Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(0,2\right)[/tex]
Therefore, the intersection of the diagonals of square ABCD is (0,2).
Paul withdrew $17.25 from his savings account every week for 3 weeks. Which equation is the best choice to help him determine the total amount of money he withdrew?
Answer: (3)(−17.25) = −51.75; he withdrew $51.75
Step-by-step explanation:
hope it helped xx
Wyatt is saving up to buy a new bicycle. He already has $60 and can save an
additional $6 per week using money from his after school job. How much total money
would Wyatt have after 6 weeks of saving? Also, write an expression that represents
the amount of money Wyatt would have saved in w weeks.
Answer:
Expression: 6w+$60 Money: $99
Step-by-step explanation:
So, let's find the ammount for 6 weeks
We know he can make $6 per week, so we ned to multiply 6*$6 to get your answer
So, 6 ( weeks ) * 6 ( dollars) = $36 for 6 weeks
Then, we ned to add the $60 he already has saved up, so $60+$39=$99
For the equation, We know that we need to multioply the number of weeks by 6, as shown by how we solved the last problem
So, 6*w=6w
Then we need to add $60
So, we get 6w+$60 for the expression
Answer:
96
Step-by-step explanation:
George lost 12 1/4 kilograms on his diet. How
many grams did he lose?
Answer: 12250 Grams
Step-by-step explanation:
1 Kilogram = 1000 grams.
12 Kilograms x 1000 Grams = 12000 Grams.
1/4 = 0.25
0.25 Kilograms x 100 Grams = 250 Grams
12000 + 250 = 12250.
Answer: 12250 Grams.
I need this ASAP but it’s ok if you see it late
Answer:
72 square units
Step-by-step explanation:
move above the dotted line to make a rectangel then the numbers are 6 and 12 then times them to get 72
Convert the temperature equivalent to 30 degrees Celsius to degrees Fahrenheit, using the formula F = 1.8C + 32 *
Answer:
86°F
Step-by-step explanation:
Plug in 30 as C in the formula:
F = 1.8C + 32
F = 1.8(30) + 32
F = 54 + 32
F = 86
So, the answer is 86°F
whats yall fav candy!
Answer:
Twix and Milky Way!
Step-by-step explanation:
Answer:
whats yall fav candy!
jelly (^__^)
Which three lengths could be the lengths of the sides of a triangle?
a. 11cm, 11 cm, 24 cm
b. 18 cm, 12 cm, 9 cm
c. 9 cm, 19 cm, 10 cm
d. 4 cm, 7 cm, 23 cm
Step-by-step explanation:
If it is an isosceles triangle, Option A is most suitable.
But if it's a scalene triangle, Option B,C and D would suffice.
In equation form. What goes through the points (0, 4) and (2, 7)?
Answer:y=1.5x+4
Step-by-step explanation:
Find the equation for the circle with center (3,−5) and diameter of length 8.
Answer:
(x-3)² + (y+5)² = 16
Step-by-step explanation:
Radius will be half of diameter means that radius = r = 8/2 = 4.
With Center (h,k) the equation of circle is
(x-h)² + (y-k)² = r²
so by putting values answer will be
(x-3)² + (y+5)² = 4²
(x-3)² + (y+5)² = 16
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
__ + 15 - 15 = 21
what is the blank number
Answer:
Step-by-step explanation:
21 is the blank number as +15 and -15 cancels out
Answer:
the answer is 21
Step-by-step explanation:
law of cosines
please show your work :)
Will mark as brainlest
Answer:
33.9
Step-by-step explanation:
cos rule:
a²=b²+c²-2xaxbxcosA
rearrange:
cosA=(b²+c²-a²)÷(2xaxb)
solve:
cosx=(8²+22²-16²)÷(2x8x22)
cosx=(64+484-256)÷352
cosx=292÷352
cosx=0.830
cos^-1(shift cos)=33.9
Can someone please help me ill give you a crown PLEASE HELP
10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.
Answer:
the two numbers are 12 and -1.
Step-by-step explanation:
Let the large number be represented by x and the smaller number by y.
So that;
x = 8y + 20 .................. 1
x + y = 11 ................... 2
From equation 2,
x = 11 - y .......... 3
Substitute equation 3 into equation 1 to have,
11 - y = 8y + 20
11 - 20 = 8y + y
-9 = 9y
divide through by 9 to have,
y = -1
Substitute the value of y in equation 3,
x = 11 - (-1)
= 11 + 1
= 12
x = 12
x = 12, y = -1
The two numbers are 12 and -1.
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
If 0 and 3 is equal to y = 30
what is 3 and 5.5 equal to
Answer:
8.5
Step-by-step explanation:
4y-1=2(y-2)
Solve for y
Answer:
y= -3/2
Step-by-step explanation:
Which is the best estimate of 162% of 79? O 112 O 119 O 128 O 136
Answer:
128
Step-by-step explanation:
You would multiply 79 by 1.62 to get the answer.
This would give you 127.98 which you would round up to 128.
Answer:
128
Step-by-step explanation:
if h(x)= 1-7x find the value of h(-7)
There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?
Answer:
400!
Step-by-step explanation:
150/3= 50
50*8=400
Answer:
XD lol
Step-by-step explanation:
Are the lines y=4 and x=-3 perpendicular
Answer:
Yes, because y=5 will intersect the y axix (giving a horizontal line) and x =-3 will intersect the x axis (giving a vertical line). They will intersect at angle 90.
Step-by-step explanation:
Please gimme brainliest
Answer:
Yes
Step-by-step explanation:
When you graph y=4 it is a horizontial line going straight forever. You would mark a dot on postive four on the y-axis. For x, do the same thing mark on the negative three on the x-axis. But this one will be vertical.
REMEMBER-
Although the x-axis is horizontial when there is no Y (x,y) it will be vertical. And it is opposite for the Y.
i giveee brainlilsttt
Answer:
-5,1
Step-by-step explanation:
hope that helps
:))))))
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
7 = -10s - 3
what is s?
Answer:
s=-1
Step-by-step explanation:
10=-10s
-1=s
Answer: s = -1
Step-by-step explanation:
7 = -10s - 3 Add three to both sides
10 = -10s. Divide -10 by 10
s = -1
What is the common ratio of the sequence?
-2, 6, -18, 54....
-3
-2
3
8
Answer:
-6/-2=-18/-6=54/-18
=3
Step-by-step explanation: -3 is the correct answer. -2x-3=6, 6x-3=-18,
-18x-3=54
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Which fractions is greater than 1/2?
2/3
3/4
2/6
1/3
3/8
5/8
1/4
5/6
Answer: 2/3, 3/4, 5/8, 5/6
Step-by-step explanation:
First,
We must turn all of them into denominators that can be divided by 1/2.
2/3 = 4/6. 3 1/3 = 2/6
Now we see which is greater.
2/3 > 1/2.
3/4 > 1/2.
2/6 < 1/2.
1/3 < 1/2.
3/8 < 1/2.
5/8 > 1/2.
1/4 < 1/2.
5/6 > 1/2.
So the answers are 2/3, 3/4, 5/8, 5/6.
I need help with number 19 please help me
Answer:
x=3
Step-by-step explanation:
-3x= -9
x= -9/-3
x=3
bring the -3 to right side and than divide
Determine whether the following number sentences are TRUE or FALSE.
Justify your answer.
Part B 1/2-5/8-7/9=7/9-5/8-1/2
Answer:
False
Step-by-step explanation:
1/2 - 5/8 - 7/9 = 7/9 - 5/8 - 1/2
Add 5/8 to both sides.
1/2 - 7/9 = 7/9 - 1/2
Factor -1 out of the right side.
1/2 - 7/9 = -1(-7/9 + 1/2)
1/2 - 7/9 = -1(1/2 - 7/9)
1/2 - 7/9 and 7/9 - 1/2 are opposites. Opposites are not equal unless they are both zero.
Answer: False
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:
3 hours 6 minutes?
Answer:
He will bike 26.87 miles.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
Speed =
Time = 3 hours and 6 minutes
=
As, 60 minutes = 1 hour.
=
