1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answer:
a)x+y=7 and y-x=3
b)x=2 and y=5
Step-by-step explanation:
The total of the two perimeters must equal 28. That is:
4x+4y=28
x+y=7 (simplified)
The larger side length is 3 inches longer than the smaller side length. That is:
y=x+3
Sub 'x+3' in for y:
x+(x+3)=7
x+x=7-3
2x=4
x=2
y=x+3
=2+3
=5
Translate the image ( x + 5, y - 1 )
Answer:
In 1 at place the image is possible
Ben the chicken farmer has 440 chickens on his farm. Thirty-nine of the chickens are roosters and the rest are hens. Fifteen of his hens do hot lay eggs. There are egg-laying hens on Ben's chicken farm
Answer:
386 chickens
Step-by-step explanation:
440 total chickens - 39 roosters - 15 hens that don't lay.
440-39-15 = 386 chickens
Explain what opposing position means.
Answer:
to fight against, counter, or resist strongly. to be hostile or antagonistic to; be against. to place or set in opposition; contrast or counterbalance. to place opposite or facing. to be or act in opposition
Answer:
Opposition (noun) The apparent relative of 2 celestial bodies when one is at angle of 180 degrees from the other as seen from the earth
Use the Distributive Property to solve the equation.
4x - 2(x - 3) = -4 + 5x - 5
show work
Answer:
x = 5
Step-by-step explanation:
1. Distributive Property
(Do what's in the parenthesis first)
4x - 2x + 6 = -4 + 5x - 5
2. Combine Like Terms
2x + 6 = -9 + 5x
3. Take away 6 on both sides
2x + 6 - 6 = -9 - 6 +5x
It will give u.....
2x = -15 + 5x
4. Subtract 5x on both sides
2x - 5x = -15
It will give u.....
-3x = -15
5. Divide by -3 on both sides to isolate the variable
-3x / 3 = -15/-3
Now you get....
x = 5
2 negatives make a positive
Thats ur answer
Hope this helped!
how to tell if a complex solution is real or imaginary?
Answer:
The expression b2 − 4ac is called the discriminant, and can be used to determine whether the solutions are real, repeated, or complex: 1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s).
Answer:
If a parabola has a descrimant is less than zero its solution is imaginary, if it is equal to 0 it has one solution and if it is greater than 0 it has 2 solutions. The discramanant can be written as b^2 - 4ac and it is the area under the square root in the quadratic equation.
Step-by-step explanation:
Is 15*1/x-3x a linear or a non linear
Answer:
A linear
Step-by-step explanation:
What are the factors of 26 (3 – c)?
26
b, C
2, b, (3 - c)
(3 – c)
Answer:
We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
No, I'm never gonna give you up
No, I'm never gonna let you down
No, I'll never run around and hurt you
Never, ever desert you
We've known each other for so long
Your heart's been aching but
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
No, I'm never gonna give you up
No, I'm never gonna let you down
No, I'll never run around and hurt you
I'll never, ever desert you
Step-by-step explanation:
Triangle 1 is a scale drawing of Triangle 2, as shown below.
Based on the information shown in these triangles, what is the length of the side x?
7
6 / 4 = 1.5 so that means 6 / 1.5 = 4
now that we have that, 10.5 / 1.5 = 7
Answer:
its 7.
Step-by-step explanation:
A triangle has sides with lengths of 8 millimeters, 11 millimeters, and 14 millimeters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
Answer:
No it is not a right angle
What is the slope of the line?
no slope
1
0
-2
Answer:
0
Step-by-step explanation:
HELP PLZzzzzzzzzzzzzzz!
Answer:
D (x,y) ---> (x + 1, y - 6)
Step-by-step explanation:
The triangle in blue moves 1 unit to the right, and 6 units down.
7.Rob ran miles from his house to the park. He ran miles on the park trail, and then ran back home. How many miles did he run in all?
Answer:
okokokokokokokokokopop
if the edge of a cube is 1 cm then which of the following is its volume
A. 6m3
B. 3m3
C. 1m3
D. 4m3
last number are the power
What are the
relationships among angles that are created
when a line intersects two parallel lines?
Answer:
angles
Step-by-step explanation:
trust me
The relationship between the angles created by the intersection of 2 parallel lines are solved
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the first line be represented as m
Let the second line be represented as n
Now , the lines m and n are parallel lines
And , let the transversal line be t , which intersects m and n
So , Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Hence , the angles formed are solved
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The batter is on home plate, a pitch was tossed. The batter is 6 foot tall, he hits the ball 4ft above the ground. The ball lands 450 feet away from the batter. The max. height that the ball traveled was 100 feet, the max height occurred half of the distance between home plate and where the ball landed.
Answer:
45 feet
Step-by-step explanation:
Find the distance between each pair of points in the coordinate plane.
1. (0, 0) and (0, 3)
2. (0, 0) and (4, 0)
3. (0, 0) and (4, 3)
4. (0, 0) and (8, 6)
Answer:
1) 3 units
2)4 units
3) 5 units
4)10 units
Step-by-step explanation:
We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is
★ Distance = √[ (x2 - x1)² + (y2 - y1)²]
1) (0,0) & (0,3)
⇒ Distance = √ [ (3-0)²+(0-0)² ]
⇒ Distance = √ [ 3² ]
⇒ Distance = 3 units .
====================================
2) (0,0) & (4,0)
⇒ Distance = √ [ (4-0)²+(0-0)² ]
⇒ Distance = √ [ 4² ]
⇒ Distance = 4 units .
====================================
3) (0,0) & (4,3)
⇒ Distance = √ [ (3-0)²+(4-0)² ]
⇒ Distance = √ [ 3²+ 4² ]
⇒ Distance = √ 9 + 16
⇒ Distance = √25
⇒ Distance = 5 units .
====================================
4) (0,0) & (8,6)
⇒ Distance = √ [ (8-0)²+(6-0)² ]
⇒ Distance = √ [ 8²+ 6² ]
⇒ Distance = √ 64 + 36
⇒ Distance = √100
⇒ Distance = 10 units .
The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the time (t) in minutes. How many minutes does it take the snail to get 9 inches from the rock?
Is the function y = 6x - 10
linear
Or
nonlinear
Answer:
Linear
Step-by-step explanation:
5% times what equals 6.5
Answer:
0.325
5% = 0.05
6.5*0.05
0.5*0.05=0.025
6*0.05=0.3
0.3+0.025=0.325
Expand and simplify 2x(x-5)
Answer :
= 2x² − 10x
Step-by-step explanation:
= 2x(x − 5)
= (2x)(x + −5)
= (2x)(x) + (2x)(−5)
= 2x² − 10x
The domain ofy = x-5 – 1 is
Answer:
6 i believe
Step-by-step explanation:
delete my question if im wrong:)
answer:
x > = 5
step-by-step explanation:
next couple questions :)
the range is - y > = -1
the graph of y = √x-5 -1 is graph d
Find the area of the parallelogſam with the following dimensions. base = 6mm height = 4mm
On a test with 40 questions, Sarah answered answered 38 correctly. Which proportion can be used to find the percent of question that Sarah answered
correctly?
Answer: Sarah got 95 percent on her test
Step-by-step explanation:
-9 Divided by -3+4:-1/4-20 divied 5=
i think the answer is -19.25
WILL GIVE BRAINLIEST PLZ HELP
Is the second picture right? (the new line is the blue one)
AnsweIt should be right
Step-by-step explanation:
help me with hanger math...
Based on a recent poll, there is a 50-50 chance that a randomly selected adult has pierced ears. Express the indicated degree of likelihood as a probability value between 0 and 1. Group of answer choices
Answer:
50/100 or 1/2
Explanation:
A 50-50 chance that a randomly selected adult has pierced ears means there's is a 50 percent probability of randomly selecting an adult that has pierced ears. In other words, there is half chance of selecting such an adult. A zero or one probability means there is either no possibility of selecting an adult with pierced ears or it is sure that a random adult would have pierced ears
What one do I graph
Answer:
-2 goes on bottom line on -2 and -6 goes on left side on -6
Step-by-step explanation:
Justin drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate, how far did he go?
Answer:
Justin drove 90 miles in 3 hours.
Step-by-step explanation:
Given that:
Justin drives 7.5 miles in 15 minutes.
Speed of Justin = [tex]\frac{7.5}{15}[/tex]
Speed of Justin = 0.5 miles per minute
For speed in hours, we will multiply by 60
Speed of Justin = 0.5 * 60 = 30 miles per hour
Distance covered in 3 hours = 30 * 3 = 90 miles
Hence,
Justin drove 90 miles in 3 hours.
The total distance covered by Justin at the same rate is equal to 90 miles.
Given the following data:
Distance A = 7.5 milesTime A = 15 minutesTotal time = 3 hoursConversion:
1 hour = 60 minutes
3 hours = 180 minutes
To determine the total distance covered by Justin at the same rate:
First of all, we would calculate the rate of Justin's speed as follows:
[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]
Speed = 0.5 miles per min.
For the total distance:
[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]
Total distance = 90 miles.
Read more: https://brainly.com/question/10545161
