Answer:
[tex]-7x^2+x+9=-6x[/tex]
[tex]-7x^2+x+9+6x=-6x+6x[/tex]
[tex]-7x^2+7x+9=0[/tex]
[tex]quadratic\: formula[/tex]
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-7\right)\cdot \:9}}{2\left(-7\right)}[/tex]
[tex]\sqrt{-7^{2} -4(-7)\times9} =\sqrt{301}[/tex]
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{301}}{2\left(-7\right)}[/tex]
[tex]\frac{-7+\sqrt{301}}{2\left(-7\right)}[/tex]
[tex]=\frac{-7+\sqrt{301}}{-2\cdot \:7}[/tex]
[tex]=\frac{-7+\sqrt{301}}{-14}[/tex]
[tex]\frac{-7-\sqrt{301}}{2\left(-7\right)}[/tex]
[tex]=\frac{-7-\sqrt{301}}{-2\cdot \:7}[/tex]
[tex]=\frac{-7-\sqrt{301}}{-14}[/tex]
[tex]answer=\frac{7+\sqrt{301}}{14}[/tex]
[tex]OAmalOHopeO[/tex]
Classify the polynomial and determine its degree.
The polynomial –2x2 – x + 2 is a
with a degree of
.
Answer:
Trinomial, 2
Step-by-step explanation:
Answer:
Trinomial, 2
Step-by-step explanation:
244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?
Answer:
Totally number of coaches needed is 12
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer
Total rs 5000 amount shared between sunil and raj in ratio 3:2
Answer:
Sunil = 3000 and raj = 2000
Step-by-step explanation:
there are total 5000 and if it will be divided into 5 parts( total of ratio ) then 3 will be equal to 3000 and 2 equal to 2000
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
use the ratio of a 45-45-90 triangle to solve for the variables
Answer:
1:1:√ 2
Step-by-step explanation:
Answer:
u = 14
v = 14
Step-by-step explanation:
since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u
so, we can use Pythagoras
(14×sqrt(2))² = u² + u² = 2u²
196×2 = 2u²
196 = u²
u = 14 = v
PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.
Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75
Which expression is equivalent to 2x2x2x2x2
Answer:
2^5
Step-by-step explanation:
2x2x2x2x2
Count the number of 2's, that is the power
The base is 2
2^5
Answer:
2 to the power of 5
Step-by-step explanation:
there are 5 2's being multiplied by each other and that can be shortened to the power of 5.
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.
Answer:
(i) 3.438159 kg
(ii) 5.336803297 cm
Step-by-step explanation:
the external diameter = 12 cm, => the radius = 6 cm.
the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.
I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).
the material is in the volume of external sphere minus internal (empty) sphere.
the volume of a sphere is
4/3 × pi×r³
V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³
V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³
V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³
1cm³ = 5.4g
636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg
for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.
636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152
152 = r³
r = 5.336803297
The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student
Answer:
4.107
Step-by-step explanation:
115/28=4.107
Parallel to the line y=-4x-1 and through the origin.
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
What is the value of x?
26°
xº
O
x
= [?]
Answer: x = 154°
Step-by-step explanation:
In this tangents are formed
So the two unknown opposite angles at the curves will be 90° each.
So using angle sum property of a quadilateral in which all angles adds upto 360°
We get x as
90+90+26+x = 360
206+x = 360
x = 360 - 206
x = 154
please click thanks and mark brainliest if you like :)
Plz help me to find the answer to 4th question..plz help me
Answer:
I got that AE^2 = 8EC^2
Step-by-step explanation:
Here's what I did. I probably did this wrong, but this might give you an idea on how to solve it.
First, create equations:
AB = BC = AC = DE = 2EC
BD= BC = EC
Then, I used pythagorean theorem (since AD is perpendicular to BC): AD^2 + DE^2 = AE^2
Substitute: (2EC)^2 + (2EC)^2 = AE^2
Simplify: 4EC^2 + 4EC^2 = AE^2
AE^2 = 8CE^2
Trigonometry help needed
help would be appreciated
Answer:
Step-by-step explanation:
Question 5
Part A
if Sin(x) = - 3/5 and tan(x) < 0
you are told 3 things
cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)tan(x) = Sin(x)/cos(x)
tan(x) = -3/5 // 4/5
Tan(x) = -3/4
Part B
cos(2x) = cos^2(x) - sin^2(x)
cos(2x) = (4/5)^2 - (-3/5)^2
cos(2x) = 16/25 - 9/25
cos(2x) = 7/25
Part B
x + y = 90
sin(x +y) = 1
Sin(x - y) =
Sorry can't do this part. I don't know what this is equal to.
What is the constant of proportionality in the equation y=2.5x
Answer:
2.5
Step-by-step explanation:
can some one help me on this one its confusing ill give brainly when right!!!
A boat travels 160 miles per hour. What is the speed in miles per minute?
Now
[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]
[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]
[tex]\\ \sf\longmapsto 2.6miles/min[/tex]
7.
Find the number of real number solutions for the equation. x2 – 18 = 0
A. cannot be determined
B. 0
C. 1
D. 2
Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198
Answer:
13 is answer
Step-by-step explanation:
hope it helps
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14
--------------------------------------
If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.--------------------------------------
Value of n:
The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
--------------------------------------
Lengths:
The lengths are given as functions of n, since n = 6:
[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]The length of the sides are: 13 cm, 13 cm and 6 cm.
--------------------------------------
Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
Can someone plz help with this problem
Answer:
I think the answer is 2
Step-by-step explanation:
Between 30 and 60 is double b so just divide 4 by 2.
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
What is the simplest form of 20 over 315?
Answer:
4/63
Step-by-step explanation:
20/315 = (20÷5)/(315÷5)
Is this a function or no?
Function
It is a function
