Answer:
4 feet
Step-by-step explanation:
Let the side length of the square be x feet.
x^2 - 5 = 59
x^2 = 64
x = ±4 (reject - 4 since length > 0)
Topic: Areas of polygons
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Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
If the r-value, or correlation coefficient, of a data set is 0.841, what is the
coefficient of determination to three decimal places?
Answer: 0.707
Step-by-step explanation:
Answer: 0.707 is the correct answer!!
Step-by-step explanation:
Which expression is equivalent to sqrt(80)?
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
To learn more about triangle visit:
https://brainly.com/question/27682397
#SPJ1
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
13 is 26%of what number
120 is 30% of what number
Answer:
1. 50%
2. 400
Solve for the value of c.
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
All of the following are terminating decimals except _____.
We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Answer:
L = 18,4 ft
Step-by-step explanation:
The building, the ground, and the ladder make up a right triangle, with legs:
The distance (a) between the bottom of the ladder and the building 12 ft
The distance (b) between the gound and the window 14 ft up
The hypothenuse is the length of the ladder (L)
According to Pythagoras theorem
L² = a² + b²
L = √ (12)² + (14)²
L = √ 144 + 196
L = √ 340
L = 18,4 ft
There are 3 students on a team for a relay race. How many teams can be made from 32 students?
Answer:
10 teams, 2 students would be left out I think.
Hope this helped :)
Which expression is equivalent to 3 radical x^5y
Answer:
√3 x^5y
√3=1.7
1.7 • x^5 • y
1.7 • X^4• x• y.
Step-by-step explanation:
hope it helps.
have a wonderful day!
Answer:
x^5/3 y^1/3
Step-by-step explanation:
i took the test and got it correct.
Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer
Answer:
The area of given figure is: 179.3
Step-by-step explanation:
The figure consists of a rectangle and a semi-circle
The length of rectangle is 14 and width is 10.
The width of rectangle is also the diameter of the semi-circle.
So,
d = 10
[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]
Area of Semi-Circle:
[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]
Area of Rectangle:
[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]
The total area will be the sum of area of rectangle and the area of semi-circle
So,
[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]
Rounding off to nearest tenth
The total area is: 179.3
1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
what's the sum of 6+y
Answer:
6y?
It's probably wrong but off the top of my head, 6y
126×(−55)+126×5 STEP explanation
A store buys lawnmowers from the manufacturer and marks
up the price by 40% to arrive at a retail price. Fill in the
blank: The wholesale price is times the retail price.
Answer:
0.7142857
Step-by-step explanation:
Let wholesale price = x
Retail price = 40% Markup of wholesale price
Retail price = (100 + 40)% of x
Retail price = 140% of x
Retail price = 140/100 * x
Retail price = 1.4x
Hence,
Wholesale price / retail price
x / 1.4x
= 0.7142857
Hence, wholesale price is 0.7142857 of the retailer price
What is the slope of the line?
-2
1/2
1
2
Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
y=½x+5
Step-by-step explanation:
Passes through, (1,3)
Perpendicular to x-2y=-8.
Step 1
write the equation in form of y=mx+c
x-2y=8
-2y=-x+8
Dividing both sides of the equation by -2 we get;
y=-x/2+8
y=-½x+8
Thus the gradient is -½. Call it M1
Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e
M1 × M2= -1
Solve for M2
-½×M2=-1.
Dividing both sides by -½ we get
M2=-1×-2
M2=2Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8
Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).
Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.
Slope=∆x/∆y
M2=(x-1)/(y-3)
but M2 is 2
2=(x-1)/(y-3)
2/1=(x-1)/(y-3) Note: 2= 2/1
Cross multiplying we get:
2(y-3)=1(x-1)
Open the brackets
2y-6=x-1
Solve for y so as to write the equation in form of y=mx+c
2y=x-1 +6
2y=x+5
Divide both sides of the equation by 2
y=x/2+5
y=½x+5An object has an acceleration of 12.0 m/s/s. If the mass of this object were tripled (with no change in its net force), then its new acceleration would be m/s/s.?
Answer:
ummm
Step-by-step explanation:
I believe it's A2=8m/s^-2
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
Can you guys help me pls
what is the measure of the larger angle in this degree?
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
what expression gives the solution to -5+2x^2=-6x
Answer:
Step-by-step explanation:
2x² + 6x - 5 = 0
D = 36 + 40 = 76 = (2√19)²
[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2
[tex]x_{2}[/tex] = ( - 3 + √19) / 2
Solve and graph.
3<4-2x<6
Answer:
X ( - 1, 1/2)
Step-by-step explanation:
4 - 2x > 3
4 - 2x < 6
Then solve the inquality for x
X< 1/2
X > - 1
Then u get the answer x ( - 1, 1/2)
Note: [ 1/2 is 1 over 2]
Step-by-step explanation:
3<4-2x 4-2x<6
-1<-2x -2x<2
1/2>x x>-1
x<1/2
the graph shown in pic