Answer:
a. x=0
b x=-8
c x=49/2
Step-by-step explanation:
a. x2+4=4
subtract 4 from both sides
x2=0
multiply
2x=0
divide by 2
x=0
b x2 + 16 = 0
multiply
2x+16=0
subtract both sides by 16
2x=-16
divide by 2
x=-8
c x2 − 49 = 0
multiply
2x-49=0
add 49 to both sides
2x=49
divide both sides by 2
x=49/2
Answer:
a. X= 0
b. X= undefined or X=4i
c. X= + or - 7
Step-by-step explanation:
a. x² + 4 = 4
when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.
then x² = 0 , where √x²=√0 , finally x=0
b. x² + 16 = 0
16 goes to other side by negative sign too
x² = -16 , where √x²=√-16 , finally x= undefined
due to the negative sign under thr square root.
at √-1 = i then x can be 4i
c. x² - 49 = 0
-49 go to the other side by positive sign
x² = 49 , where √x² = √49 , finally x= + or - 7
where negative sign is neglected at even power
example:
(-7)²=(7)²
In the equation y=3x-4 , the y-intercept is -4
Answer:
R we suppose to graph?
Step-by-step explanation:
If it’s that u want to ask if ur correct sure the y-intercept is -4
what is the slope of the line passes through the points (-3, -3) and (-5, -2) in simplest form help me
Answer:
Slope, [tex]m=\dfrac{-1}{2}[/tex]
Step-by-step explanation:
We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).
The formula for the slope of a line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2
So,
[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]
So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].
All of the points in the graph are on the same line.
Find the slope of the line.
Answer:
The slope of the line is [tex] \frac{1}{2} [/tex].
-
Step-by-step explanation:
☆Remember:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Just plug it in with 2 sets of coordinate points.
[tex]m = \frac{7 - 3}{9 - 1} = \frac{4}{8} = \frac{1}{2} [/tex]
6
What will be the new position of the given point after
translation of 3 units down and 3 units left?
b)
d)
Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?
Answer:
17 students
Step-by-step explanation:
If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
rationalize root 3+root 5
Answer:
- 2
Step-by-step explanation:
To rationalise multiply by its conjugate.
The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then
([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL
= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²
= 3 - 5
= - 2
Owen is planning surgery to repair the torn ligament in his knee. The total cost of the surgery is expected to be about $7,000. Owen has a $1,000 deductible and then a 20 per- cent co-pay for this procedure. How much will Owen pay for his part of the surgery?
Answer:
$2200
Step-by-step explanation:
Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.
Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have
20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.
Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery
Help plz
(1,-4)
(4,1))
(-1,-4)
(1,4)
Answer:
(1, -4)
Step-by-step explanation:
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 2, and the point B is on ordered pair negative 3, 2. A straight line joins the points A and B. If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? C(−3, −2), D(1, −2) C(−3, −1), D(1, −1) C(−3, −4), D(1, −4) C(−3, −5), D(1, −5)
Answer:
Would be the answer D(1, −4)
Step-by-step explanation:
Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!
work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
please answer quick
i will mark you brainiest
gradient is 2
Step-by-step explanation:
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Ramon walks at a constant rate of 6mi/hr. Write an equation using the variables m and h to represent how many miles he would walk in any given hour.
Answer:
Key for H and M. ( H-Hour)(M-Mile)
6m= h divided by 10=6
Step-by-step explanation:
6 times 10= 60 minutes. So 1 mile every 10 minutes. This was hard, but it clicked at the end. Good luck, and remember to sub out the divided and multiply by with the signs!
Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were sold for $ 1237.50. Wrote a system of linear equations for the problem
Answer:
3.5x + 2.50y = 1237.50
425 = x + y
Step-by-step explanation:
number of adult tickets: x
number of student tickets: y
3.5x + 2.50y = 1237.50
( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)
425 = x + y
(number of adult tickets [x]) + (number of student tickets [y]) = total (425)
What is the solution 3x+9=2x+5 Solving equations with special cases
Answer:
I believe the answer is 5x = 14
Rachel needs to write 3 book reports with b pages
and 3 science reports with s pages during the
school year. Write an algebraic expression for the
total number of pages Rachel will need to write.
Answer:
90% of people marry their 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
equation for horizontal line at 0,-7
Complete the square and write the quadratic equation in vertex form please show steps
Answer:
Square: [tex](x-10)^{2} -68[/tex]
Vertex: (10,-68)
Step-by-step explanation:
Which value of x makes the equation 0.1x - 2.5 = 1.0 true
A 10
B 15
C 20
D 35
Answer:
D 35
Step-by-step explanation:
When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1
Answer:
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Step-by-step explanation:
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(PLEASE HELP) Chloe has 40 lollipops of these lollipops 15 of them are blue and the rest are red what is the ratio of the number of blue lollipops to the number of red lollipops
Answer:
25:15
Step-by-step explanation:
red:blue
Answer:
15:25
Step-by-step explanation:
4(5x-3)=20x-3 I just need the solution
Step-by-step explanation:
Don't try to be oversmart The equation is invalid
Mrs. Pints wrote the volume formula as
“V=Bh”. What does ”B“ represents
Answer B stands For Base and h stands for Height
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
a
Step-by-step explanation:
what has the greatest value 3/10 or 1/2 or 2/5
Answer:
1/2, 2/5, 3/10 is the order
Step-by-step explanation:
create common denominators then you can tell by the numerator.
3/10=3/10
1/2=5/10
2/5=4/10
Please hellllpppp meeeee
Answer:
23.49
Step-by-step explanation:
107.04-83.55= 23.49
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Answer:
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Compute (4803) • 95. *
Answer:
456,285
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Which term could be put in the blank to create a fully simplified polynomial written in standard form?
8x3y2−_____+3xy2−4y3
x2y2
x3y3
7xy2
7x0y3
Answer:
x^2 y^2
Step-by-step explanation:
i took the test
always read the comments
Answer: a. x2y2
Step-by-step explanation:
What is the number of terms in this expression?
M/5 + 4 x 6
Answer:
Step-by-step explanation:
Terms are separated by addition and subtraction therefore two terms
Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer.
Answer:
x=3 y=4
Step-by-step explanation:
-3x + 5y = 11
+ 3x + y = 13
Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:
6y = 24
Divide both sides by 6 to isolate the variable.
y=4.
Then just substitute the variable into any of the equations above. (I chose the equation on top)
-3x + 5(4) = 11
Then solve
-3x + 20 = 11 (then subtract 20 from both sides)
-3x = -9 (then divide both sides by -3)
x=3
A cone has volume 12pie cubic inches. Its height is 4 inches. What is its radius?
A.) 6 inches
B.) 4 inches
C.) 12 inches
D.) 3 inches
Answer:
r = 3
Step-by-step explanation:
The formula of a volume of a cone
V= 1/3 pie r^2 H
r - radius
H - height
We have V = 12π in³ and H = 4 in. Substitute:
The radius of the cone is 3 inches
Volume of a conev = 1 / 3 πr²hwhere
h = height
r = radius
Therefore,
v = 12π
h = 4
12π = 1 / 3 × π × r² × 4
12 = 4 /3 r²
36 = 4r²
r² = 36 / 4
r = √9
r = 3 inches
learn more on cone here:https://brainly.com/question/9837241