Answer:
(x-6) ^2 + (y+7)^2 = 16
Step-by-step explanation:
We know the equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-6) ^2 + (y- -7)^2 = 4^2
(x-6) ^2 + (y+7)^2 = 16
y = –2x2 - 4x – 6 has how many real roots?
Answer:
Step-by-step explanation:
None
They are both imaginary or complex. You can check that out by calculating the discriminate. If you get a minus answer, then there are no real roots. Let's try it.
a = - 2
b = - 4
c = - 6
D = sqrt(b^2 - 4*a * c)
D = sqrt( (-4)^2 - 4*(-2)(-6) )
D = sqrt( 16 - 48)
D = sqrt(-32) which is negative and there are no real roots.
If p and q are remainders when the polynomials
Answer:
Step-by-step explanation:
The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 193 . The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15 . Thirty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
9514 1404 393
Answer:
89 in a restaurant45 in a car59 at homeStep-by-step explanation:
Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...
r + c + h = 193
-r + c + h = 15
r + 0c -h = 30
Add the last two equations:
(-r +c +h) +(r -h) = (15) +(30)
c = 45
Add the first two equations:
(r + c + h) +(-r + c + h) = (193) +(15)
2c +2h = 208
h = 104 -c = 59 . . . . solve for h, substitute for c
The last equation can be used to find r.
r = 30 +h = 30 +59 = 89
89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.
Зх — 7 = 2х
Show work
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]
If no grouping symbols or exponents are in an expression, then do _____ first.
What is the slope-intercept equation for the line below?
Step-by-step explanation:
given that the coordinate is (0,1)(4,3)
x¹=0, y¹=1, x²=4 y²=3
M=> Gradient => (y²-y¹)/(x²-x¹)
M=(3-1)/(4-0) => 1/2
Therefore the slope-intercept equation
M=(y-y¹)/(x-x¹)
1/2 = (y-1)/(x-0)
x=2y-2
2y=-2-x
y=-x/2 - 1
please help me out, please and thank you
Answer:
x=1°.
see the IMAGE FOR SOLUTION
Prime factorization of 797 method also
Answer:
Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors
help me
its geometry
Answer:
A = 216.24 km²
Step-by-step explanation:
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answer:
D
Step-by-step explanation:
380
simplify root 32-6 divided by root 2 plus root 2
Answer:
5•362165924
Step-by-step explanation:
first make root of 32-6=5•099019514
then make root of 2+root2=1•84--
then divide upper by lower part answer comes
or
root32-6=root26
root 2+root 2=2root2
root26/root2root2
ans=3•0318---
Answer:
[tex] \frac{ \sqrt{32} - 6 }{ \sqrt{2} + \sqrt{2} } \\ \frac{ \sqrt{16 \times 2} - 6}{2 \sqrt{2} } \\ \frac{4 \sqrt{2} - 6}{2 \sqrt{2} } \\ \frac{2(2 \sqrt{2} - 3) }{2 \sqrt{2} } \\ \frac{2 \sqrt{2} - 3}{ \sqrt{2} } \\ thnk \: you[/tex]
Someone PLEASE help me.
Solve for the indicated variable in the parentheses.
y= 5x*6 (x)
Step-by-step explanation:
a is the answer if is wrong I'm sorry
What are the solutions to 3( x + 2)(x – 9) = 0
Mark Brainliest if correct:
x = -2, 9
Step-by-step explanation:
x2: x + 2 = 0
x = -2
x1: x - 9 = 0
x = 9
x = -2, 9
Hi everyone, I’m currently trying to dive into some lessons before school starts and I’m taking algebra 2 this year and the lessons that I am currently studying about is imaginary numbers. I had a few questions so if anyone could help me out that’d be great! Starting off, while watching the video, the guy explaining says that j^4 = 1 because it is like j times j^3 and I’m just confused because I don’t understand where they got the 1 from…
MNOP is a trapezoid with median QR. Find x
[tex]\bf \large \rightarrow \: \:2x \: + \: 8 \: = \: 0[/tex]
[tex]\bf \large \rightarrow \: \:x \: = \: \frac{8}{2} \\ [/tex]
[tex]\bf \large \rightarrow \: \:x \: = \: \cancel\frac{ 8}{ 2} \: \: ^{4} \\ [/tex]
[tex]\bf \large \rightarrow \: \:x \: = \: 4[/tex]
Option ( A ) is the correct answer.
Will Mark Brainlest Help Please ,,,,
find the value of x and y
Step-by-step explanation:
(-1,0),m=2
(1-7),m=12
m=-4,(-1,-4)
what is the answer for 17-51 163
Answer:
The answer is -51146
Step-by-step explanation:
Just substract simple
Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000
299,000,000
Answer:
Step-by-step explanation:
I think you mean 2.99×10^8, not 2.99×108.
2.99×10⁸ meters per second = 299,000,000 meters per second
Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
QUICK WHATS THIS ANSWER?!?
Answer:
C. [tex]-x-6>-3.5[/tex]
Step-by-step explanation:
One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.
A. [tex]-x -6<-3.5[/tex]
[tex]-x<2.5[/tex]
[tex]x>-2.5[/tex]
B. [tex]-x-6>3.5[/tex]
[tex]-x>9.5[/tex]
[tex]x<-9.5[/tex]
C. [tex]-x-6>-3.5[/tex]
[tex]-x>2.5[/tex]
[tex]x<-2.5[/tex]
D. [tex]x-6>-3.5[/tex]
[tex]x>2.5[/tex]
As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
A, 3-2x=3(x+4)-x-1
B, 5x(x-1)-4(x-1)=0
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} \tt a) \ 3-2x=3(x+4)-x-1\\\\3-2x=3x+12-x-1 \\\\3-12+1=3x+2x-x \\\\4x=-8 \\\\\boxed{ \tt x=-2} \\\\\\b) \ 5x\underline{(x-1)}-4\underline{(x-1)}=0 \\\\\\(5x-4)(x-1)=0 \Longrightarrow \boxed{ \tt x_1=0.8 \ \ ; \ \ x_2=1}[/tex]
Helppppp me plss, I’ll mark u as brainlest
[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, cos(A + B) = cos 90º = 0
Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)
Answer:
Step-by-step explanation:
r = d/2
r = 2.4 m/2 = 1.2
h = 1.8
pi = 3.14
Volume = pi * r^2 * h
Volume = 3.14 * 1.2^2 * 1.8
Volume = 8.139
Volume = 8 to the nearest m^3
5/9+8/9 can someone please help me with this math question? All I know is that you have to add the fractions, Express the sum as a proper fraction or a mixed number.
Answer:
13/9
Step-by-step explanation:
Given
5/9 + 8/9
Both fractions have the same denominator.
Therefore, pick one of the denominator and add the numerators
5/9 + 8/9
= (5+8) / 9
= 13/9
5/9 + 8/9 = 13/9
find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}
Answer:
domain : {3,4,6}
range: {1,5,9}
Can someone help I don't understand
Answer:
Step-by-step explanation:
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
