Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
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
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
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If x^151+ 100 is divided by x+1 then the remainder is
Answer: 11 because it all works out.
Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no
Answer:
Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company
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
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
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. h What is the probability of drawing a red marble out of the bag without looking? 1/9 2/9 1/3 1/2
Answer:
1/3
Step-by-step explanation:
3+3+2+1=9 marbles
3 are red so 3/9
3/9=1/3
john drew a polygon with two line segments
Answer:
hey. pls complete your question
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:
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
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
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)
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.
Dasukede kudasai
Trigonometry prove
Photo attached
Answer:
Step-by-step explanation:
Formulas used:
[tex]sin( A +B) = 2sin Acos B\\\\sin A= sin (\frac{A}{2} + \frac{A}{2}) = 2 \ sin \frac{A}{2}cos \frac{A}{2}\\\\cos(A + B) = cosA cosB - sinA sinB\\\\cos A = cos(\frac{A}{2} + \frac{A}{2}) = cos \frac{A}{2} cos \frac{A}{2} - sin \frac{A}{2} sin \frac{A}{2}[/tex]
[tex]= cos^2 \frac{A}{2} - sin^2 \frac{A}{2}[/tex]
[tex]1 - sin^2 \frac{A}{2} = cos^2 \frac{A}{2}[/tex]
[tex]\frac{sin\frac{A}{2}}{cos\frac{A}{2}} = tan\frac{A}{2}[/tex]
Given :
LHS =
[tex]\frac{sin \frac{A}{2} + sin A }{1 + cos \frac{A}{2} + cosA}\\\\=\frac{sin \frac{A}{2} + 2sin \frac{A}{2} cos \frac{A}{2} }{1 + cos \frac{A}{2} +cos ^2\frac{A}{2} -sin^2 \frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} + 1 - sin^2\frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} +cos ^2 \frac{A}{2} }\\\\[/tex]
[tex]=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + 2cos ^2 \frac{A}{2} }\\\\=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} ( 1 + 2cos \frac{A}{2}) }\\\\=\frac{sin\frac{A}{2}}{cos\frac{A}{2}}\\\\= tan \frac{A}{2}\\\\= RHS[/tex]
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....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
What is the scale factor from triangle ABC to triangle DEF? SHOW YOUR WORK
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.
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
(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....
ADEF is a dilation of AABC by a scale factor of. Which of the following
proportions verifies that AABC and ADEF are similar?
15
12
5
O A.
DE BC
AB DF
OB.
AB
DE
EF
AC
OC. PRO
DE
ВС
OD.
DE
=
AC
DF
Answer:
c
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
DEF should be three times as big as ABC
AB = 5 ; DE = 5 x 3 = 15
AC = 3 ; DF = 3x 3 = 9
BC = 4 ; EF = 4 X 3 = 12
the options that correspond to this is option c
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.
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 )
Simplify each using positive exponents only: questions on image
Answer:
16) 8/X
19) 16x^8
22)81x^8
1x1x2x2x9x9x9x9x9x9x8x8x7x6x5x8x7x8x7x8x7x86x566x64x32x66x2x73747x766x0
Answer:
0
Step-by-step explanation:
Anything times 0 is 0.
Without the 0 it's 3.72966900E+33.
What is 14c12?
A. 78
B. 91
C. 105
D. 120
9514 1404 393
Answer:
B. 91
Step-by-step explanation:
14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91
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.
Find the edge length
x^3= 125000 m^3
x=50 m