Answer:
Option 4 is correct.
Step-by-step explanation:
To find: Polynomial whose solution are not real numbers.
Given Polynomials are Quadratic Polynomial.
So, we can check if solution of quadratic polynomial by find & checking value of discriminant.
Standard form of Quadratic polynomial is given by
ax² + bx + c
then Discriminant, D = b² - 4ac
If, D > 0 ⇒ Solutions are distinct real numbers
if, D = 0 ⇒ Solutions are equal real numbers
if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)
Option A:
By comparing with standard form
a = 1 , b = -6 , c = 3
D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0
Thus, Solutions are Real numbers.
Option B:
By comparing with standard form
a = 1 , b = 4 , c = 3
D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0
Thus, Solutions are Real numbers.
Option C:
By comparing with standard form
a = -1 , b = -9 , c =-10
D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0
Thus, Solutions are Real numbers.
Option D:
By comparing with standard form
a = 1 , b = 2 , c = 3
D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0
Thus, Solutions are not Real numbers.
Therefore, Option 4 is correct.
Step-by-step explanation:
Find the point P on the line y = 5x that is closest to the point (52,0)
Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
what is the total mass of 4 bags of sugar each with a mass of 450g ,840g,336g and 1kg?
Answer:
total mass is equal to
450g+840g+366g+1kg
=1626g+1000g
=2626g
mass is in kg so it is 2.626kg
3. Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a
height of 5 in. The other block has a height of 4 in., a length of 5 in., and a width of 2 in. What is the
combined volume of the blocks?
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
What is the value of x?
Enter your answer in the box.
Since it is an equilateral triangle, all the sides are equal
(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)
4x-10 = 3x+2 Simplify like terms
x = 12
If you want to prove, just plug 12 back into each side
Hope this helped :)
Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns thought out the week . One week . Samantha noticed she earned about $12 tips each hour . Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22
Write a rational equation that models this situation
What is the slope-intercept form of 11x-13y=39?
Answer:
Step-by-step explanation:
y=11/13x−3
hope this helps and mark me brainliest as well please.
Find the missing factor._____ x 5 = 3,000
A) 6
B) 60
C) 600
D) 6,000
Answer:
a = 600
Step-by-step explanation:
Algebraically:
[tex]a*5 = 3000\\a = \frac{3000}{5}\\ a = 600[/tex]
What is the sum of the interior angles of a regular polygon with 7 sides
Answer:
the answer is 900 degrees
Step-by-step explanation:
brainliest?
Answer:
900°
Step-by-step explanation:
sum of interior angles of n sides polygon=(n-2)×180
n=7
Hence sum of interior angles of 7 sided polygon=(7-2)×180
=5×180
=900°
A dotted piece of cloth is 4 feet wide and 2 yards long. A plaid piece of cloth is 3 feet wide and 8 feet long. Show how to find the number of 1-foot squares in each cloth by drawing an array and using multiplication.
Answer:
Step-by-step explanation:
1. Change all the units to be the same. 1yd= 3 feet so 2yd x 3ft =6ft
new Dimensions 4x8 and 3x8
2. View images
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
17°
Step-by-step explanation:
First, see what's the angle of "AOC"
Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.
Now, lets subtract 90 by 73
that will be 17
so hence, the value of X is 17°
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If you see someone without a simle, give them one of yours!
Thanks!
Have a great day!
:D
Complete the table percent fraction and decimal
Answer:
140% - 7/5 - 1.4
4% - 1/25 - 0.04
56% - 2.8/5 - 0.56
95% - 19/20 - 0.95
Two equivalent ratios are shown on the graph. How can you plot more equivalent ratios, starting at one of the plotted points? Select all that apply.
A. Move up 2 and right 1.
B. Move up 1 and right 2.
C. Move up 4 and right 2.
D. Move down 2 and left 1.
E. Move down 1 and left 2.
Answer:
A, move up 2 and right 1
Step-by-step explanation:
If you follow this rule, you can see that all those consistent dotted points will simplify to the same ratios.
Answer:
A, C, D
Step-by-step explanation:
First, we have to create a line based on the data.
Now, we know that the equation of the line is as follows
y = 2x
meaning that whenever we go a certain amount of units to the right or left, we move double that amount up or down
Now, A is equivalent to the Slope, so nthat is automatically equivalent.
C and D are both placed on the line, so they are correct
Another way to think about this is using fractions
x = 1/2 y
For A,
1 = 1/2(2)
For C,
2 = 1/2(4)
For D,
-1 = 1/2(-2)
16. What is the area of the shaded region in terms of Tr? [20 points]
Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9
Answer:
I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.
Step-by-step explanation:
Write the equation of each circle.
1. center at (9, 0), radius 5
SOLUTION:
ANSWER:
2. center at (3, 1), diameter 14
SOLUTION:
Since the radius is half the diameter, r = (14) or 7.
ANSWER:
3. center at origin, passes through (2,2)
26.95 divided by -5 1/2. can someone show me how to do it please?
Answer:
-4.9
Step-by-step explanation:
Since the number 26.95 has two decimal places, it can be turned into a whole number with a denominator having two zeroes; 100
2695
100
Then change -5 1/2 into an improper fraction; = -5 × 2 + 1
2
= -11/2
2695 ÷ ( -11 )
100 2
Reciprocate (put denominator as numerator and vice-versa ) the equation after the ÷ sign. After doing so, the ÷ sign changes to × sign.
Hence: 2695 × ( 2 )
100 -11
Then, cross multiply.
2695 ÷ ( -11 ) = -245100 ÷ 2 50
-245 ÷ 50
= -4.9
Answer: its -4.9
Step-by-step explanation:
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
The width of a rectangle with an area of 55 in depends on its length. Write the formula that describes the width of the rectangle as a function of its length.
If the length of the rectangle is m, then the width w = ?
Answer:
Step-by-step explanation:
[tex]\bf \text{width = $\dfrac{Area}{length}$}[/tex]
[tex]\bf w =\dfrac{55}{m}[/tex]
Use the graph of triangle JKL to answer A and B
a. Reflect JKL over the x-axis. Record the coordinates of
the original and new image below.
b. Describe what happened to the x and y coordinates
once they were reflected.
2 Use the coordinates of triangle QRS to answer a-b.
Answer:
a) J':(-7,7) K':(-5,2) L':(-2,3)
b) The x coordinates remained the same, the y coordinates swapped from negative to positive.
Step-by-step explanation:
Aside: I'm using J', K', and L' to denote the new locations of J,K,L after the reflection.
When an object is reflected over the x-axis, it means it's positive points will flip to negative y space, and negative points will flip to positive y space.
That said, J, for instance, will have the same X-coordinate, but its Y-coordinate will flip from negative to positive. Doing this with every vertex mirrors the triangle over the X-axis.
Therefore, J:(-7,-7) will become J':(-7,7), and likewise with K and L becoming K':(-5,2) and L':(-2,3).
Answer:
Step-by-step explanation:
Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.
The perimeter of parallelogram PQSR is 74 cm. What is QS?
4 cm
6 cm
8 cm
12 cm
The opposite sides PQ and RS of the parallelogram PQRS are congruent
The value of the length QS is 6 cm
How to determine the length QS?The given parameters are:
PQ = 4x - 1
RS = 3x + 7
Opposite sides are congruent.
So, we have:
4x - 1 = 3x + 7
Collect like terms
4x - 3x = 1 + 7
Evaluate the expressions
x = 8
The perimeter is calculated using:
Perimeter = 2(QS + RS)
This gives
2(QS + RS) = 74
Divide by 2
QS + RS = 37
Substiute RS = 3x + 7
QS + 3x + 7 = 37
Substitute 8 for x
QS + 3*8 + 7 = 37
This gives
QS + 31 = 37
Subtract 31 from both sides
QS = 6
Hence, the value of the length QS is 6 cm
Read more about parallelograms at:
https://brainly.com/question/2844650
Answer:
6cm or b
Step-by-step explanation:
Find the value of X and perimeter.
I don’t get it because I don’t have a calculator
What the value of q?
Answer:
50°
Step-by-step explanation:
because angles on straight line add up to 180°,
180-130=50 :)
Answer my question #2
Answer:
Ans is mean .because mean means average.
which of the following is the equation of the one that passes through the point
Answer:
C
Step-by-step explanation:
the answer is C
( -6 , 1 )
y = -1/2x - 2
if x = -6
y = -1/2(-6) - 2
y = 3 - 2
y = 1
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( Please Do Not Use Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported). Very Important.
Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo
Answer:
$69.60
Step-by-step explanation:
Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
Help picture below problem 6
Answer:
option B is the correct answer
Step-by-step explanation:
mark me brainliest
can you please help me
Answer:
42
Step-by-step explanation:
G-14
O-14
O-14
so 14•3=42
PLEASE HELP ILL MARK AS BRAINLIEST!!! Select the correct answer.
What is the value of this expression when c = 25 and d= 14?
a. 50
b. 7
c. -6
d. -10