Hi there!
[tex]\large\boxed{k> 6.125}[/tex]
We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)
If b² - 4ac < 0, then the equation will have complex solutions. Therefore:
Plug in the given values of b and a to solve:
7² - 4(2)(k) < 0
Simplify:
49 - 8k < 0
Solve the inequality:
49 < 8k
6.125 < k
k > 6.125. Anything greater than 6.125 would result in complex solutions.
solve y= -2^(-x-3)= -4
Which variable in the following equation represents the slope of the line? y=mx+b
Which Player has not won at least 2 superbowls-
A. Tony Jones
B. Steve Young
C. Ronnie Lott
D. Drew Brees
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B. ∠EYL and ∠AYS
D. ∠SYL and ∠EYA
Step-by-step explanation:
A vertical angles are the pair of angles on the opposite sides of intersecting lines
In the given figure, the pair of intersecting lines are;
Line AYL and line SYE
The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;
From East to West (left to right direction) angles ∠EYL and ∠AYS
From the direction of 'H' ∠SYL and ∠EYA
Therefore, the correct options are;
B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.
The size of angle DEF
Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
Evaluate the question.
-8x = 90
A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82
Answer:
C.) x = -45/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-8x = 90
Step 2: Solve for x
[Division Property of Equality] Divide -8 on both sides: x = 90/-8Simplify: x = -45/4Write a function in any form that would match the graph shown below.
Answer:
y + 16 = -1(x + 3)²
Step-by-step explanation:
Looking at the graph, parabola vertex opens upwards with x intercepts as -5 and -1.
Thus, the line of symmetry will be;
x = (-5 + (-1))/2 = -3
Looking at the graph we can see that the vertex when traced to the x - coordinate will be 3 which is same with what we got.
Now, the general form of the equation will be;
y - h = a(x - k)²
where (k,h) is the vertex coordinate
Thus, k = -3
So;
y - h = a(x - (-3))²
>> y - h = a(x² + 6x + 9) =
>> y = ax² + 6ax + 9a + h
When, x = 0
y = 9a + h
From the graph, we can see that the y-intercept is y = -25
Thus;
9a + h = -25
From the graph, h which is the y-coordinate of the vertex = -16
Thus;
9a - 16 = - 25
9a = -25 + 16
9a = -9
a = -9/9
a = -1
Thus, the equation is;
y - (-16) = -1(x - (-3))²
>> y + 16 = -1(x + 3)²
PLEASE I REALLY NEED HELP I ONLY HAVE AN HOUR LEFT TO FIINISH THIS What is the relationship or pattern you see between the month and the daylight hours?
Answer:
T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.
Step-by-step explanation:
Please help I’ll give brainliest
can anybody tell me if this is correct please? thank you.
Answer:
Yep
Step-by-step explanation:
You're correct, Well done!
Answer:
Yes that is correct!
Step-by-step explanation:
(38 x 25)/100 = $9.50
38 - 9.50 = $28.50
can someone help me with this
Answer:
x = 5
Step-by-step explanation:
within this triangle are two congruent right triangles with height of 4 and base of 3 (half of 6)
use the Pythagorean Theorem to find 'x':
3² + 4² = x²
9 + 16 = x²
x² = 25
x = √25
x = 5
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
PLSSS HELP!! (Determine the value of x.)
Answer:
X=4
Step-by-step explanation:
(2x-5)+(4x-1)=7x-10
2x-5+4x-1=7x-10
6x-6=7x-10
6x=7x-4
x=4
heyy pls answer quickly i need help on math again
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Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.
The following table represents the highest educational attainment of all adult
residents in a certain town. If a resident who is aged 40-49 is chosen at random, what
is the probability that they have completed a master's degree? Round your answer to
the nearest thousandth.
Answer:
≈0.576
Step-by-step explanation:
Age under 40: 871+870=1741
Total with master’s degree: 3023
Probability: 1741/3023
≈0.576
2. Write an inequality for each of the
following situations:
The temperature was less than 7° F.
You must be at least 42 inches tall to ride
the rollercoaster.
The repairs to the car will be at least $125.
You need to sell atleast 25 tickets.
You cant be more than 40 pounds to ride the ponies
There were less than 12 people in my class
Answer:
the temperature is 6 degress fair hight you are 42inches while riding the ride
I could use some help on this, thank you!
Answer:
B
Step-by-step explanation:
[tex]y = 3x - 5 = 37 \\ 3 \times 14 = 42 \\ 42 - 5 = 37[/tex]
Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)
Answer:
Sine of C=?
Among the given options which is the correct one.
Step-by-step explanation:
Consider a right-angle triangle ABC.
[tex]angle B=90^{0}[/tex]
In a right angle triangle, one angle [tex]90^{o}[/tex].
The sum of all the angles is [tex]180^{o}[/tex].
[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]
Consider the trigonometric ratios and use the traingle ABC.
[tex]SinC=\frac{AB}{AC}[/tex]
[tex]CosA=\frac{AB}{AC}[/tex]
[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]
Answer:
OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answer:
5:15 or can be simplified to 1:3
Step-by-step explanation:
There are 5 boys out of 15 total students in glee club.
Please help
(x + 7/2) = (I don't what sign it is but it says plus minus square root sign over 5/2)
Answer:
Step-by-step explanation:
Hope this helps u!!
Which of the following is a proper fraction?
4/5
4/3
3/2
5/4
Answer:
the following is a proper fraction
4/5
Answer:
4/5 is correct answer as numerator is smaller than denominator
Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
If the tax rate is 8%, what is the sale price of the Jeans Including tax?
Answer:
$34.56
Step-by-step explanation:
First, find the discount price.
20% of 40
20/100 x 40= $8
Deduct the discount from the original price.
40 - 8 = $32
This is the discount price.
Now, find 8% (tax) of the price.
8/100 x 32 = $2.56
Add it to the price.
32 + 2.56 = $34.56
Hope this helps!
A refrigerator is sold for $1998 and a 11% profit is made.
Find the original cost of that refrigerator.
Answer:
Cost Price = $1800
Step-by-step explanation:
Let cost price (CP) be x
Selling price(SP) = 1998
Profit = Selling price - cost price = 1998 - x
[tex]profit \% = \frac{SP - CP}{CP}[/tex]
[tex]\frac{11}{100} = \frac{1998-x}{x}[/tex]
[tex]0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800[/tex]
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
find the surface area of the given prism
Answer:
Hello! answer: 432
Step-by-step explanation:
12 × 8 = 96
12 × 8 = 96
12 × 6 = 72
12 × 6 = 72
8 × 6 = 48
8 × 6 = 48
Then you add them all up so...
96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!
Find BD. NO LINKS ALLOWED PLEASE.
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12
The measure of central angle XYZ is 1.25 radians.
Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.
What is the area of the shaded sector?
10 units2
20 units2
40 units2
80 unit
Answer:
The correct answer is C:
40π units²
Step-by-step explanation:
Just took it on edg
What is the value of x in the figure?
90
70
60
50
Answer:
50
Step-by-step explanation:
90-30=60
x + 10 = 60
-10
x = 60-10
x = 50
The sum of two numbers is 84. One number is 6 more than the other. What is the smaller of the two numbers?
Answer:
The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.
Step-by-step explanation: