find out more information about solving here:
brainly.com/question/21197151
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Answer:
y=-6x-57
Step-by-step explanation:
point slop form:
y+3=-6 times (x+9)
Find the area of the triangle.
The area of the triangle is square units.
Answer: Um, where is your picture to answer to this question? Please show me this picture to answer the question!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please your question is Incomplete please edit the question
Sydney cabs charge $3.60 Flag Fall plus $2.19 per km. (a) write down an equation to calculate the cost ,C, of cab fare for a distance of kilometers. (b) use your equation to calculate the cost of cab fare for a distance of 15 km
Answer:
C=2.19km+3.60
Step-by-step explanation:
If you traveled 15 km it would cost 36.45.
Have a nice night! (^-^)
Estimate the area of the figure. Each square represents 2 units^2.
Answer:
60 units²Step-by-step explanation:
Approximate area is about 50 units²
The closest option is the last one
ax = bc - c solve for x
Answer:
X = c - b/a
Step-by-step explanation:
Answer:
x=bc/a - c/a
You simplify it like you would any equation, only difference is it does not have numbers.
Find the slope of the line that passes through the given two points:
(1.4) and (3,7)
m =
Please help me don’t use this for Free answers
Answer: 3/2
Step-by-step explanation: slope is 3/2, I calculated it with the slope formula
kenya found that 6 out of 9 students in her class have sports practice today. Based on the results , how many of the 270 students in the school have practice today
The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)
What’s the value of a and b
Answer choices is
A. 10 b. 6
A.6 b.10
A. -6 b. -10
A. -10 b.-6
Answer:
(-10,-6)
Step-by-step explanation:
(8 + b) / 2 = - 1
(8 + b) = - 1 * 2
8 + b = - 2
b+8-8 = -2 - 8
b = - 10
=====================
(a + 4)/2 = -1
(a + 4) = - 2
a + 4 = -2
a + 4-4 = - 2 - 4
a = - 6
Can a right triangle have sides of 12, 16, and 20?
Please answer my question is you know???
Answer:
8
Step-by-step explanation:
you just need to count the number of squares
Answer:
The area is 8.
Step-by-step explanation:
Count the amount of squares to determine the area. MARK ME BRAINLIEST!!
what do u call girl giving away 100 points and nothing to do?
Answer:
i dont know but thanks for the points
Step-by-step explanation:
is the following relationship non-proportional? or proportional? (please give me an explanation!!)
Please help, I think it’s 30 but I’m not sure. You will get 23 points
Answer:
Option E = $170
Step-by-step explanation:
Since it's not his money, its not profit for the owner. If he had not stolen the money the man would have had his $100 in the cash register and $70 more for whoever buys the bag.
Answer:
I think your right! like idek how the hell that would be wrong-
Step-by-step explanation: