Answer:
I believethe answers are (x-1)(x+3)
Step-by-step explanation:
x^2 + 2x - 3 can be simplified to
(x+3)(x-1)
The factors of this expression are therefore (x+3) and (x-1)
The binomial of each dimension is:
x+3
x-1
A system has an infinite number of solutions. one equation is 3x-3y=8. Which could be the other equation in the system of equations?
Answer:
[tex]6x-6y-16=0[/tex]
Step-by-step explanation:
Consider the following system of equations:
[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]
The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
One equation is [tex]3x-3y=8[/tex]
[tex]3x-3y-8=0[/tex]
Take another equation as [tex]6x-6y-16=0[/tex]
So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]
[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]
[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]
So,
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
Therefore, another equation can be [tex]6x-6y-16=0[/tex]
the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units
Answer:
Center (6, -3)
Radius 5
HURRY PLEASE HELP Caitlin wants to collect toys to donate to a local shelter. Her goal is to collect at least 300 toys. On Monday she collects 40 toys. On Tuesday she collects twice as many as on Monday. On Wednesday she collects three times as many as Monday. Which inequality represents the total number of toys Caitlin must collect on Thursday, x, to reach or exceed her goal of 300 toys?
Answer:
300 ≥ 40 + 80 + 120 + x
x ≥ 60
Step-by-step explanation:
Monday = 40 toys
Tuesday = 2(40) = 80 toys
Wednesday = 3(40) = 120 toys
Thursday = x toys
At least means ≥
300 ≥ 40 + 80 + 120 + x
300 ≥ 240 + x
300 - 240 ≥ x
60 ≥ x
x ≥ 60
please help i’ll give brainliest if you help thanks
Answer:
5
Step-by-step explanation:
as the 2nd term is b, and the coeffiecnt is the number next to the term
find the value of given expression
[tex] \sqrt{655 \times 655} [/tex]
Answer:
[tex]\sqrt{655*655} =655[/tex]
Step-by-step explanation:
655*655 is pretty much equal to 655²
the square root of a number to the power of 2 is equal to the number without the power
so √655² would be equal to 655
Answer:
[tex]655[/tex]
Step-by-step explanation:
[tex] \sqrt{655 \times 655} \\ = 655[/tex]
I don't get what to do with this!
Answer:
76+76=152
Step-by-step explanation:
Please help! would appreciate it
Answer:
Step-by-step explanation:
here is what I got but I hope it helps :)
Find the measure of ∠C. b=110 d=30 m∠C= °
Answer:
40°
Step-by-step explanation:
If your are reffering to a triangle the answer would be 40 since the three angles of a triangle must always add up to 180° so you would add b+d (110+30) resulting in 140 which you would then subtract from 180 getting you 40°
Find the sum.
(- 8x – 12) + (9x + 4)
Answer:
x-8
......................
Step-by-step explanation:
-8x-12+9x+4
-8x+9x-12+4
x-8
x-8=0
x=8
Find the indicated angle measure.
Find mZFEH
F
G
35
40°
H
E
Answer:
E
Step-by-step explanation:
El reloj de Nuestra Basílica de Chiquinquirá señala cada hora con igual número de campanadas. Para indicar las 6 a.M. Tocó 6 veces la campana y demoró 15 segundos. ¿Cuántos segundos empleará para indicar las 8 a.M.?
Answer:
El reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que el reloj de Nuestra Basílica de Chiquinquirá señala cada hora con igual número de campanadas, por lo que a las 8 a.m. tocará 8 campanadas y puedes usar una regla de tres para encontrar cuantos segundos empleará en hacerlo dado que conoces que las 6 campanadas se demoran 15 segundos:
6 campanadas → 15 segundos
8 campanadas → x
x=(8*15)/6
x= 20
De acuerdo a esto, la respuesta es que el reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.
Horace measured a circular lid and found d, the diameter, was 8 inches and C, the circumference, was 25 inches.
Answer:
A/C ≅ 2
Step-by-step explanation:
diameter of circle d = 8 in
Circumference of the circle C= 25 in
Let us assume we have to find the area of the circular lid A = [tex]\frac{\pi}{4}d^2[/tex]
⇒ A= [tex]\frac{\pi}{4}\times8^2= 50.24 in^2[/tex]
Therefore ratio of area to circumference A/C = 50.24/25 = 2.0096≅2
A circular garden has a diameter of 10 yards. What is the area of
the garden? Use 3.14 for iz
HELPPP?? ASAPP???
Answer:
Step-by-step explanation:
you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5
Give me 10 reasons why penguins are cute will give Brian list and 50 points
Answer:
becuz their colour is black and white. b and w is so cute
Solve this question :
9514 1404 393
Explanation:
For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.
We will change the left side to the form of the right side.
[tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]
__
The equivalents (identities) used are ...
1+tan² = sec²
1+cot² = csc²
1/csc = sin
sec = 1/cos
WILL GIVE BRAINLIEST!
Two angles of a triangle measure 44° and 94°. Find the measure of the third angle.
°
Answer: 42 degrees
Step-by-step explanation: sum of angles in triangle is 180 degrees.
So third angle is 180-44-94= 42
Answer: 42°
Steps:
44° + 94° + x = 180°
138° + x = 180°
x = 180° - 138°
x = 42°
Check:
44° + 94° + 42° = 180°
180° = 180° ✅
Would appreciate brainliest if the answer was helpful, correct and had clear steps! :)
Can someone help me answer this?
Answer: i believe it’s 12ft
Step-by-step explanation:
A bag contains 10 colored marbles - 4 red, 4 blue and 2 green. Calculate the probability of removing 2 green marbles in a row if you do not replace the marble each time.
Answer:
I think it would be a 20 percent
Step-by-step explanation:
because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped
Mrs. Kemp began school year with 20 students in her kindergarten class, She had 23 students at the end of the year. What was the percent of increase in the number of students from the beginning of the year to the end of the year?
Answer:
15%
Step-by-step explanation:
Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.
Find the inverse of the given function.
y = log2(4x)
Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Learn more about the function visit:
https://brainly.com/question/28361556
#SPJ2
What is the relationship between ∠FBE and ∠CBD?
Answer:
They are both 47 degrees
If ACD~ABE find the value of x
Step-by-step explanation:
I think it is a good day and the answer is 3
if the radius of a circle is r cm, what is the measure of its circumference? write
10000000000-188888 10 points
Answer:
I think the calculation answer will be 9,999,811,112
If someone can help pls need soon
Answer:
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
ok, so, since the angles in a traingle all sum up to 180°, that would make:
36°+61°+(4x-17)°=180°
We simplify it:
95°+(4x-17)°=180°
Then, we subtract 95° on both sides:
95°+(4x-17)°=180°
-95° -95°
Then we get:
4x-17°=85
We add 17° on both sides
4x-17°=85
+17° +17°
And we get:
4x=102°
Divide 4 on both sides...
4x=102°
➗4 ➗4
Therefor:
X=25.5
Hope this helps, but tell me if i'm wrong, and have a good day!
A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33
HELPPP PLSSSS!!!! ^^ picture above
M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘
The correct question is:
[tex]\angle QPS=88[/tex]
[tex]\angle RPS=5x+34[/tex]
[tex]\angle QPR=8x+15[/tex].
Find ∠QPR.
Answer:
[tex]\angle QPR = 39[/tex]
Step-by-step explanation:
From the attached figure:
[tex]QPS = QPR + RPS[/tex]
This gives:
[tex]88 = 8x + 15 + 5x + 34[/tex]
Collect like terms
[tex]88 - 15 - 34 = 8x + 5x[/tex]
[tex]39 = 13x[/tex]
Divide both sides by 13
[tex]3 = x[/tex]
[tex]x =3[/tex]
Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]
[tex]\angle QPR = 8 * 3 + 15[/tex]
[tex]\angle QPR = 24 + 15[/tex]
[tex]\angle QPR = 39[/tex]
Answer:
The right answer is 49, I did it on khan academy
Step-by-step explanation:
a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep