Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Naoko is building a small art shed in the backyard. She created a blueprint of the floor plan with a scale of 1⁄4 in. To 1 ft. According to the blueprint, the art space has dimensions of 2 1/2 in. By 1 in. What are the dimensions of her art shed in feet?
Answer: 10 feet by 4feet
Step-by-step explanation:
From the question, we are informed that Naoko is building a small art shed in the backyard and that she created a blueprint of the floor plan with a scale of 1⁄4 in. to 1 ft. This means that 1 inch will be to 4 feet.
Since the art space has dimensions of 2 1/2 in. by 1 in. This will be:
= (2 1/2 × 4) by (1 × 4)
= 10 feet by 4 feet
The dimensions of her art shed in feet are 10 feet by 4 feet.
Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.
Answer:
Step-by-step explanation:
Answer:
Length Length Length Length
1.41 1.41 1.41 1.41
2.24 2.24 2.24 2.24
3 3 3 3
Step-by-step explanation:
.
what is the factor form of 2x^2- 7x -15
Answer:
(2x - 7)
Step-by-step explanation:
YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.
Answer:
The equation is: y = 15·x
Step-by-step explanation:
It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.
Consider the table below.
Number of Hours: 1 3 6 10
Number of Bicycles Produced: 15 45 90 150
Compute the ratio of number of bicycles produced and number of hours for every data above as follows:
[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]
The ratio of the number of bicycles produced and number of hours is same for every data value.
Thus, the relationship between the number of bicycles produced and number of hours is proportional.
The equation for the relationship is:
y = 15·x
y = number of bicycles produced
x = number of hours
What is the smallest number that can be added to 1923 to make the answer divisible by 9?
Answer:
3
Step-by-step explanation:
1926/9=214
1923+3=1926
Which rational number is between -2 and -3
Answer:
There are infinite numbers between -2 and -3
Step-by-step explanation:
First off these numbers:
-2.1 or this number as any equivilant fraction.
-2.2 or this number as any equivilant fraction
-2.3 or this number as any equivilant fraction
-2.4 or this number as any equivilant fraction
-2.5 or this number as any equivilant fraction
-2.6 or this number as any equivilant fraction
-2.7 or this number as any equivilant fraction
-2.8 or this number as any equivilant fraction
-2.9 or this number as any equivilant fraction
any numbers that are reepeating like : -2.3333333333.....
and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.
When making bread from scratch, the recipe calls for
3/4
cup of water. If you need to make a smaller
portion of the recipe, how much water would you need in order to make only 1/6 of the recipe?
Give your answer as a fraction, reduced to lowest terms
Answer:
1/8 of a cup.
Step-by-step explanation:
That would be 1/6 of 3/4
= 1/6 * 3/4
= 1*3 / (6*4)
= 3/24
= 1/8.
2x + 5 =12
What is x
Answer:
7/2
Step-by-step explanation:
2x=12-5....collectible like terms
2x=7
x=7/2...dividing both side by 2
Answer:
soln
we know that,
2x + 5 = 12
or, 2x = 12 - 5
or, 2x = 7
or, x = 7/2
x=7/2
Solve for missing angle
Answer:
so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28 the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees
Step-by-step explanation:
The picture attached has work and the answer! :)
What is the approximate distance between points (-7,2) and (11,-5)?
The approximate distance between points (-7,2) and (11,-5) is
=√[11-(-7)]²+[(-5-2)]²
=√(18)²+(-7)²
=√324+49
=√373
Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle
Answer:
Step-by-step explanation:
perimeter=22
AB+BC+AC=22
8+5+AC=22
AC=22-13
AC=9
Apply the Pythagorean theorem:
AB²+AB²=AC²
8²+5²=64+25=89
AC²=9²=81
no it is not a right triangle because it failed the Pythagorean theorem
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 606060 megabytes on it before the transfer, and an additional 444 megabytes were transferred onto it each second.
Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60
Answer:
The answer is A 40 cars
Step-by-step explanation:
We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!
The local furniture store pays $300 for a dining room table and sells it with a 40% markup.
What is the selling price of the dining room table?
Answer:
$420
Step-by-step explanation:
The wholesale price is $300 and the markup is 40% of that, or
0.40($300) = $120
and so the selling price is $300 + $120 = $420
An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.
Answer:
$420!
Step-by-step explanation:
Help help!!!!!!!!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
4 x 1 / 2
Reduce the numbers with the greatest common factor 2
5 x 2 = 10
(3,4) and (9,2) find slope
Answer:
m = -1/3
Step-by-step explanation:
m= rise over run
2-4 1
____ = - __
9-3 3
Answer:
-1/3 is the slope
Step-by-step explanation:
I attached an image below to show you how i did this. I hope this helps :)
Help and you get Brainliest plz!!!!!!!!
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
These are two separate questions by the way :)
1. 2v +8 < 3y + 1
2. - 7m - 16 >= - 2(7 + 3n) - 2
Answer:
1. [tex]v<\frac{3y-7}{2}[/tex]
2. [tex]m\leq \frac{6n}{7}[/tex]
Step-by-step explanation:
1. [tex]2v+8-8<3y+1-8[/tex]
[tex]2v<3y-7[/tex]
[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]
[tex]v<\frac{3y-7}{2}[/tex]
2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]
[tex]-7m\geq -6n\\[/tex]
[tex]7m\geq 6n\\[/tex]
[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]
[tex]m\leq \frac{6n}{7}[/tex]
Solve for h in the mathematical formula V=pi r^(2)h
Answer:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
Step-by-step explanation:
Lets try and get everything we can away from h.
V = [tex]\pi[/tex][tex]r^{2} h[/tex]
Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.
Now we end up with:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
WILL MARK BRAINIEST!!! HAS TO BE CORECT!!!
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?
StartFraction 3 over 1 EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 3 over 6 EndFraction = StartFraction 2 over 1 EndFraction
One-third = StartFraction 6 over 2 EndFraction
One-third = StartFraction 2 over 6 EndFraction
Answer:
here the answer! There is the proof it's right. :)
Step-by-step explanation:
Answer:
1/3 = 2/6
Step-by-step explanation
Edu correct
you decide to drive 75 miles to orlando for the weekend. if you drove at an average speed of 65 mph, the trip would take about ___ minutes. (*round to the nearest minute*)
Answer:69 mins
Step-by-step explanation:
Well 1 hour 9 mins and 14 sec
Help me asp 25 points and will mark
Answer:
Slope = - 2
Step-by-step explanation:
Given equation is,
y= - 2x
If x=1, y= -2.
If x=2, y= - 4
Take such few points and plot the graph (1, - 2), (2, - 4)........
Draw a straight line through the points.
For slope, compare the equation with slope intercept form, y=mx + c
Here, c=0 and m=-2
Hope this helps!!
TV Cabinet TV screens are measured on the diagonal. If we have a TV-cabinet that is 72 inches long and 64 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth.
Answer:
94inStep-by-step explanation:
We are expected to solve for the diagonal of a rectangular shape.
given that the length, l=72in
width, w=64in
we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle
note: we are to leave 2-inches on all sides for the edging of the TV
l=72-2= 70 in
w=64-2=62
diag=√l^2+w^2
diag=√70^2+62^2
diag=√4900+3844
diag=√8744
diag=93.50 in
to the nearest tenth, it is 94in
How do I simplify the cube root of 875
Answer:
Step-by-step explanation: divide by 5
5 |875
5 |175
5 |35
5 |7
5/5=0
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
Sydney and her friend are having a party. Sydney bakes two pies and stephanie brings two or more. Then, they cut each pie into 6 pieces. How many pieces of pie will they have for the party?
Answer:
24 pieces
Step-by-step explanation:
Sydney bakes two pies, stephanie brings two more.
Together we have a total of four pies
each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.
6 x 4 = 24
Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).
Step-by-step explanation:
Answer:
I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.
Have fun!
The cost C , in £, of a monthly phone contract is made up of the fixed line rental L , in £, and the price P , in £ ,of the calls made. Enter a formula for the cost and, enter the cost if the line rental is £10 and the price of calls made is £28.
Answer:
C = L + P
C = £38
Step-by-step explanation:
Given that :
Cost (C) is given by :
Sum of fixed line rental (L) ; price (P) of calls made.
Hence,
Cost formula;
C = L + P
Cost if the line rental is £10 and the price of calls made is £28.
C = L + P
If L = £10 ; P = £28
C = £10 + £28
C = £38
what does x equal in 4(x-4)<16+2x
Answer:
x<16
Step-by-step explanation:
Graph the inequality
b-2>-9
Answer:
b>-7
Step-by-step explanation:
put an empty circle above -7
Then draw a line from the start of the circle to the right
Hope I helped! :)