Answer:
x = 2 and x = 3
Step-by-step explanation:
Formulas used :
[tex]log_5 \ 5 = 1[/tex]
[tex]log_5 \ x + log_5 \ y = log_5 \ (xy)[/tex]
[tex]log_5 \ x = log_5 \ y => x = y[/tex]
Steps :
[tex]2 \ log_5 \ x = 1 + log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ 5+ log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ ( 5(x - \frac{6}{5} ))\\\\x^2 = 5(x - \frac{6}{5})\\\\x^2 = 5x - 6\\\\x^2 - 5x + 6 = 0\\\\x^2 - 2x - 3x + 6 = 0\\\\x(x - 2 ) - 3 (x - 2) = 0\\\\(x - 3)(x-2) = 0\\\\x = 3 , x = 2[/tex]
HELP PLEASE I HAVE 15 MINS LEFT
In AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine and
state the value of x.
Answer:
x = 7
Step-by-step explanation:
A median bisects the opposite side length, therefore
14x = 6x+56
8x = 56,
x = 7
Answer:
x = 7
Step-by-step explanation:
given:
AM is the median
BM = 14x
MC = 6x + 5x
since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,
14x = 6x + 54
14x - 6x = 54
8x = 54
x = 54/8
x = 7
What is the scale factor from triangle ABC to triangle DEF? SHOW YOUR WORK
what is 3.8 X 4.1=?
Answer:
15.58
Step-by-step explanation:
Hope this helps.
Find the error in Bella’s reasoning and explain how she should have solved this problem .
Answer:
[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]
Step-by-step explanation:
The figure is a combination of rectangle and a quarter of a circle.
Therefore,
Area = Area of rectangle x Area of quarter of the circle
[tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]
Bella took the sum of area of rectangle and area of entire circle.
That is why Bella is wrong.
Which linear inequality is represented by the graph? I’m timed hurry plz
Answer:
a
Step-by-step explanation:
first one i believe
Please someone help me out
Answer:
812 in²
Step-by-step explanation:
The area (A) is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 29 and h = 28 , then
A = 28 × 29 = 812 in²
Thomas can go to school and an ice cream parlor on the bus and his bicycle. In how many ways can he reach the school and parlor?
Show your calculation.
Answer:
yes it's ok and I'm sorry I didn't get it
Help? Solve the system of equations.
y = 3x
y = x2 + 3x – 16
solutions: ( );( )
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
URGENT !!!
What is the pH of a solution with a concentration of 4.2 × 10−5 M H3O+? (4 points)
2.31
4.38
5.62
6.87
Answer:
[tex]{ \tt{pH = - log[H {}^{ + } ]}} \\ pH = - log(4.2 \times {10}^{ - 5} ) \\ pH = 4.38[/tex]
Step-by-step explanation:
H
pH of a solution is 4.38
What is pH of a solution ?"The pH of a solution refers to the strength of solution whether it is acidic or basic in nature It is considered by the concentration of hydrogen ion in the solution."
We have,
Concentration of [tex]4.2[/tex]×[tex]10^{-5}[/tex][tex]MH_{3}O[/tex]
pH = [tex]-log(H^{+})[/tex]
⇒pH = [tex]-log(4.2[/tex]×[tex]10^{-5})[/tex]
⇒pH = 4.38
∴ pH of a solution is 4.38
Learn more about pH of a solution here
https://brainly.com/question/23162505
#SPJ2
please help and explain answer
What's the Area of this shape
Answer:
.
Step-by-step explanation:
Answer:
73.13 m^2
Step-by-step explanation:
1/2(bh)
Pi(d)
HARNESS SKILL Direction: Complete the proof by writing the reason for each statement. Choose your answer inside the box. Write your answer on the space provided.
GIVEN: △LMN with exterior angle ∠LNP
PROVE: m∠LNP>m∠MLN
Proof:
Let us prove that m∠LNP>m∠MLN by constructing the following:
1. midpoint Q on LN such that LQ ≅ NQ
2. MR through Q such that MQ ≅ QR
Vertical Angles are congruent
SAS Triangle Congruence Postulate
Substitution Property of Equality
Property of Inequality
By Construction
Angle Addition Postulate
Segment Addition Postulate Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Transitive Property of Equality
pahelp po plss, kailangan ko na kasi e salamat
Answer:
1) Given
2) vertical angles
3) SAS
4) CPCTC
5) Angle Addition
6) By construction
7) Transitive
Step-by-step explanation:
Hiiioo!! Can you please help me out with this!!! ❤️❤️:) (9)
9514 1404 393
Answer:
segment SRGivensegment PRSSS postulateStep-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
which statement is true about the figure?
Answer:
DEC and AEB are the same angles
john drew a polygon with two line segments
Answer:
hey. pls complete your question
(Factorize it)
Here it is:
Answer:
D: (x^2 + 3x + 9) (x^2 - 3x + 9)
-
G: (x^2 + 3x + 5) (x^2 - 3x + 5)
Answer:
[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]
[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]
Step-by-step explanation:
Hope it is helpful....
Find the edge length
x^3= 125000 m^3
x=50 m
What is the value of x in the diagram?
Answer:
x = 30
Step-by-step explanation:
here 50 is hypotenuse as it is opposite of 90 degree.
x and x + 10 are the two other smaller sides of a right angled triangle respectively.
using pythagoras theorem,
a^2 + b^2 = c^2
x^2 + (x + 10)^2 = 50^2
x^2 + x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 - 2500 = 0
2x^2 + 20x - 2400 = 0
2(x^2 + 10x - 1200) = 0
x^2 + 10x - 1200 = 0
x^2 + (40 - 30) - 1200 = 0
x^2 + 40x - 30x - 1200 = 0
x(x + 40) - 30(x + 40x) = 0
(x + 40)(x - 30) = 0
either x + 40 = 0 OR x - 30 = 0
x = 0 - 40
x = -40
x - 30 = 0
x = 30
x = -40,30
since the length and distance is not measured in negative ur answer will be 30
credit goes to sreedevi102
thank u very much . At first i was wrong and giannathecookie i m really sorry
Answer:
x = 30
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]
Since x is the measurement of a side, it can't be negative. Therefore x = 30
What is the degree of the monomial? 8x2y3 24
Answer:
5
Step-by-step explanation:
8x^2y^3 24
degree of monomial is power of x + power of x
2 + 3= 5
Answer:
5
Step-by-step explanation:
What is that 24 doing there?
If the monomial is
[tex] 8x^2y^3 [/tex]
then the degree is 5.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
Select the correct answer.
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
A.
4 × d = 24
B.
4 × l = 24
C.
4 + d = 24
D.
4 + l = 24
does anyone know the answer to that question i need it ASAP !!!!
Answer:
the answer is a 4 x d = 24 I think
Help please guys thank you so much
Answer:
Step-by-step explanation:
Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2
of formal dresses (1- 1/2 = 1/2).
Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]
Clara bought 4 more dresses
[tex]\frac{1}{2}d + 4 = 12[/tex]
Problem
Using the following image, find the value for I.
(x + 13)
(4x + 2)°
Answer:
x=33
Step-by-step explanation:
The angles of a straight line always add up to 180°.
Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33
The two angles:
46° and 134°
completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.
Find the length of the third side if necessary write in simplest radical form
Answer:
7
Step-by-step explanation:
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(√58)^2 - (3)^2 = b^2
58 - 9 = b^2
49 = b^2
b = 7
Evaluate angles d and e, giving reason for your answer
Answer:
Ok so we know that the angle on top is 110 since the angle above is the same.
we also know that all the angle of the triangle will add up to 180 so
D+(180-E)+110=180
we also know that d and the angle directly across are the same so
180-110=70
70divide by 2 equals 35
now we subtratch 35 from 180 to get 145
E=145
D=35
Your Welcome
BIFFY OUT!!!
Answer:
d=e=35 degree
Step-by-step explanation:
If x^151+ 100 is divided by x+1 then the remainder is
Answer: 11 because it all works out.
Mary's bicycle tire has a radius of 40 cm. How far has Mary travelled if her tire has made 50 complete rotations?
Answer:
60009=hh
Step-by-step explanation:
Is "2.323223222…" a rational number.
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.
In parallelogram HJKL if m∡HJK=110∘ find m∡JKL.
Answer:
∠ JKL = 70°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary , then
∠ JKL + ∠ HJK = 180°
∠ JKL + 110° = 180° ( subtract 110° from both sides )
∠ JKL = 70°
Answer:
70
Step-by-step explanation:
did it before
please help me solve this
9514 1404 393
Answer:
x = -9
Step-by-step explanation:
The value 13-8x apparently is the measure of the arc in degrees. That is the same as the measure of the central angle, shown as 85°. Then we have ...
85 = 13 -8x
72 = -8x . . . . . . subtract 13
x = -9 . . . . . . . . divide by -8
The value of x is -9.