Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])
Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]
(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
You want to have $10,000 in your account after five years. Find the amount your initial deposit should be if the account pays 3.5% annual interest compounded monthly.
Answer: 8396.71
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m= 7
Answer:
y=7x+22
Step-by-step explanation:
the equation of a line is y=mx+b
we know that 7 is m so
y=7x+b
but we got to find b
so we use the point (-3,1) and substitute in our equation
1=7(-3)+b
lets find b
1= -21+b
22=b
okay then we found b now lets go to our original problem and substitute b
y=7x+22
I hope this helped you :)
Help me with the area of the following triangle??? 25 POINTS question
-13/2x+1 is the answer which the area
How to find it simple:
Do 1/2*3x-4
then use that answer and multiple it with the height which is 2x+1 and you get the answer.
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The point is on the line.
The coordinate values satisfy the equation:
1/3x + y = 12
1/3(3) + 11 = 12 . . . substitute for x and y
1 + 11 = 12 . . . . . . . true
Any point that satisfies the equation is a solution. (3, 11) is a solution.
make the most childish answer possible and ill give you brainliest
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
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4 + y = 3x - 5 |
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^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
Answer:
hope it helped
have a nice day
The distance between the ground and the top of the slide is 2.4 meters.
Given:
The length of the slide is 4.1 meters.
The angle between slide and ground is 35 degrees.
To find:
The distance between the ground and the top of the slide.
Explanation:
Let [tex]x[/tex] be the distance between the ground and the top of the slide.
Using the given information draw a figure as shown below.
In the below figure,
[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]
[tex]\sin 35^\circ\times 4.1=x[/tex]
[tex]2.35166...=x[/tex]
[tex]x\approx 2.4[/tex]
Therefore, the distance between the ground and the top of the slide is 2.4 meters.
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can someone please help me??
Answer:
There is only one solution and it is the point of intersection
Step-by-step explanation:
Solve for θ. Please help me!!
We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.
[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]
[tex] = 30 \: degrees[/tex]
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
solve this system of equations by using the elimination method.
2x-3y=25
5x+3y=10
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.
Answer:
[tex]A' = (0,0)[/tex]
[tex]B'= (9,18)[/tex]
[tex]C'= (21,12)[/tex]
Step-by-step explanation:
Given
[tex]A= (0,0)[/tex]
[tex]B= (3,6)[/tex]
[tex]C= (7,4)[/tex]
[tex]k = 3[/tex] -- dilation factor
Required
Determine the coordinates of the new triangle
This is calculated using:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A *3[/tex]
[tex]A' = (0,0) *3[/tex]
[tex]A' = (0,0)[/tex]
[tex]B' = B * 3[/tex]
[tex]B'= (3,6)*3[/tex]
[tex]B'= (3*3,6*3)[/tex]
[tex]B'= (9,18)[/tex]
and
[tex]C' = C * 3[/tex]
[tex]C'= (7,4)*3[/tex]
[tex]C'= (7*3,4*3)[/tex]
[tex]C'= (21,12)[/tex]
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
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if m1=2x° and m3=3x° what is m1
Answer:
36
Step-by-step explanation:
Using the angle addition postulate
angle 1+angle 2+angle 3=180
Angle 2 is 90 degrees,
Angle 1 is 2x degrees
Angle 3 is 3x degrees
Plug this into equation
[tex]2x + 90 + 3x = 180[/tex]
[tex]5x + 90 = 180[/tex]
[tex]5x = 90[/tex]
[tex]x = 18[/tex]
Plug 18 into 2x
[tex]2(18) = 36[/tex]
what is the diagonal of a solid square. the sides are 7. please help
Answer:
9.89949 units
Step-by-step explanation:
the diagonal of a 7 by 7 square is the same as the hypotenuse of a 7 by 7 triangle. using the pythagorean theorem, you can conclude that
7²+7²=c²
49+49=c²
98=c²
√98=c
c≈9.89949 units
2.8 -3x =12.1 −6x what's x
Need help in rush...someone pls help me! And pls show work
Answer:
7.2 or 7.20 my work is explained below!
first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)
so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.
I hope this helped, have a good day / night! :)
Answer:
[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]
Step-by-step explanation:
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?
Answer:
there would be 40,960 tree frogs i think
Step-by-step explanation:
Answer:
640 tree frogs
Step-by-step explanation:
If 1 month = 4 weeks
3 months = 12 weeks (3x4)
After 2 weeks the frogs double to 20
After 4 weeks the frogs double to 40
6 weeks, it doubles to 80
8 weeks, it's 160
10 weeks it's 320
12 weeks, it's 640
What graph represents the equationy = 2x – 3?
Answer:
linear graph
Step-by-step explanation:
because the equation of the line is straight
Simplify the expression. 25(z-4)
Answer:
25z-100
Step-by-step explanation:
Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold?
Answer:
2 6/7
Step-by-step explanation:
i divided
i dont get this pls help with steps asap!
Answer:
2.5
Step-by-step explanation:
it's the midpoint of XZ
find the missing measure
Answer:
Step-by-step explanation:
Find the value of x.
Answer:
hi i dont know the ans but it have this app called photomath that will help u
A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?
Answer:$ 19.00
Step-by-step explanation:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
3.5 m = ______cm
PLEASE HELP ME!!!!!!!
Answer:
Formula *10
Step-by-step explanation:
35
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Answer:
35/9 inches
Step-by-step explanation:
you can put this in a mixed fraction, its still correct:
3 8/9
The area of the rectangle is 35/9 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the area of a rectangle,
We multiply the length by the width.
Length = 2 1/3 = 7/3 inches
Width = 1 2/3 = 5/3 inches
Area = Length x Width
Area = (7/3) x (5/3)
Area = 35/9 square inches
Therefore,
The area of the rectangle is 35/9 square inches.
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CAN SOMEONE HELP ME PLEASE!!!
Answer:
i think this is right
Step-by-step explanation:
4
Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box
Answer:
7
Step-by-step explanation:
9*9=81
81+7=88
Answer:
7
Step-by-step explanation:
88 / 9 = ?
9 x 9 = 81
88 - 81 = 7
7/9
88 / 9 = 9 7/9
9 is in the large box
7 in the small box