Answer:
a=1 b=2
Step-by-step explanation:
a+2b=5
3a-b=1
Multiply the second equation by 2
6a-2b=2
Add the two equations together
a+2b=5
6a-2b=2
-------------------
7a = 7
Divide by 7
7a/7 = 7/7
a=1
Now find b
3a-b =1
3(1) -b =1
3-b=1
Subtract 3 from each side
3-b-3=1-3
-b = -2
Multiply by -1
b=2
Answer:
please mark me brainliest
Step-by-step explanation:
a+2b=5...equ 1
3a-b=1...equ 2
3a+6b=15...equ 3
3a-b=1...equ 4
elimination method
3a has been cancelled
so 6b+b=7b
15-1=14
7b=14
b=14/7
b=2
substitute 2 for b in equ 2
3a-b=1
3a-2=1
3a=1+2
3a=3
a=3/3
a=1
a=1,b=2
The radius of a circle is 3 cm. Find its area in terms of pi
Answer:
A = 9 pi cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r=3
A = pi (3)^2
A = 9 pi cm^2
Area of circle = πr²
Area = π3²
Area = 9π
There area in terms of pie is 9πcm²
Must click thanks and mark brainliest
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
Use order of operations to solve the equation
Answer: 1/16 (Decimal: 0.0625)
Step-by-step explanation:
3^2−4
5−10
−|−16|
=
1/16
HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST
Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?
Rewrite in simplest terms: 2(-4p-6)-5p2(−4p−6)−5p
Answer: 20p³+30p²-13p-12
Step-by-step explanation:
2(-4p-6)-5p²(-4p-6)-5p
-8p-12+20p³+30p²-5p
20p³+30p²-13p-12
please click thanks and mark brainliest if you like :)
Answer:
20p^3+30p^2-13p-12
Step-by-step explanation:
2(-4p-6)-5p^2(−4p−6)−5p
Distribute
-8p -12 +20p^3 +30p^2 -5p
Combine like terms
20p^3 +30p^2-13p-12
What is the slope of the line?
y
slope = 13
slope = -3
slope =3
Answer:
slope = 3
Step-by-step explanation:
Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2
Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6
Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2
Answer:
3
Step-by-step explanation:
Start at the y-intercept
Slope is rise (up/down) over run (move to the right/left)
First you rise 3
And you run 1
3/1 is 3 thus 3
14. PLEASE HELP ME
Which of the quadratic functions has the narrowest graph?
A. y= 1/8x2
B. y= 1/6x2
C. y= -x2
D. y= 2x2
Answer:
D. y= 2x2
Step-by-step explanation:
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
B <<< answer.
Given: We are given equation of parabola ans to choose narrowest graph.
Parabola form narrowest and widest.
Larger value of a most narrowest graph.
Smaller value of a most widest graph.
Now, we will see the coefficient of x²
Now, we arrange the value of a in descending order.
2 is largest value of these.
Hence, The narrowest graph is
there are 2 more pictures i have to upload but it won't let me
if tanA=2ab/a square-b square.find the value of cosA and sin A
Answer:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan A = \frac{2ab}{a^2 - b^2}[/tex]
And we want to find the value of cos(A) and sin(A).
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the opposite side measures 2ab, and the adjacent side measures a² - b².
Using the Pythagorean Theorem, solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c^2 &= a^2 + b^2 \\ \\ c&= \sqrt{(2ab)^2 + (a^2-b^2)} \\ \\ &= \sqrt{(4a^2b^2)+(a^4-2a^2b^2+b^4)} \\ \\ &= \sqrt{a^4 + 2a^2b^2 + b^4 } \\ \\ &= \sqrt{(a^2 +b^2)^2} \\ \\ &= a^2 + b^2\end{aligned}[/tex]
Thus, our hypotenuse is given by a² + b².
Cosine is the ratio between the adjacent side and the hypotenuse. Thus:
[tex]\displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}[/tex]
And sine is the ratio between the opposite side and the hypotenuse. Thus:
[tex]\displaystyle \sin A = \frac{2ab}{a^2 + b^2}[/tex]
In conclusion:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Answer:
Step-by-step explanation:
[tex]sec^2A-tan^2A=1\\sec^2A=1+tan^2A=1+\frac{4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2-b^2)^2+4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2+b^2)^2}{(a^2-b^2)^2} \\cos^2A=\frac{(a^2-b^2)^2}{(a^2+b^2)^2} \\cos A=\frac{a^2-b^2}{a^2+b^2} \\sin A=\sqrt{1-cos^2A} =\sqrt{1-(\frac{a^2-b^2}{a^2+b^2} )^2} =\sqrt{\frac{(a^2+b^2)^2-(a^2-b^2)^2}{(a^2+b^2)^2} } =\sqrt{\frac{4a^2b^2}{(a^2+b^2)^2} }=\frac{2ab}{a^2+b^2}[/tex]
1. Round off $23.7667 to the nearest cent
2. 3.15 is between
3. $5.364 to the nearest 5 cents
PLease be quick!!!
Enter the missing values in the area model for multiplication below.
5 x 35
30
+
5
25
try
Please help me with this question pleaseeee
Answer:
5, left
Step-by-step explanation:
Because negative x is 5 units to the right of zero, that means that negative x is 5, because 5 is 5 units right of zero.
[tex]-x=5[/tex]
To figure out x, we must multiply both sides by negative one, and since negative one times negative x equals positive x, we have the value of x.
[tex]x=-5[/tex]
That means that x is 5 units to the left of zero.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
To collect data from a large group, take a _____________.
A. random sample
B. poll using a clip board
C. telephone call
D. mailed survey
Answer:
D
Step-by-step explanation:
Survey is the easiest, best, and fastest way o collect data.
(especially from if it's large)
I hope this helped!!Segment EF has one endpoint located at E (-7, 2) and its midpoint is located at M (0.5, 4). What are the coordinates of point F? Show all work.
100 POINTS
Answer:
F(8, 6)Step-by-step explanation:
Use midpoint formula to find the missing F(x, y):
M = (E + F)/2(-7 + x)/2 = 0.5 ⇒ -7 + x = 1 ⇒ x = 1 + 7 = 8(2 + y)/2 = 4 ⇒ 2 + y = 8 ⇒ y = 8 - 2 = 6Using Midpoint formula
[tex]\boxed{\sf M=\dfrac{x_1+x_2}{2},\dfrac{x_2+y_2}{2}}[/tex]
E(-7,2)M(0.5,4)F(x,y)[tex]\\ \sf\longmapsto (0.5,4)=\left(\dfrac{-7+x}{2},\dfrac{2+y}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7+x}{2}=0.5[/tex]
[tex]\\ \sf\longmapsto -7+x=1[/tex]
[tex]\\ \sf\longmapsto x=1+7[/tex]
[tex]\\ \sf\longmapsto x=8[/tex]
And
[tex]\\ \sf\longmapsto \dfrac{2+y}{2}=4[/tex]
[tex]\\ \sf\longmapsto y+2=8[/tex]
[tex]\\ \sf\longmapsto y=8-2[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
F(x,y)=(8,6)What are the solution(s) to the quadratic equation x2 – 25 = 0?
x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution
hi
x²-25 = (x+5) ( x-5)
As a multiplication can only add up to zero if one of term is 0 ,
there is two solutions :
x+5 = 0
x = -5
and x-5 = 0
x = 5
So two solutions for x² -25 = 0 which are -5 and 5
NEED THE CORRECT ANSWER ASAP, PLEASE HELP!!! Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
(x2+y2)2+2x2y2−y4=x2(x2+4y2)
Answer:
See attachedStep-by-step explanation:
The proof is attached
The first line is according to the identity:
(a + b)² = a² + 2ab + b², where a = x² and b = y²The second line is simplification where y⁴ cancels and 2x²y² doubles.
The third line is about taking the common factor of x² and factorizing.
which expression is equivalent to (4^-3)^-6
a.) 4^3
b.) 4^-9
c.) 4^-18
d.) 4^18
Answer:
Answer:
The answer is d.) 4^18
Simplify: squrt 18x⁷
Answer:
3x^3 ⋅ √2x
Step-by-step explanation:
10 fewer than the difference of 8 and w! Please helpppppppp!!!!!!!! get 5 stars and brainly and heart!!!!!!!
Answer:
(8-w) -10
Step-by-step explanation:
fewer than comes after
difference of 8 and 2
(8-w)
10 fewer than
(8-w) -10
Answer:
(8 - w) - 10
Step-by-step explanation:
10 fewer than the difference of 8 and w.
-10
fewer means that we are taking away something, so it is minus.
8 and w (difference)
and is a word that adds something, but we have to pay attention to the difference. that means -.
8 - w
Put parenthesis around it so we know it is 8 and w that seperates from the (10 fewer).
(8 - w)
add - 10 at the end
(8 - w) - 10
in a right triangle ABC, C is the right angle. What does Cos B equal
Answer:
not enough information
i need help now! Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
i cant see a parrellogram!
please post a picture
2x² - 5/6 x +1/12 PLS ANS
Answer:
Step-by-step explanation:
[tex]2x^{2} - \frac{5}{6}x + \frac{1}{12}[/tex]
Multiply the whole expression by 12
[tex]= 12*2x^{2} - 12*\frac{5}{6}x + 12*\frac{1}{12}\\\\= 24x^{2}-2*5x + 1\\\\=24x^{2}-10x + 1[/tex]
Sum = - 10
Product = 24
Factors = -6 , -4 {(-6)+(-4) = -10 & (-6)*(-4) = 24}
24x² - 10x + 1 = 24x² -6x - 4x + 1 {Rewrite the middle term using the factors}
= (24x² - 6x) - 4x + 1
= 6x (4x - 1) - (4x - 1)
= (4x - 1)(6x - 1)
a lot of dancers go to Rio de Janeiro to the Carnival
Answer:
Step-by-step explanation:
a lot of dancers go to Rio de Janeiro to attend the Carnival
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
500
200
20
50
Answer:
0.05
0.02
0.2
0.5 may be ..but if this is wrong answer then sorrr
An office was built in the shape of a rectangle. If one side of the office measures 60 metres and the length is measured 4000 centimetres.
Calculate the perimeter of the office in meters.
Answer:
200m
Step-by-step explanation:
Width=60m
Length=4000cm=40m
[PERIMETER OF RECTANGLE= 2(l+b)]
2(40+60)
2×100
200cm
Please help me ASAP!! Please explain your answer
Answer:
113.1 cm²
Step-by-step explanation:
V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] r² h
h = 12 cm , r = 3 cm , [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]
V ≈ 113.1 cm²
Which of the following expressions are equivalent to -44+ 40?
Choose all answers that apply:
-4(11 - 10)
B
2(-22 +20)
None of the above
Answer:
answer for your question is B 2(-22+20)
Helpppppppppppppppppp What does the statement ∣
Answer:
b is 7 units from 0.
Step-by-step explanation:
[tex]|b|[/tex] = 7 means that the absolute value of b is 7. This means that b can be -7 or 7, so it will always be 7 units from 0.
Hope this helps!
If ram have 30 apple& each apple rs is 26 . 14 are rotten .he had eat 9 apple. 6 apple he sold each price 35 . Now say me ram have got profit or loss.
Answer:
Profit
Step-by-step explanation:
30*26
14*26
9*14
6*26*30
Write down all the prime numbers between 20 and 70
Answer:
23,29,31,37,41,43,47,53,59,61 and 67.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
23, 29, 31, 37, 41, 43, 47, 53, 61, 67
Step-by-step explanation:
Im not entirely sure but I believe I'm correct here.
<1 and <2 are vertical angles. If m<1 = (5x+12) and m<2 = (23x + 17) find m<2
Answer:
m∠2 = 10 11/18°
Step-by-step explanation:
Vertical angles are equal to one another.
[tex]5x+12=23x+17\\\\12=18x+17\\\\-5=18x\\\\-\frac{5}{18}=x[/tex]
Now substitute the value for the variable to find m∠2.
[tex]23(-\frac{5}{18})+17\\\\-\frac{115}{18}+17\\\\\frac{191}{18}=10\frac{11}{18}[/tex]
