Answer:
K = 2
Step-by-step explanation:
Rewriting the expression mathematically;
√(k+2)=2√(k-1)
square both sides
k+2=4(k-1)
k+2=4k-4
Collect like terms
2+4=4k-k
6=3k
Dibaide both sides by 3
3k/3 = 6/3
k = 2
What is Y=x^2-3x+1 in vertex form
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3
Pls help me with this.
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
Beginning with the equation 2x + 8y = 12, write an additional equation that would create:
a system with no solutions
Answer:
[see below]
Step-by-step explanation:
A system of equations with no solution would show parallel lines. We just have make a equation that is parallel to the original equation.
The slope of 2x + 8y = 12 is [tex]-\frac{1}{4}[/tex], and it's y-intercept is [tex]\frac{3}{2}[/tex].
Since parallel lines have the same slope but not the same y-intercept, I would use [tex]y=-\frac{1}{4}x+3[/tex].
Any equation that has -1/4 as the slope would work.
When graphed together, they show as a system with no solution.
Hope this helps.
calculate the size of angle AEF
Answer:
Accuate Angel 230 digre
Answer:
90 degrees
Step-by-step explanation:
The sum of the measures of interior angles in a quadrilateral is 360 degrees. A quadrilateral is any shape that has 4 sides. ABCD is a square, and squares have 4 sides, so the sum of the angles inside of the square will be equal to 360. A square has 4 angles, each with equal measure, so to find the measure of one angle, divide 360 by 4: 360/4=90. Each angle in a square measures 90 degrees.Triangle DEF is an equilateral. This means that each side is equal, but it also means that each angle will be equal too. The sum of the measure of interior angles in a triangle is 180 degrees, and a triangle has 3 angles, therefore you can find the measure of each angle in an equilateral by dividing 180 by 3: 180/3=60. Each angle in an equilateral triangle measures 60 degrees.The measure of a straight line is always 180 degrees. CDF is a straight line, and it is made up of 3 angles:-Angle CDA
-Angle ADE
-Angle EDF
Since the measure of CDF has to be 180 degrees, the measures of angles CDA, ADE, and EDF must add up to 180.Angle CDA is an angle of a square, so it is equal to 90 degreesAngle EDF is an angle of an equilateral triangle, so it is equal to 60 degrees.The angles must add up to 180, so 90+60+ADE=180You can subtract 90 and 60 from 180 to find the measure of ADE: 180-90-60=30The question tells us that triangle ADE is isosceles. There is a theorem called base angles theorem, and it states that if two sides of a triangle are equal in length, then the two angles opposite from them will be equal in measure. Using this theorem, we can find that the measure of angle ADE is equal to the measure of AED. We already found out that ADE is 30 degrees, so AED is also 30 degrees. But the angle we are looking for is AEF:AEF is made up of angles AED and DEF, so the measures of angles AED+DEF=AEF. DEF is part of the equilateral triangle, so we know it is 60 degrees. We already found that AED is 30 degrees, so add 30 and 60 degrees: 30+60=90. AEF is 90 degrees.on Monday, 241 students went on a trip to the zoo. all 5 buses were filled and 6 students had to travel in cars. how many students were in each bus?
Answer: 47
Step-by-step explanation:
I just worked it out and checked my work with a calculator :)
I will mark Brainlyst
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
~
find the translation of the triangle along v
Answer:
The v with arrow is for vector so you find the slope and apply it to each of the vertices
Step-by-step explanation:
Can someone help?????
pls help will give brainliest
Answer: 120ft
Step-by-step explanation:
To work out the area of this composite shape you would have to work out the two shapes separately. The shape could be split into 2 rectangles.
The formula for the area of a rectangle is base x height.
So, to work out the area of the living room you have to do 15x7=105
Then to work out the area of the foyer, you would have to do 3x5=15
Because you want the area of both of the shapes together, you have to add the two areas of the rectangles together.
So 105+15=120
Please help.
Algebra.
9. Bella hiked a 13-kilometer trail at Great Peak. How many meters did Belle
hike? 1km = 1,000m
A 0.13
B 0.013
C 1,300
D 13,000
9.)
Answer:
D. 13,000
Step-by-step explanation:
If there are 1,000 m in 1 km, we can find the number of meters she hiked by multiplying 13 by 1,000:
13(1000)
= 13,000
So, Belle hiked 13,000 meters.
The correct answer is D. 13,000
Pleas help me I need help really bad Which shows the given inequalities in slope-intercept
form?
Given the system of inequalities:
4x - 5y = 1
{y-x53
Oyster
y<2x + 6
oyz - 5
y< 2x + 6
O y2-*** }
y > 2x + 6
Answer:
the answer is B
Step-by-step explanation:
32
Which set of values makes the inequality n > -5 true?
A
{-5, -5.5, -6}
B
{-5, -4.5, -3}
С
{-6,0,5}
D
{-6, -7,-8}
Answer:
B
Step-by-step explanation:
≥ means that it is greater than or equal to.
Any set that has all numbers over or equal to -5 would be correct, meaning that -5, -4.5, and -3 would be correct.
Hope this helps. Have a nice day.
Inequalities help us to compare two unequal expressions. The set of values makes the inequality n > -5 true is {-5, -4.5, -3}.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
As we need to find the values that will satisfy the inequality n≥-5, therefore, we need values that are greater than or equal to -5.
Hence, the set of values makes the inequality n > -5 true is {-5, -4.5, -3}.
Learn more about Inequality:
https://brainly.com/question/19491153
i need to know which one is an expression, equation, and inequality
Answer/Step-by-step explanation:
An expression is a series of number without any signs so expression would be the first one.
Inequality would be when they do a sign like > or <, etc. so it would be the 2nd one.
Equation would be when they have an equal sign which would be the 3rd one.
Simple Ex.
Expression : 2 + 66 / 11 - 3 x 2
Inequality : g + h > f
Expression : 4j - 3 = j
Hope this helps :)
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
Answer:
157.08
Step-by-step explanation:
Hello There!
The first step in solving this problem is to find the formula for volume of a cylinder
To find the volume of a cylinder we use this formula
[tex]V=\pi r^2h[/tex]
Where r = radius and h = hypotenuse
we are given the height and the diameter
To convert the diameter to radius we divide the diameter by 2
5/2=2.5
so the radius is 2.5
now we plug in the values
[tex]V=\pi 2.5^28\\2.5^2=6.25\\6.25\pi =19.63495408\\19.63495408*8=157.0796327[/tex]
So the volume of the cylinder is 157.0796327
now we just round to the nearest hundredth and get that the volume of the cylinder is 157.08
Given circle B below, find the value of x.
(3x + 10)
(2x - 17)
Answer: 44
Step-by-step explanation:
since the inscribed angle is half of true arc measure, (3x+10)= 2(2x-17).
when you work this out, you get 44 as x.
The value of x from the given figure is 44°. Therefore, option B is the correct answer.
What is relation between angle at the center and the angle at the circumference?The angle subtended by an arc at the center is twice the angle subtended at the circumference . More simply, the angle at the center is double the angle at the circumference.
From the given figure,
Angle at circumference is (2x-17)° and angle at center is (3x+10)°.
Now, (3x+10)°=2(2x-17)°
3x+10=4x-34
4x-3x=10+34
x=44°
Therefore, option B is the correct answer.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313
#SPJ6
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
x+y=-3
X+Y=7
no solution?
Answer:
no solution
Step-by-step explanation:
x + y cannot be equal to both -3 and 7, so there is no solution.
A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
The area of the sidewalk is __ m2.
Answer: 56.55 m^2
Step-by-step explanation:
HELP ASAP will give brainlist
Answer:
add the numbers first and divide to 3x
A can in the shape of a cylinder has a diameter of 10 centimeters and a height of 6 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
A) 345.58 cm2
B)293.88 cm2
C)222.36 cm2
D)449.2 cm2
The measurement 345.58 cm² is the closest to the total surface area of the can in square centimeters.
The correct option is A.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given:
A can in the shape of a cylinder has a diameter of 10 centimeters and a height of 6 centimeters.
The surface area of the cylinder,
= 2π r h + 2π r²
= 2 (3.14)(5)(6) + 2 (3.14) (25)
= 345.4 square centimeters.
Therefore, 345.58 cm² is the closest value.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ6
Use the figure to complete the proportion.
Answer:
BE / AB = HE / AH
Step-by-step explanation:
AE is angle bisector
BE / HE = AB / AH
BE / AB = HE / AH
Pls help i will give brainliest
Answer:
4:120, 6:180, 8:240
each time it's 30 x the amount of bags, it's 30 pounds a bag
Step-by-step explanation:
1. Find the value of x.
76°
(3x-1)
PLEASE HELP ,
show work
Step-by-step explanation:
Divide each term in 3x = 1 by 3
3x/3 = 1/3
cancel the common factor of 3
x = 1/3
decimal form
0.3
What is the probability that a data value in a normal distribution is between a
z-score of -1.98 and a z-score of 1.11? Round your answer to the nearest
tenth of a percent.
A. 65.0%
B. 55.3%
C. 46.2%
D. 84.3%
Answer:
answer b.....plz follow me