Solve the equation. Where necessary, indicate when the equation has no solution or is an identity.
5(2X + 8) - 5x = 5(5x + 6)
Answer:
x=0.5
Step-by-step explanation:
10x-40-5x=2x+30
5x+10=25x
10=20x
x=0.5
Find the coordinates of the
midpoint M. *
A(-4,-8) and B(-1,4)
Please provide an explanation
Answer:
M(-5/2, -2)
Step-by-step explanation:
Add the x-coordinates & divide by 2.
Add the y-coordinates and divide by 2.
x-coordinates: -4, -1
(-4 + (-1))/2 = -5/2
y-coordinates: -8, 4
(-8 + 4)/2 = -4/2 = -2
M(-5/2, -2)
Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordinates of point B?
.
.
.
May you please show me the work?
Answer:
the coordinates of point B are (-5, 2)
Step-by-step explanation:
1. use midpoint formula to find the midpoint (equation attached below)
2. plug in the numbers
[tex](\frac{-8+(-2)}{2},\frac{3+1}{2})[/tex]
3. solve
[tex](\frac{-8-2)}{2},\frac{3+1}{2})[/tex]
[tex](\frac{-10}{2},\frac{4}{2})[/tex]
[tex](-5,2})[/tex]
Anna, Bob and Chris are altogether 31 years old. How old will all three be altogether in three years time? (A)32 (B)34 (C)35 (D)37 (E)40
Answer:
40
Step-by-step explanation:
A+B+C = 31
Add 3 years to each age
A+3 +B+3 + C+3 = 31 +3+3+3
They will be
A+3 +B+3 + C+3 = 40
Answer:
it will be 40
Step-by-step explanation:
If they are altogether 31 years old now in 3 years we just add 9 thus it is 40
Which is the value of this expression {jk^-2/j-1k-3}3, when j=-2 and k=-1?
Answer:
-9
Step-by-step explanation:
{-2*-1^-2/-2-1*-1-3}3
= -9
Answered by GAUTHMATH
CHECK THE IMAGE! FOR THE QUESTION
Answer:
A
Step-by-step explanation:
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
Which of the following equations represents the graph shown?
Answer:
ok from looking at this equation we can we that every it goes 1 up and on over so
-x+2
Hope This Helps!!!
H Solve the following questions.
| Mrs Liya cut a cake into 10 parts and give it out to her 3 children. Liza got the largest parts while Lina got the smallest parts. The difference between the number of parts Liza had and the number of
parts Lina had is equal to the number of parts Lini had. How many
parts did each of them have?
Answer:
Liza: 5 parts
Lina: 2 parts
Lini: 3 parts
Step-by-step explanation:
Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had
5-2=3 parts for Lini
Thank you. Tell me if any incorrections.
URGENT!!!!!!HELP NOW PLEASE!!!!!!!!!
Answer:
$2.96
Step-by-step explanation:
Here, we want to get the expected value
To get the expected value, we have to multiply each payout by its corresponding probability and add up for all
So what this mean is that the expected value is the summation of the products of each pay out and their probability
We have the expected value calculated as;
0(0.12) + 1(0.2) + 2(0.38) + 5(0.2) + 10(0.1)
= 0 + 0.2 + 0.76 + 1 + 1 = $2.96
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
solve for x. Round to the nearest tenth, if necessary.
Answer:
25.1
Step-by-step explanation:
Sin=opposite/hypotenuse
Sinx=4.2/9.9
x=arcsin(4.2/9.9)
x=25.1 degrees rounded from 25.102
y=-3x+5
5x-4y=-3
pls help
Hello!
[tex]\large\boxed{x = 1, y = 2}[/tex]
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer:
(1,2) x=1; y=2
Step-by-step explanation:
We can plug the value of Y into the second equation like so:
[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]
Then we can plug the value of x into the first equation.
[tex]y=-3+5\\y=2[/tex]
(1,2)
Hope this helped! Please mark brainliest :)
Which number completes the system of linear
inequalities represented by the graph?
y> 2x – 2 and x + 4y > _____
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
What system of inequalities generate the graph seen in the image?
Herein we have two inequalities generated by two linear functions whose form is described below:
f(x, y) > a (blue region) (1)
g(x, y) > b (red region) (2)
By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:
Slope
m = [- 4 - (- 3)]/(4 - 0)
m = - 1/4
Intercept
b = y - m · x
b = - 3 - (- 1/4) · 0
b = - 3
Then, the inequation is represented by the linear equation:
y > - (1/4) · x - 3
4 · y > - x - 12
x + 4 · y > - 12
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
To learn more on inequalities: https://brainly.com/question/20383699
#SPJ1
Which of the following steps were applied to ABCD to obtain A'B'C'D?
4
4
O A. shifted 2 units left and 4 units up
OB. shifted 2 units left and 3 units up
O C. shifted 3 units left and 2 units up
OD. shifted 3 units left and 4 units up
Find the HCF of:
3x and 6x.
Answer:
3x
Step-by-step explanation:
We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,
[tex]\implies Numbers = 3x \ and \ 6x [/tex]
Let's factorise the numbers , we get .
[tex]\implies 3x = 3 \times x [/tex]
[tex]\implies 6x = 3\times 2 \times x [/tex]
The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .
[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]
the area of the rectangle is 48cm^2
show that x satisfies the equation x^2 + 7x -78 = 0
Answer:
No its doesn't satisfy the equation.
[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]
For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x, and explain how you know which Law to use. Then find angle x to the nearest tenth.
NOTE: The perimeter of ABC-31
Given:
The figure of a triangle.
The perimeter of the triangle ABC is 31.
To find:
The value of x in the given triangle.
Solution:
Three sides of the triangle ABC are AB, BC, AC are their measures are [tex]3b-4,2b+1,b+10[/tex] respectively.
The perimeter of the triangle ABC is 31.
[tex]AB+BC+AC=31[/tex]
[tex](3b-4)+(2b+1)+(b+10)=31[/tex]
[tex]6b+7=31[/tex]
Subtract 7 from both sides.
[tex]6b=31-7[/tex]
[tex]6b=24[/tex]
[tex]b=\dfrac{24}{6}[/tex]
[tex]b=4[/tex]
Now, the measures of the sides are:
[tex]AB=3b-4[/tex]
[tex]AB=3(4)-4[/tex]
[tex]AB=12-4[/tex]
[tex]AB=8[/tex]
[tex]BC=2b+1[/tex]
[tex]BC=2(4)+1[/tex]
[tex]BC=8+1[/tex]
[tex]BC=9[/tex]
And,
[tex]AC=b+10[/tex]
[tex]AC=4+10[/tex]
[tex]AC=14[/tex]
Using the law of cosines, we get
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\cos A=\dfrac{(AC)^2+(AB)^2-(BC)^2}{2(AC)(AB)}[/tex]
[tex]\cos A=\dfrac{(14)^2+(8)^2-(9)^2}{2(14)(8)}[/tex]
[tex]\cos A=\dfrac{179}{224}[/tex]
Using calculator, we get
[tex]\cos A=0.7991[/tex]
[tex]A=\cos ^{-1}(0.7991)[/tex]
[tex]x=36.9558^\circ[/tex]
[tex]x\approx 37.0^\circ[/tex]
Therefore, the value of x is 37.0 degrees.
Can someone please help me with this?
question 2 help pls
Answer:
[tex](\sqrt{x+3} )^{2} + 4^{2} = 5^{2}[/tex]
x + 3 + 16 = 25
x + 19 = 25
x = 6
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
In the diagram, what is AC?
find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex] ; now find AD=AB-DB=21-15=6 .Then AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in both right triangles
To find BD
BD² + CD² = BC²
BD² + 8² = 17²
BD² + 64 = 289 ( subtract 64 from both sides )
BD² = 225 ( take the square root of both sides )
BD = [tex]\sqrt{225}[/tex] = 15
Then
AD = AB - BD = 21 - 15 = 6
To find AC
AC² = AD² + CD²
AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
AC = [tex]\sqrt{100}[/tex] = 10 → C
how do you discribe any opposite in a parallelogram?
Answer:
Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Step-by-step explanation:
the sum of three consecutive terms of an arithmetic progression is 24, find the middle term?
Answer:
Therefore,
Middle term = 8
Sequence,
a-d, a, a+d = 8-6, 8, 8+6
= 2,8,14
Step-by-step explanation:
Answer:
The middle term is 8
Step-by-step explanation:
The middle term is 8.
What is the domain of the square root function graphed below
Answer:
Dominio de una Raíz cuadrada
Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.
Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.
Step-by-step explanation:
qsy
Can someone help me with this question please. I've been struggling.
Write the equation of the line of reflection
Answer:
y=-1
Step-by-step explanation:
Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.In which section of the number line is 32−−√?
where's the number line?
maybe u can attach it at the comments:)
Answer:
Section B
Step-by-step explanation:
Solve the system of equations.
−5x−3y−9=0
4x−18y−54=0
y=? x=?
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
The side of a rectangle legnth x+2 and width x-5. WHich equation describes the area A of the rectangle in terms of x?
Answer:
[tex] {x}^{2} - 3x - 10[/tex]
Step-by-step explanation:
Area= length× width
[tex](x + 2)(x - 5) \\ {x}^{2} + 2x - 5x - 10 \\ {x}^{2} - 3x - 10[/tex]
Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!
Answer: $83.94
Step-by-step explanation:
20% = 0.269.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94
Multiply and reduce to lowest form and convert into a mixed fraction:
a) 15 x 3/5
b) 4 x 1/3
c) 5/2 x 6
Answer:
a) 9
b)
[tex]1 \frac{1}{3} [/tex]
c) 15
Step-by-step explanation:
The first step is to cancel out the fraction's denominator if possible.
a)
[tex]15 \times \frac{3}{5} [/tex]
We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is
[tex]3 \times \frac{3}{1} [/tex]
Since 3/1 is 3, we can now simplify the values:
[tex]3 \times 3 = 9[/tex]
b)
[tex]4 \times \frac{1}{3} [/tex]
4 is indivisible by three and gives a non-whole value. This is not what we need here.
Instead we should do the division rule and find the remainder.
In this case, 4 divided by 3 gives 1 with a remainder of 1.
[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]
After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:
[tex] \frac{4}{3} = 1r1[/tex]
The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:
[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]
c)
[tex] \frac{5}{2} \times 6[/tex]
For this part, we can cancel out 2 since 6 is divisible by 2. This gives:
[tex] \frac{5}{1} \times 3[/tex]
Since 5/1 is 5,
we can now solve part c:
[tex]5 \times 3 = 15[/tex]