Answer:
[tex]x_{24} = a_{2} +b_{4} \\y_{13} = a_{1} - b_{3}[/tex]
:)
Answer:
it -3 and 7
Step-by-step explanation:
Show that DEFG is a rectangle.
Answer:
opposite sides that are parallel,
opposite angles that are congruent,
opposite sides that are congruent,
consecutive angles that are supplementary, and
diagonals that bisect each other.
Step-by-step explanation:
not sure if this is the kind of answer you're looking for so i'm sorry if this didn't help
Answer:
in the steps
Step-by-step explanation:
D(-2,3) E(4,-1) F(2,-4) G(-4,0)
slope DG: (0-3)/(-4+2) = -3/-2 = 3/2
slope EF: (-4+1)/(2-4) = -3/-2 = 3/2
DG // EF
slope DE: (-1-3)/(4+2) = -4/6 = -2/3
slope GF: (-4-0)/(2+4) = -4/6 = -2/3
DE // GF
slope DG = - 1/slope DE
DG ⊥ DE
The same reason
DG ⊥ GF
DE ⊥ EF
EF ⊥ GF
∴ DEFG is a parallelogram with four 90° interior angles, it's a rectangle
(05.03)
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
1 10
2 8
3 6
4 4
Group of answer choices
Initial value: 12, rate of change: -2
Initial value: 8, rate of change: 2
Initial value: 12, rate of change: 2
Initial value 8, rate of change: -2
Answer:
Initial value: 12, rate of change: -2
Step-by-step explanation:
The rate of change is given by change in the y-values over change in x-values.
There is a constant change of -2 in y-values.
There is also a constant change of 1 in the x-values.
The rate of change is -2
The initial value is when x=0,
So we go back one step, and that will give us (0,12)
Therefore the initial value is 12.
Answer:
The answer is A, "Initial value: 12, rate of change: -2."
Step-by-step explanation:
I just completed the test and got it correct.
a=64πm^2 , find circumference, answer in terms of pi
Answer:
16π
Step-by-step explanation:
Circumference = 2πr. Since the radius, r, is unknown, we can get it from the area.
Area = πr² = 64π ;
Divide both sides by π. We are left with
r² = 64; To find r, take square root of both sides
Therefore, r = √64 = 8m;
Circumference = 2×π×8 = 16πm
A mosaic consists of triangular tiles. The smallest tiles have side lengths 6cm, 10cm, an 12cm. Are these tiles in the shape of right triangle? Explain
Answer:
Is not a right triangle
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the greater side (the hypotenuse)
a and b are the legs
Verify
we have
[tex]a=6\ cm\\b=10\ cm\\c=12\ cm[/tex]
substitute
[tex]12^2=6^2+10^2[/tex]
[tex]144=36+100[/tex]
[tex]144\neq 136[/tex]
so
The length sides of triangle not satisfy the Pythagorean Theorem
therefore
Is not a right triangle
An umbrella costs $6. If Iris purchases 2 umbrellas, how much will these umbrellas cost? Solve an equation to find the answer.
Answer: $12
Step-by-step explanation: $6 x 2 = $12
Hope this helps!
Answer:
$12
Step-by-step explanation:
6x=6(2)=12
9 + 3x - 8
can you simplify ?
Answer:
3x+1
Step-by-step explanation:
9+3x-8
9-8+3x
1+3x
Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.
Q: what’s the value of t?
a) 2
b) 3
c) 6
d) 8
The value of t = 2. Option a) 2 is the correct answer.
Step-by-step explanation:
Perimeter is the sum of three sides of a triangle.
Given that, the points D and E are midpoints of the sides.
Therefore,
side AB= AD+DB
AB= 3t + 3t = 6t
side BC= BE+EC
BC= 4t + 4t = 8t
side AC= 7t+6
Perimeter of the triangle= sum of (side AB+side BC+side AC)
48 = 6t+8t+7t+6
48 = 21t+6
t= 42/21
t= 2
Find the distance between
(-12,1) and (12,-1)
ANSWER: Exact Form: 2[tex]\sqrt{145}[/tex]
Decimal Form: 24.08318915
STEP-BY-STEP EXPLANATION:
(-12,1) (12,-1)
Use the distance formula to determine the distance between the two points.
Distance = [tex]\sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }[/tex]
Substitute the actual values of the points into the distance formula.
[tex]\sqrt{(12-(-12))^{2 }+ ((-1)-1)^{2} }[/tex]
Multiply -1 BY -12
[tex]\sqrt{(12+12)^{2 }+ ((-1)-1)^{2} }[/tex]
Add 12 and 12
[tex]\sqrt{24^{2} +((-1)-1)^{2} }[/tex]
Raise 24 to the power of 2
[tex]\sqrt{576 +((-1)-1)^{2} }[/tex]
[tex]\sqrt{576+4}[/tex]
[tex]\sqrt{580}[/tex]
Rewrite 580 as [tex]2^{2}[/tex]·145
Factor 4 out of 580
[tex]\sqrt{4(145)}[/tex]
Rewrite 4 as [tex]2^{2}[/tex]
[tex]\sqrt{2^{2}(145) }[/tex]
Pull terms out from under the radical.
2[tex]\sqrt{145}[/tex]
The result can be shown in multiple forms.
Exact Form: 2[tex]\sqrt{145}[/tex]
Decimal Form: 24.08318915
The distance between the points will be "24.08 units".
Given points:
[tex](x_1,y_1) = (-12,1)[/tex][tex](x_2,y_2) = (12,-1)[/tex]As we know the formula,
→ [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
By substituting the values, we get
[tex]= \sqrt{(12-(-12))^2+(-1-1)^2}[/tex]
[tex]= \sqrt{(24)^2+(-2)^2}[/tex]
[tex]= \sqrt{576+4}[/tex]
[tex]= \sqrt{580}[/tex]
[tex]= 24.08 \ units[/tex]
Thus the above answer is correct.
Learn more:
https://brainly.com/question/21065704
Consider the angle measurements. Which sides are congruent?
A44 B68 C68 and this ia a triangle. Could not apply picture
A) AB ≅ AC
B) AB ≅ BC
C) AC ≅ BC
D) All sides are congruent.
Answer:
Option B) AB ≅ BC
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem Triangle ABC is an isosceles triangle,
because
∠B≅∠C
therefore
The opposite sides to ∠B and ∠C are congruent
AB≅AC
A) AB ≅ AC
The base angles are equal; therefore, the sides opposite the base angles are congruent.
The sum of two numbers is 57. The larger number is 11 more than the smaller number. What are the numbers?
Answer:
I'll tell u later
Step-by-step explanation:
Small number =x
Large number =11 plus x
Now from the question,
[tex]x + 11 + x = 57[/tex]
Therefore 2x plus 11= 57
2x= 57-11=46
X=46÷2=23
To find the two numbers where the sum is 57 and the larger number is 11 more than the smaller number, we set up equations based on the conditions. Solving these equations, we find that the smaller number is 23 and the larger number is 34.
The question involves finding two numbers given certain conditions: the sum of two numbers is 57, and the larger number is 11 more than the smaller number. To solve this, we can set up equations based on the given conditions and solve them step by step.
Let the smaller number be x and the larger number be y. We are given two equations based on the problem statement:
x + y = 57 (The sum of the two numbers is 57.)
y = x + 11 (The larger number is 11 more than the smaller number.)
Substituting the value of y from equation (2) into equation (1), we get:
x + (x + 11) = 57
2x + 11 = 57
2x = 46
x = 23
Now, using the value of x in equation (2) to find y:
y = 23 + 11 = 34
So, the smaller number is 23 and the larger number is 34.
How much greater is the area of a circle with a radius of 6.2 inches than the area of a square with a side length of 4 inches?
Answer:
7.54 times greater.
Step-by-step explanation:
The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.
Final answer:
Calculate the difference in area between a circle and a square given their respective dimensions.
Explanation:
To find the area of a circle with a radius of 6.2 inches:
Calculate the area using the formula A = πr², where r = 6.2 inches.Area of circle = π x (6.2)² = 38.48 square inches.To find the area of a square with a side length of 4 inches:
Calculate the area of the square using the formula A = s², where s = 4 inches.Area of square = 4 x 4 = 16 square inches.Subtract the area of the square from the area of the circle to find the difference:
Difference = 38.48 - 16 = 22.48 square inches.
{-8, 0, 5, 11} which elements are greater than 5
Answer:
Therefore elements greater than 5 is only 11.
Step-by-step explanation:
Set:
A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.
Example:
Let A be the set for {-8, 0, 5, 11}
∴ A = {-8, 0, 5, 11}
This is the set ' A 'consists of elements as a number -8, 0, 5, 11.
Therefore elements greater than 5 is only 11. ( 5 will not come as it is mentioned greater than 5 )
-8, 0 are less then 5
Write the linear equation in standard form.
12x = -9y+ 7
Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
Step-by-step explanation:
the standard form is ax+by=c. So 12x=-9y+7 will be 12x+9y=7
In scoop county 16.8% of residents have diabetes. If 12,914 scioto county residents have diabetes, what is the population of the county
The population of the county is 76,869.
Step-by-step explanation:
Given,
Number of people with Diabetes = 12914
Percent of people with Diabetes = 16.8%
Let,
x be the number of people in county.
16.8% of x = 12914
[tex]\frac{16.8}{100}x=12914\\0.168x=12914[/tex]
Dividing both sides by 0.168
[tex]\frac{0.168x}{0.168}=\frac{12914}{0.168}\\x=76869.04[/tex]
Rounding off to nearest whole number
x = 76,869
The population of the county is 76,869.
Keywords: division, percentage
Learn more about percentage at:
brainly.com/question/10081622brainly.com/question/10341324#LearnwithBrainly
Answer:
i got it for the team sooo
1. 10.1
2. 16.5
3. 58.9
4. 41.1
it gave me the right answers this is edg 2020
Determining Relative Frequencies as Percentages
4 movie tickets cost $48. At this rate, what is the cost of 5 movie tickets
Answer:$60
Step-by-step explanation:
48/4 = 12.
5 × 12 =60
The coaches and umpires in Eagle Rock Little League are all adults. There are four coaches for each team, plus a total of fifteen umpires.
Part A
Write an expression to represent the total number of adults in the Little League, where t is the number of teams.
Part B
If there are nine teams in the league, how many adults are part of the Little League? Show your work.
Answer:
The expression that represents the total number of adults: 4t + 1551 adults are part of the Little League
Explanation:
Part A.
1. Name the variables:
Number of teams: tNumber of adults: A2. Write the function that models the relation between the variables:
There are four coaches for each team: 4t; it s a variable term A total of 15 umpires: 15; it is a constant term A = 4t + 15 (total number of adults)The expression that represents the number of adults is 4t + 15
Part B.
If there are nine teams in the league, you substitute 9 for t in the expression that represents the total number of adults in the Little League (make t = 9) to determine how mnay adults are part of the Little League:
4t + 15 = 4(9) + 15 = 36 + 15 = 51Hence, 51 adults are part of the Little League.
The total number of adults is 51.
Part A: To find an expression for the total number of adults in the Little League, we need to consider both the umpires and the coaches. There are 4 coaches per team and 15 umpires overall.
Thus, the expression for the total number of adults is: 4t + 15
where t represents the number of teams.
Part B: Given there are 9 teams in the league, we can substitute 9 for t in the expression:
Total number of adults = 4(9) + 15
= 36 + 15
= 51
Therefore, there are 51 adults in the Eagle Rock Little League.
Pleas help anyone please
Here’s another one thank u all for helping me. I really appreciate it!
Answer:
100(2)(3.14) = about 628 feet
Steve made 9 3/6 cups of pancake batter on a weekend camping trip. He used 3 4/6 cios of batter for breakfast on Saturday. Write each mixed number as a fraction greater than one.
Answer:
9 3/6 ⇒ 19/2
3 4/6 ⇒ 11/3
Step-by-step explanation:
A fraction greater than one is an improper fraction.
[tex]9\frac{3}{6}[/tex] when converted into an improper fraction is
[tex]9\frac{3}{6} =9+\frac{3}{6} \\\\=\frac{9*6}{6}+ \frac{3}{6}\\\\ =\frac{54}{6}+ \frac{3}{6}=\frac{57}{6}\\\\ =\boxed{\frac{19}{2}. }[/tex]
[tex]3\frac{4}{6}[/tex] when converted to a fraction is
[tex]3\frac{4}{6}=3+\frac{4}{6}\\\\=\frac{3*6}{6}+ \frac{4}{\\\\6}\\\\=\frac{18}{6}+\frac{4}{6}=\frac{22}{6}\\\\=\boxed{\frac{11}{3}. }[/tex]
Thus fractions [tex]9\frac{3}{6}[/tex] and [tex]3\frac{4}{6}[/tex] when converted to fractions greater than one are [tex]\frac{19}{2}[/tex] and [tex]\frac{11}{3}[/tex] respectively.
9 3/6 cups of pancake batter is [tex]\( \frac{19}{2} \)[/tex]and 3 4/6 cups is [tex]\( \frac{11}{3} \)[/tex].
Step 1:
Convert the mixed number 9 3/6 to an improper fraction:
[tex]\[ 9 \frac{3}{6} = \frac{(9 \times 6) + 3}{6} = \frac{54 + 3}{6} = \frac{57}{6} \][/tex]
Step 2:
Simplify the fraction:
[tex]\[ \frac{57}{6} = \frac{19 \times 3}{2 \times 3} = \frac{19}{2} \][/tex]
So, 9 3/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{19}{2} \).[/tex]
Step 3:
Now, convert the mixed number 3 4/6 to an improper fraction:
[tex]\[ 3 \frac{4}{6} = \frac{(3 \times 6) + 4}{6} = \frac{18 + 4}{6} = \frac{22}{6} \][/tex]
Step 4:
Simplify the fraction:
[tex]\[ \frac{22}{6} = \frac{11 \times 2}{3 \times 2} = \frac{11}{3} \][/tex]
So, 3 4/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{11}{3} \).[/tex]
Therefore, each mixed number, when expressed as a fraction greater than one, is [tex]\( \frac{19}{2} \)[/tex] and [tex]\( \frac{11}{3} \)[/tex], respectively.
What two numbers multiple to get -12 and add to -5
Original question: What two numbers multiply to get -12 and add to -5.
Answer:
Pairs of numbers (1.772, -6.772) and (-6.772, 1.772).
Step-by-step explanation:
Let [tex]x[/tex] and [tex]y[/tex] be the two numbers, the we know that
(1). [tex]xy=-12[/tex]
and
(2). [tex]x+y=-5[/tex]
We solve for [tex]y[/tex] in equation(2) and substitute this into equation(1)
[tex]y=-(5+x)[/tex]
[tex]xy=-x(x+5)=-12[/tex]
[tex]x^2+5x-12=0[/tex]
This is a quadratic equation, and its solutions are
[tex]x=1.772\\\\x=-6.772[/tex]
we substitute these two solutions into equation(1) and find the corresponding [tex]y[/tex] values:
[tex](1.772)y=-12\: \therefore y=-6.772[/tex]
[tex](-6.772)y=-12 \: \therefore y=1.772[/tex]
Thus we have two pairs of numbers which multiply to give -12 and add to give -5
[tex](1.772, -6.772)[/tex] and [tex](-6.772, 1.772).[/tex]
Simplify the expression. 2/3 (–9m + 12) a –6m + 8 b–18m + 8 c–6m + 12 d –6m + 24
Answer:
-6m + 8
Step-by-step explanation:
2/3 (–9m + 12) =
Use the distributive property. Multiply 2/3 by each term inside the parentheses.
= 2/3 * (-9m) + 2/3 * 12
= -18m/3 + 24/3
= -6m + 8
Solve the system of equations.
\begin{aligned} & -10y+9x = -9 \\\\ &10y+5x = -5 \end{aligned}
−10y+9x=−9
10y+5x=−5
solve 15x+20-10x-9=25x+8-21x-7
Answer:
X=-10
Step-by-step explanation:
Answer:
Step-by-step explanation:
15x+20-10x-9=25x+8-21x-7
5x + 11 = 4x + 1
Collecting like terms
5x - 4x = 1 - 11
x = -10
$ 6000 invested at an APR of 3.1% for 23 years
Answer:
The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.
Step-by-step explanation:
Investment principal = US$ 6,000
Interest rate = 3.1% compounded annually = 0.031
Time = 23 years
For calculating the future value, we will use the following formula:
Future Value = Investment principal * (1 + r)ⁿ
Replacing with the real values, we have:
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * 2.018 (Rounding to three decimal places)
FV = US$ 12,108
The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.
Simplify. (8x + 5) + (4x2 - 2x - 6) A. 4x2 + 6x - 1 B. 4x2 + 10x + 1 C. 4x2 + 10x - 11 D. 4x2 + 6x + 11
The right ans is A.hope it will help u.........
A cheetah runs 108 meters in 4 seconds. How far can the cheetah run in 9 seconds?
Answer:
Step-by-step explanation:
It moves 108m in 4sec
Than in 1sec it moves 108/4m= 27m
And in 9sec it will move 27×9m
= 243m
If it is true that four out of five dentists recommend chewing sugarless gum after meals how many dentists out of 360 would you expect to make this recommendation
Answer:
85
Step-by-step explanation:
Jennifer cut a length of rope into two pieces. One piece was 2 feet 9 inches long, and the other piece was 3 feet 5 inches long. How long was the rope before it was cut?
A)5 feet 2 inches.
B) 5 feet 4 inches
C)6 feet 2 inches
D)6 feet 4 inches
E)6 feet 6 inches
Answer:
6ft 2ins
Step-by-step explanation:
ins:9+5=14
ft:2+3=5
now you can add another foot because there is 12 ins in 1 foot making the answer 6 feet and 2 inches
Which represents the domain of the relation {(–1, 4), (2, –3), (0, –2), (1, –3)}? {–3, –2, 4} {–3, –2, –1, 0, 1, 2, 4} {–1, 0, 1, 2} {–3}
Answer: (2, -3) ??
Step-by-step explanation:
The required domain of the given relation {(–1, 4), (2, –3), (0, –2), (1, –3)} is {-1, 2, 0, 1}. Option C is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
In a relation, the domain is the set of all the first coordinates (x-values) of the ordered pairs.
The relation given is: {(–1, 4), (2, –3), (0, –2), (1, –3)}
The set of all the first coordinates is {-1, 2, 0, 1}. Therefore, the domain of the given relation is {-1, 2, 0, 1}.
Thus, Option C is correct
Learn more about the domain here:
https://brainly.com/question/24212724
#SPJ2
1.428571429 rounded to the nearest tenth
Answer: 1.428571429 rounded to the nearest tenth is 1.4.
Step-by-step explanation: The answer is 1.4 because the number you were using to round was lower than five.
Final answer:
The number 1.428571429 rounded to the nearest tenth is 1.4, as the hundredth's place digit is less than 5.
Explanation:
To round the number 1.428571429 to the nearest tenth, we look at the first digit after the tenth's place, which is the hundredth's place. If this digit is 5 or greater, we round up. If it's less than 5, we do not round up. In this case, the hundredth's digit is 2, which is less than 5. Therefore, the number 1.428571429 rounded to the nearest tenth is 1.4. This process of rounding to the nearest tenth simplifies numbers while maintaining their approximate value, aiding in concise representation and easier comprehension of numerical data in various contexts.