Answer:
Step-by-step explanation:
x^2 - 4x - 5 = 0
(x - 5)(x + 1) = 0
x - 5 = 0
x = 5
x + 1 = 0
x = -1
We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.
For an equation like a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Using that formula we will get that the solutions in ascending order are -1 and 5.
Now let's see how to get that:
We have expression: x^2 - 4x = 5
We can rewrite this as:
x^2 - 4x - 5 = 0
Now we can use the Bhaskara's formula to get:
[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]
Then the two solutions are:
x = (4 + 6)/2 = 5
x = (4 - 6)/2 = -1
Then the solutions in ascending order are -1 and 5.
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sometime outiers can have a significant effect on statistics and sometime they don't . Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.
Anyone know how to do??
Answer:
30°
Step-by-step explanation:
Step 1:
2x + 10 + 4x + 80 = 180 Sum of a line
Step 2:
6x + 90 = 180 Combine Like Terms
Step 3:
6x = 90 Subtract 90 on both sides
Answer:
x = 30° Divide
Hope This Helps :)
The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides
Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
Evaluate the function, f(x) = 3x + 1, for f -2/3
3
7
-1
-5/9
Answer:
To find the inverse, interchange the variables and solve forNaomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?
Answer:
4 hours
Step-by-step explanation:
16.5+x2
7.5+x4
16.5+2=17.5+2=19.5+2=21.5+2=23.5
7.5+4=11.5+4=15.5+4=19.5+4=23.5
3x - 9(x-2) = 18x + 30
solve the equation. x^2+49=0
a.) no real solution.
b.) x= 7
c.) x= -7
d.) x= -7 and x= 7
Answer:
C
Step-by-step explanation:
-7 squared is -49, -49 plus 49 is 0.
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
Answer:
$1.30
Step-by-step explanation
yup its 100% sure
can u brainliest i really need it
:) <3
Use deductive reasoning to show that the two triangles are congruent. given that fab is congruent to ged and c is the midpoint of ae prove that abc is congruent to edc
Answer:
ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule
Step-by-step explanation:
The
Statement [tex]{}[/tex] Reason
∠FAB ≅ ∠GED [tex]{}[/tex] Given
C = Midpoint of [tex]\overline {AE}[/tex] [tex]{}[/tex] Given
∠BAC and ∠FAB are supplementary Angles on a straight line
∠DEC and ∠GED are supplementary Angles on a straight line
∠BAC ≅ ∠DEC [tex]{}[/tex] Transitive property
[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex] [tex]{}[/tex] Definition of midpoint
ΔABC ≅ ΔEDC [tex]{}[/tex] ASA congruency rule
Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent. [tex]{}[/tex]
Find the area of the isosceles triangle
Slope: 13cm
Base: 10cm
Answer:
65
Step-by-step explanation:
A=hbb
2=13·10
2=65
Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?
Answer:
35 min
Step-by-step explanation:
given that the total time spent is 140min
and that the time spent reading is x minutes
and also that the time spent doing home work is 2(x+5)
the time spent playing video game is 25
the expression for the total time is given as
total = reading +homework +video game
140=x+2(x+5)+25
solving for x we have
140=x+2x+10+25
140=3x+35
140-35=3x
105=3x
x=105/3
x=35
kenny spent 35 min reading
Time spend for reading is 35 minutes
Given that;
Total number of minutes Kenny have = 140 minutes
Time spend for reading = x
Time spend for homework = 2(x + 5) = 2x + 10
Time spend for games = 25 minutes
Find:
Time spend for reading
Computation:
Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games
140 = x + 2x + 10 + 25
3x + 35 = 140
3x = 105
x = 105 / 3
x = 35
So,
Time spend for reading = 35 minutes
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When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?
Answer:
The vertex
Step-by-step explanation:
Vertex form shows you the vertex of a quadratic equation.
the y coordinate of the point is determined by k.
the x coordinate is determined by:
(x-h)=0
x-h=0
+h +h
x=h
Which of the following number is between 5 and 10 on a number line
[tex] \sqrt{44} [/tex]
[tex] \sqrt{38} [/tex]
[tex] \sqrt{21} [/tex]
[tex] \sqrt{6} [/tex]
[tex] - \sqrt{59} [/tex]
[tex] - \sqrt{8} [/tex]
Answer:
first second and fifth are the answers
The quotation of 3÷3/4=?
A. 3
B. 4
C. 9
D. 12
Answer: B. 4
Hope this helps you!
Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
D. Determine the volume of a sphere given the radius
Answer:
C
Step-by-step explanation:
Mathematically, the volume of a cube of side L is given as;
V = L^3
Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides
By finding the cube roots of both sides, we can easily get the value of the side of the cube in question
Solve each system by using substitution
X= Y - 2 4X + Y = 2
Answer:
10
Step-by-step explanation:
Answer:
(0, 2 )
Step-by-step explanation:
Given the 2 equations
x = y - 2 → (1)
4x + y = 2 → (2)
Substitute x = y - 2 into (2)
4(y - 2) + y = 2
4y - 8 + y = 2
5y - 8 = 2 ( add 8 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
Substitute y = 2 into (1) for corresponding value of x
x = 2 - 2 = 0
Solution is (0, 2 )
Anyone want to help me with math
Solve 1−2/5 < 5x+2/5−4x
Answer:x > 1/5
Step-by-step explanation:
when you went to bed the temperature was -5.5 it fell 3.4 degrees overnight what is the temperature now
Answer:
-2.1
Step-by-step explanation:
3.4 minus -5.5
what is b when b^2=46
Answer:
b^2 = 46
b = √46 (or 6.78 rounded)
Answer:
b≈6.78
Step-by-step explanation:
Just punch in your calculator the square root of 46.
[tex]\sqrt{46} =b[/tex]
b≈6.78
Which linear function has the same slope as the one that is represented by the table? x y Negative one-half One-fifth Negative one-fifth StartFraction 7 Over 50 EndFraction One-fifth StartFraction 3 Over 50 EndFraction One-half 0 y = negative one-half x + StartFraction 1 Over 10 EndFraction y = negative one-fifth x + one-half y = one-fifth x minus one-half y = one-half x minus StartFraction 1 Over 10 EndFraction
Answer:
B
Step-by-step explanation:
hope this helps
Answer:
B.
Step-by-step explanation:
Please help I don’t understand
Answer:
y = -2x+4
Exp:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 2 – 1 = 1
ΔY = 0 – 2 = -2
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = -2x + 4
When x=0, y = 4
When y=0, x = 2
Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3
Answer:
AC = DE
Step-by-step explanation:
Solve for q.
HEELLPP
PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!
Answer: This can help you step by step
Step-by-step explanation:
Which of the following is arranged in the correct order?
A. |31| > |-41| > |-3| > |5|
B. |-41| > |31| > |5| > |-3|
C. |-41| > |31| > |-3| > |5|
D. |31| > |5| > |-3| > |-41|
Answer:
it's B.
Step-by-step explanation:
41>31>5>3
Which transformation can be used to accomplish this?
A. Dilation
B. Rotation
C. Reflection
D. Translation
Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?
Answer:
a) by finding the incentre
b) 5 km
Step-by-step explanation:
Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .
a) the in center point can be used to have equal distance to the path linking each communities.
We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.
Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.
This is the incentre which is equidistant from each vertex.
b) Using Pythagorus theorem
c² = a² + b²
7²= 5² + b²
b²= 24
b= 4.89= 5 km
The path between B and C is also 5 km.
Sum of twice a number and 15 is greater than 3
The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6
From the question given;
The Sum of twice a number and 15 is greater than 3.In essence;
Let the number in discuss be; x so the we have;2x + 15 > 3By solving;
2x > 3 -152x > -12x > -6.Read more on inequalities;
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Minute Math 10
Please help me.
Answer:
Step-by-step explanation:
1. False
2. True
3. False
4. 12/2, 8/8, 2^2
5. 0.375
6. Through the middle vertically
7. a
What is the product of (-6)(-7)(-1)?
042
O-14
O 14
O 42
Answer:
-42
Step-by-step explanation:
(-6)(-7)(-1)
42(-1)
-42