Answer: (2,2)
so Using the distance formula,
d = sqrt(x2-x1)^2 +(y2-y1)^2 .
Substituting the values of x and y.
we get,
d = sqrt(-4-8)^2 +(-3-7)^2
d = 2 sqrt 61
diameter = 2*radius
= 2 sqrt 61
= 2 r
= r
= sqrt 61
r^2 = 61
midpoint of the diameter is:
Xm= 8-4 / 2
= 2
Ym = 7-3 / 2
= 2
Hence,
The center is (2,2)
John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?
Answer:
John had $2088 originally in his savings accounts.
Step-by-step explanation:
Let John had $x originally in his saving account
He spent $198 on a radio. The remaining money = x - $198
4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)
= (1 - 4/12) of (x-198)
= 2/3 of (x-198)
John then put 2/9 if his remaining money into a checking account.
Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)
= (1 - 2/9) * 2/3*(x-198)
= 7/9 * 2/3*(x-198)
= 14/27(x-198)
Money left with him = $980
14/27(x-198) = $980
x - 198 = $980 * 27 / 14
x - 198 = 1890
x = 1890 + 198
x = 2088
Hence, John had $2088 originally in his savings accounts.
The solutions to the equation 2x2+x-1=2 are x=-3/2 or x=_
Answer:
the solutions are {1, -3/2}
Step-by-step explanation:
The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.
We are told that -3/2 is a solution and must find the other solution To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:
-3/2 / 2 1 -3
-3 3
-------------------------
2 -2 0
Since the remainder is 0, we have verified that -3/2 is a solution. The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1). Setting this result equal to zero yields x = 1.
Thus the solutions are {1, -3/2}.
Answer:
1
Step-by-step explanation:
Took the Test edge 2021
The value of A is . The value of B is .
Answer:
The value of A is 10.0 inches The value of B is 35 inches
Step-by-step explanation:
Write the fraction 16/40 in simplest form. If the fraction is in simplest form
To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .
= 16/40
= 16 ÷ 4 / 40 ÷ 4
= 4/10
= 4 ÷ 2 / 10 ÷ 2
= 2/5
Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .
Therefore , the fraction 16/40 = 2/5
The sum of two numbers is 72. One number is 8
more than the other. Find the numbers.
Can someone help me?
Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
simplify: -(7z-12b+4c)
Answer:
-7z+12b-4c or 12b-4c-7c
Solve for x
4.
7
1
5X-20
X +
4X= -90
X=
(Type an integer or a simplified fraction.) PLEASE HELP!!
Answer: 100
Step-by-step explanation:
Either manually separate X
Or use ur calculator
Need help for math! Open the picture above number 7 thank you
Answer:
1975....?
Step-by-step explanation:
3.860x10^3 - 1.885x10^3
Find the distance between the points (7,4) and (3,7)
Answer:
3/4
Step-by-step explanation:
The distance between the two points is five.
[tex]d=\sqrt{((x2-x1)^2+(y2-y1)^2)} \\\\(x2-x1) = (3 - 7) = -4\\\\(y2-y1) = (7 - 4) = 3\\\\(-4)^2 + (3)^2 = 16 + 9 = 25\\\\\sqrt{25} =5[/tex]
Express the number 5.2 x 10^6 in standard form
Answer:
5 and 2 tenths times 60
Step-by-step explanation:
Find the measures of angles A, B, C, D, E, F, G.
Answer:
A= 48°
B= 60°
C= 72°
D= 20°
E= 20°
F= 160°
G= 160°
Step-by-step explanation:
A= 180° -90° -42° (∠ sum of △)
A= 48°
D= 180° -42° -28° -90° (∠ sum of △)
D= 20°
E= D (vert. opp. ∠s)
E= 20°
G= 180° -D (adj. ∠s on a str. line)
G= 180° -20°
G= 160°
F= G (vert. opp. ∠s)
F= 160°
C= 180° -88° -D (∠ sum of △)
C= 180° -88° -20°
C= 72°
A +B +C= 180° (adj. ∠s on a str. line)
48° +B +72°= 180°
B +120°= 180°
B= 180° -120°
B= 60°
☆The sum of angles on a straight line is 180°
☆ The sum of angles in a triangle is 180°
4x – x + 8 ≤ 35
What’s the answer
Answer:
x ≤ 9
Step-by-step explanation:
4x – x + 8 ≤ 35
3x + 8 ≤ 35
3x ≤ 27
x ≤ 9
PLZ HELP! DUE IN 10 MINUTES!! I just need the second box! I believe the first one is correct also...
Answer:
ASA congreunce
Step-by-step explanation:
Angle A and Angle B are supplementary. If Angle A has a measure of 100 degrees and Angle B has a measure of 7x, what is the value of x?
Answer:
x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).
NEED HELP ASAP PLEASE WILL GIVE BRAINLY IF CORRECT
Answer: 2x-9y=1
Step-by-step explanation:
(this is how i found it don't know if this is how you learned it though)
Subtract 20 from both sides of -3x-8y=20, so that it becomes -3x-8y-20
Subtract 19 from both sides of -5x+y=19, so you get -5x+y-19
Subtract like terms from both equations (-3x-8y-20)-(-5x+y-19), which gives you 2x-9y-1
-3--5=2, -8-1=-9, -20--19=-1
Add 1 to both sides and you get 2x-9y=1
What Is the value of X?
Lines cut by a transversal line...
(2x–5)° + 45° = 180° (sum of consecutive interior angles
=> 2x + 40 = 180
=> 2x = 180– 40
=> x = 140 /2
=> x = 70
The required value of the x is 70 in the measures of the angle.
Given that Line m and n are parallel lines and intersect by a transversal line l.
When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.
From the sum of consecutive interior angles we have;
(2x–5)° + 45° = 180°
2x + 40 = 180
2x = 180– 40
x = 140 /2
x = 70
Learn more about lines here:
brainly.com/question/2696693
#SPJ4
A player at second base throws a ball to the catcher at home plate, but the catcher misses it. Which of the following best represents this situation?
A. ray SP
B. point S
C. segment SH
D. plane SPH
Answer:
d
Step-by-step explanation:
Nora loves to play the Bridge Builders video game, where players gain and lose points by
building safe and unsafe bridges. In Level 1, Nora earned 16 points because her bridge
passed inspection. Then, she lost 25 points because part of her bridge collapsed!
Answer: Its -9
Step-by-step explanation:
because 16 - 25 = -9
What is 1.425 as a fraction in simplest form?
Answer:
57/40 is the correct answer to this question
I need helpppppp!!!!
Answer: I believe yes
Step-by-step explanation:
Im sorry if this isn’t right but I believe it is
Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sells. At his current job, he receives $1200 per month plus a commission of 1.5% of his total sales. How much must he sell per month to make the new job a better deal than his current job? Define variables, write a system of equations, and solve.
Answer:
Levi must sell more than 80000 cars per month for the new job to be better than the current job.
Step-by-step explanation:
New Job;
He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.
Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.
Thus;
y = 800 + 0.02x - - - -(eq1)
Current Job:
He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.
Thus;
y = 1200 + 0.015x - - - (eq2)
Substituting 800 + 0.02x for y into eq(2) gives;
800 + 0.02x = 1200 + 0.015x
0.02x - 0.015x = 1200 - 800
0.005x = 400
x = 400/0.005
x = 80000
This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.
Triangle PQR has vertices , , and . It is translated according to the rule
-10 is the correct answer.
Answer:
D. -10
I have to make this more the 20 characters...
Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius.
Answer:
112 ≤ T ≤ 158
Step-by-step explanation:
We need to convert the celsius temperature to Fahrenheit first.
The formula to use is
F = (C * 9/5) + 32
For 50 degrees Celsius
F = (50 * 9/5) + 32
= 90 + 32 = 112 F
For 70 degrees Celsius
F = (70 * 9/5) + 32
= 158 F
So the compound inequality is written as follows;
112 ≤ T ≤ 158
6x+3y=12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!! O///O
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Equation: y-intercept of 12, 5x – 4y = 1
Answer:
m=5/4
Step-by-step explanation:
i dont know how to do this i just used a website just copy your question into google search bar and look it up.
WILL GIVE BRAINLIEST IF FAST AND RIGHT
In a box there are apples, bananas, and oranges.
There are 29 total pieces of fruit.
There are twice as many apples as oranges.
There are 3 more oranges than bananas.
How many oranges are in the box?
Answer:
8
Step-by-step explanation:
apples are 2 x
bananas are x -3
Oranges are x
Total number of Fruits = 2 x + x + x -3 =29
3x+x = 29 +3
4x =32
x = 32/4
=8 Oranges
Ms. Jones had $40 to purchase groceries. She bought 4 packs of rice and 3 boxes of granola bars. The packs of rice cost $1.09 each, and the boxes of granola bars cost $4.29 each. How much money did Ms. Jones have left after these purchases?
answer choices
$8.51
$17.23
$22.77
Answer:
so to know full price of granola bars and rice packs; you would multiply 1.09 × 4 for the rice which you get 4.36 then for granola bars you do 4.29 × 3 and you get 12.87 then you add 12.87 + 4.36 = 17.23 then you subtract this from the $$ Mr.Jones has which is 40 so its 40-17.23 and you get 22.77
How much fencing is required to enclose a circular garden whose radius is 14 m?
Answer:
87.96m of fencing
Step-by-step explanation:
11. D(-2, 3), E(5, 5), F(-4, 10)
Find the measures of the sides of DEF,then classify it by its sides
Answer:
Step-by-step explanation:
Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:
D = √(y2-y1)²+(x2-x1)²
For DE;
D(-2, 3), E(5, 5),
DE = √(5-3)²+(5-(-2))²
DE = √2)²+7²
DE = √4+49
DE = √53
For DF;
D(-2, 3), F(-4, 10)
DF = √(10-3)²+(-4-(-2))²
DF = √7²+(-2)²
DF = √49+4
DF = √53
For EF;
E(5, 5) F(-4, 10)
EF = √(10-5)²+(-4-5)²
EF = √5²+(-9)²
EF = √25+81
EF = √106
Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides and angle equal
The roots of x² - 4x = 5, in ascending order, are what?? PLEASE HELP
Answer:
Step-by-step explanation:
x^2 - 4x - 5 = 0
(x - 5)(x + 1) = 0
x - 5 = 0
x = 5
x + 1 = 0
x = -1
We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.
For an equation like a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Using that formula we will get that the solutions in ascending order are -1 and 5.
Now let's see how to get that:
We have expression: x^2 - 4x = 5
We can rewrite this as:
x^2 - 4x - 5 = 0
Now we can use the Bhaskara's formula to get:
[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]
Then the two solutions are:
x = (4 + 6)/2 = 5
x = (4 - 6)/2 = -1
Then the solutions in ascending order are -1 and 5.
If you want to learn more, you can read:
https://brainly.com/question/23033812