Answer: 10ˣ⁺² = x² + 5x - 18
Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.
Notice that we aren't given a base, so we know that we are
dealing with a common log which has a base of 10.
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
find the area of this parallelogram. HELP ASAP!
Answer:
260cm^2
Step-by-step explanation:
Given,
Base = 20cm
Height = 13cm
Area of a parallelogram = Base * Height
= 20 * 13
= 260cm^2
Answer:
260
Step-by-step explanation:
Area of parallelogram = base length times height
Given height = 13cm
Given base Length = 20
Area = 20 * 13 = 260
Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?
Answer:
?
Step-by-step explanation:
The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator
Answer:
x = √3
Step-by-step explanation:
Find the diagram attached
Given
Opposite = √3
Adjacent = x
Acute angle theta = 45degrees
According to SOH CAH TOA;
tan theta = opp/adj
tan 45 = √3/x
x = √3/tan45
x = 1
x = √3
Hence the value of x in its simplest radical form is √3
. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50
Answer:
B. ) 36-48-60
Step-by-step explanation:
From Pythagoras theorem, we can determine the sides of the triangle by testing the options
a^2 + b^2 = c^2
Then test the options
B. ) 36-48-60
36^2 + 48^2 = 60^2
3600 + 2304 = 3600
3600= 3600
Since both sides have equal values, then OPTIONS B express a correct sides of the triangle
C.) 6-10-14
6^2 + 10^2 = 14^2
36+ 100= 196
136= 196( it doesn't make an equality then it's not the answer
Write 1/3 x^2 - 4x + 17 in vertex form
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42
What are the dimensions of the rectangle shown on the coordinate plane?
The base is 5 units and the height is 4 units.
Hope this helps! :)
Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2
Answer:
d = 3h - 6
Step-by-step explanation:
Given
h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )
h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )
3(h - 2) = d , that is
d = 3h - 6
Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree
Ratio remains same
Let that be x[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]
[tex]\\ \rm\rightarrowtail 2=x/24[/tex]
[tex]\\ \rm\rightarrowtail x=48[/tex]
which number line models the expression -1 1/4 - (-1/2)
Answer:
option on c or under the first answer
C option number line models the expression -1 1/4 - (-1/2)
What is number line?A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
According to question the given expression is -1 1/4 - (-1/2)
On solving -1 1/4 = -5/4 or -1.25
and we can write (-1/2) as -0.5
so the expression is simplified to -1.25 - (-0.5) = -0.75
Thus the correct option is "C"
To know more about number line click here
https://brainly.com/question/16191404
#SPJ2
isaiah draws three different diagrams to represent the samples space of picking a marble from the bag and spinning the spinner . NEED HELP NOWWW YOU WILL GET BRAINLIEST FASTTT
Answer:
Step by step explanation:
A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture
9514 1404 393
Answer:
5.92 inches on a side
Step-by-step explanation:
The new dimension is the original dimension multiplied by the scale factor.
(8 in)(74%) = 5.92 in
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight
ANSWER QUICK PLEASE!!!
Hope this helps!!!
Have a great day!!!
The volume will increase by a factor of eight.
What is Volume of Cylinder?
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Volume of Cylinder = πr²h
Put, r = 2R, h = 2H
New volume of Cylinder = π (2R)².2H
= π.4R².2H
= 8πR²H
= 8V
Thus, the volume will increase by a factor of eight.
Learn more about volume of cylinder from:
https://brainly.com/question/16788902
#SPJ2
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
63/10, 6.396, 6.99, 7 4/11
Step-by-step explanation:
Convert all to fraction or decimal
Find WX. Assume that segments which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
Tangent from the point outside the circle are equal
WX = XY
7x - 29 = 2x + 16 {Add 29 to both sides}
7x = 2x + 16 +29
7x = 2x + 45 {Subtract 2x from both sides}
7x - 2x = 45
5x = 45 {Divide both sides by 5}
x = 45/5
x = 9
WX = 7x - 29
= 7*9 - 29
= 63 - 29
WX = 34
HELP PLSSSSSSSZzzzzzzzzzzzz
Answer:
w equal to 9z
or z equals to w/9
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.
Answer:
Number of milk chocolate in beg = 56
Step-by-step explanation:
Given:
Probability of randomly choosing a dark chocolate = 3/8
Number of dark chocolate = 21
Find:
Number of milk chocolate in beg
Computation:
Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate
Number of milk chocolate in beg = 21 / [3/8]
Number of milk chocolate in beg = 21[8/3]
Number of milk chocolate in beg = 7[8]
Number of milk chocolate in beg = 56
I need help I’m stuck
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
I need help with my math work .
Answer:
lol ! where is your question?
express the following number in words; 3468729165
Answer:
three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five
Step-by-step explanation:
You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9
3) 6x - 1 = 9 4) 6x - 3 = 9 distributive
5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9
What is the value of x? How do you know?
Answer:
go to photo math
Step-by-step explanation:
math subject
true or false about geometry and measurement Garde 6
true or false
two rays with the same end point from an angel
I will give u branilist
Answer:
True
Step-by-step explanation:
An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.
Answer:
false
Step-by-step explanation:
two rays with don't have the same end point from an angle
Can someone please help for this question?
The length of a box is 6 inches, the width is 4 inches and the height is 2/8 inches. What is the volume of the box?
Answer:
6 cubic inches
Step-by-step explanation:
To find the volume of a box you do Length * Width * Height
So we can do:
6*4*2/8
=24*2/8
=6
The volume of the box is 6 cubic inches
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
Solve 5x2-2x-8=0 using the quadratic formula.
Answer:
[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
In [tex]5x^2-2x-8=0[/tex], we can assign the values:
[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8Thus, we have:
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]
Answer:
(1+√41)/5, (1-√41)/5
Step-by-step explanation:
quadratic formula is (-b±√(b^2-4ac))/2a
in this equation,
a = 5
b = -2
c = -8
plug in the values
(2±√(4 - 4(5)(-8))/10
(2±√(4 + 160)/10
(2±√(164)/10
(2±2√(41))/10
1. (2+2√41)/10
(1+√41)/5
2. (2-2√41)/10
(1-√41)/5
