Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
Point A is at (3, -8) and point B is at (7, 3). What is the midpoint of line segment AB?
Answer:
[tex](5, -5/2)[/tex]
Step-by-step explanation:
The midpoint of any line segment is the average of the x- and y-values of the two endpoints.
Therefore, the midpoint of [tex]AB[/tex] is [tex]((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)[/tex].
So, the answer is [tex]\boxed{(5, -5/2)}[/tex] and we're done!
3. In a figure a small square is cutting out from the largesquare. The area of the remaining part is 91 cm². The sum of Sides equal to 52cm.
(a). If the side of large square is x and the side of smallest square is y then find the area of the remaining part?
(b). Find the sides of the smallest square?
(c). Find the areas of the two squares?
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
ABCD is a square of side x cmEFGH is a square of side y cmFurther given that,
Sum of all sides = 52 cmIt means
Perimeter of square ABCD + Perimeter of square EFGH is 52 cmWe know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]
So, using this, we have
[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]
[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]
[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]
Now, Further given that,
If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.
It means
[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]
can be further rewritten as using algebraic Identity,
[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]
[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]
[tex]\red{ \bigg\{ \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]
[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]
On adding equation (1) and (2), we get
[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]
[tex]\rm :\longmapsto\:2x = 20[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]
On substituting the value of x in equation (1), we have
[tex]\rm :\longmapsto\:10 + y = 13[/tex]
[tex]\rm :\longmapsto\:y = 13 - 10[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]
So,
[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]
and
[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]
Also,
[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]
[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]
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[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]
Karla is going to the store. She bought a banana for $0.67, a jar of peanut butter for $2.35 and a bottle of water for $1.50. If she paid with a $5 dollar bill, how much change will she get back? (Do not use $ in your answer)
Answer:
48 cents
Step-by-step explanation:
PLEASE HELP ME PLWASE MY LAST ATTEMPT PLEASE HELP ME!!!!!!!
9514 1404 393
Answer:
y = -3/4(x -2)
Step-by-step explanation:
You are given point (2, 0) on the new pipeline. To find the equation of it, you need to know the slope of the line on the graph. A careful look at the graph shows you the line goes through grid points that are separated by 4 units horizontally, and 3 units vertically. For a positive horizontal change, the vertical change is negative, so the slope is ...
m = rise/run = -3/4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -3/4 and (h, k) = (2, 0), the equation is ...
y = -3/4(x -2)
_____
Additional comments
If you use the distributive property to eliminate parentheses, the equation becomes ...
y = -3/4x +3/2
The slope of the red pipeline can also be determined by considering the slope of the blue pipeline. The two marked points on that line have a horizontal separation of 3 and a vertical separation of 4. Its slope is ...
m = rise/run = 4/3
The slope of the perpendicular (red) line is the opposite reciprocal of this:
-1/m = -1/(4/3) = -3/4 . . . . as we determined from the red line's graph
PLEASE HELPPPPP MEEE
Answer:
-1 3/ 4
Step-by-step explanation:
I wrote an equation to show that two amounts were equal.
Answer:
what equation?
Step-by-step explanation:
Raquel estimated 304,900,000,000 as 3 × 10^8. What error did she make?
The error that was made by Raquel when expressing [tex]304,900,000,000[/tex]
is that she didn't count the digit correctly, The correct digit is [tex]3 *10^{11}[/tex]
Raquel was trying to express the figure in standard form but she doesn't count the number of digit very well and that was her mistakeStandard form helps to represent digits that are very long or short in simple form and fir conveniency sakeTherefore, the correct expression in standard form is [tex]3 * 10^{11}[/tex]
Learn more at: https://brainly.com/question/9761475?referrer=searchResults
Marcos tem 44 carrinhos em sua coleção e comprou mais 13. Com quantos carrinhos Marcos ficará?
Answer:
Marcos ficará com 57 carros.
Step-by-step explanation:
44+13=57
Aliás, 57 carros é muito carro!
solve. 2x−4+2x=−6x−2
Answer:
x = 1/5
Step-by-step explanation:
2x − 4 + 2x = −6x −2
Combine the like terms (2x)
Result:
4 − 4 = − 6 − 2
Add 4 to both sides:
4 − 4 + 4 = − 6 − 2 + 4
Result:
4 = − 6 + 2
Add 6x to both sides.
4 + 6 = − 6 + 2 + 6
Result:
1 0 = 2
Divide both sides by 10:
1 0 / 1 0 = 2/ 1 0
Result:
x = 1/5
Therefore, x = 1/5 would be your answer.
-kiniwih246
Can anyone help with this algebra graphing problem???
There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?
Answer:
24.73
Step-by-step explanation:
h=63.4+2.41f
h=123
123=63.4+2.41f
59.6=2.41f
24.73=f
If the value of h is 123. Then the length of the femur will be 24.73 centimeters.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
h = 63.4 + 2.41 f
Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.
If the value of h is 123. Then the f-value is given as,
123 = 63.4 + 2.41 f
2.41 f = 59.60
f = 24.73 cm
Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
What is the solution to the equation −p−13=−43p+23(5p−6)?
Answer:
p = 125/73
Step-by-step explanation:
−p − 13 = −43p + 23 (5p − 6)
−p − 13 = −43p + 115p − 138
−p − 13 = 72p − 138
+p +p
-----------------------------
-13 = 73p - 138
+138 +138
-----------------------------
125 = 73p
/73 /73
-----------------------------
125/73 = p
If you need the answer in mixed fraction, then it's --> p = 1 52/73
The solution to the given equation is p = - 1.71
To determine the solution of the given equation,
We will find the value of the variable, p, that satisfies the equation.
From the question, the given equation is
[tex]-p-13 = -43p+23(5p-6)[/tex]
To solve this,
First, Clear the brackets
[tex]-p-13 = -43p + 115p - 138[/tex]
Now, Collect like terms
[tex]-p +43p -115p = -138 + 13[/tex]
[tex]73p = -125[/tex]
Now, divide both sides of the equation by 73
[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]
∴ p = - 1.71
Hence, the solution to the given equation is p = - 1.71
Learn more here: https://brainly.com/question/9956738
Did I do this right?
The model shows the addition expression 18 + 12.
(A model containing 3 rows of 6 orange squares and 3 rows of 4 blue squares)
One expression that is equivalent to this sum is _______. 1. 3 + 6 + 4 2. 3(6 + 4) 3. 3 + 6(4) 4. 3(6) + 4
Answer:
2. 3(6+4)
Step-by-step explanation:
Jimmy spent half of his weekly allowance playing mini-golf. To earn more money his parents
let him mow the lawn for $5. What is his weekly allowance if he ended with $14?
8 b.
A boat can travel 42 miles on 7
gallons of gasoline. How far can it
travel on 2 gallons?
Answer:
12 miles
Step-by-step explanation:
42÷7=6
6×2=12
Good luck!
Answer:
12 miles on 2 gallons of gasoline
Step-by-step explanation:
First, we need to find the unit rate and that can simply be found by dividing.
So we divide 42 miles by 7 gallons which equal 6.
So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.
So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.
PLEASE HELP NOW! NO FAKE ANSWERS!!!!!!!!!!!!!!
Answer:
D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound
Step-by-step explanation:
Have a good day, keep learning
Answer:
[tex]4x + $2.00[/tex]
Step-by-step explanation:
This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00
whoever solves correctly gets brainliest The number of miles will be x. Next, we’ll have the inequality 8x+2<=10 then we will solve the inequality 8x+2-2<=10-2 and simplify 8x<=8. divide 8 both sides x<=1
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Answer:
Step-by-step explanation:
0.0091 to the thousandth
Answer:
0.009
Step-by-step explanation:
The 9 is in the thousandths place, so just round.
Answer: 0.009
Step-by-step explanation:
the third place after the decimal is the thousandths place therefore you leave the number in that position in the final answer
somebody help plz its hard for me
Answer:
I h ok honestly dont know that I'm so sorry
How much is 1 dime and two nickels
Answer:
so 10 +5+5=20
Step-by-step explanation:
so look a dime is 10 cent a nickel is 5 cent
To solve this question you have to use TAN COS SIN i give brainiest
Answer:
4.3Step-by-step explanation:
Use cosine:
cos = adjacent / hypotenusecos ∠L = KL/JLcos 21° = 4/xx = 4 / cos 21°x = 4.3 (rounded)Answer:
4.3Step-by-step explanation:
Here we will use cosine to find the value..
[tex] \cos = \frac{adjacent}{hypotenuse} [/tex][tex] \cos∠l = \frac{kl}{jl} [/tex][tex] \cos21° = \frac{4}{x} [/tex][tex]x = \frac{4}{ \cos21° } [/tex][tex]x = 4.3[/tex] When rounded off...The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is represented by x, what equation would be used to find x?
Answer:
x+(x+2)+(x+4)=63
Step-by-step explanation:
what is the intersection of planes m and L
a. point D
b. line ab
c. line ce
d. they do not intersect
Answer:
d. they do not intersect
Step-by-step explanation:
Find the value of x.
Could someone explain to me how to do this? I'd like to know before my test, please!
Find the value of x for which a || b
Answer:
Since a and b are parallel
Step-by-step explanation:
2x+27=3x - 27
collect the like terms
3x-2x=27+27
x=54
PLS MARK BRAINLIEST
Answer:
x = 54
Step-by-step explanation:
If the lines are treated as parallel , then
(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so
3x - 27 = 2x + 27 ( subtract 2x from both sides )
x - 27 = 27 ( add 27 to both sides )
x = 54
For a and b to be parallel then x = 54
A basketball player spent 6 hr
watching game films, practic-
ing free throws, and lifting
weights. He spent twice as
much time lifting weights as
practicing free throws and
2 hr longer watching game
films than practicing free
throws. How many hours did
he spend on each task?
Answer:
watching game= 3 hours
practicing free throw= 2 hours
lifting weight=1 hour
Explain how to add integers that have like signs (all + or all -).
Answer:
Step-by-step explanation:
If there is two - signs you make it a positive
Answer:
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Solve the system of equations by substitution.
x = y + 8
4x + 2y = 2
Answer:
y=-5
Step-by-step explanation:
4(y+8) + 2y=2
4y+32+2y=2
6y+32=2
6y=-30
y=-5
What is an equation of the line in slope- intercept form?
m=2 and the y intercept is (0,3)
Answer:
Y= 2x+3
Step-by-step explanation:
The Slope-Intercept formula is y=mx+b. M is the slope, b is the y intercept, x is the independent variable and y is the dependent variable. In order to write an equation for these types of problems, plug in the numbers for the variables.