Step-by-step explanation:
solve for 4x2 + x - 6 = 0
Answer: [tex]x= \frac{-1+\sqrt{97} }{8} , \frac{-1-\sqrt{97} }{8}[/tex]
Step-by-step explanation:
Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!
In general, given [tex]ax^{2} +bx+c=0[/tex] , there exists two solutions where:
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^{2} }-4ac}{2a}[/tex]
In this case, a=4 , b=1 and c= -6
[tex]x= \frac{-1+\sqrt{1-4*4*-6} }{2*4}[/tex] , [tex]\frac{-1-\sqrt{1-4*4*-6} }{2*4}[/tex]
Simplify.
[tex]x=\frac{-1+\sqrt{97} }{8}[/tex] , [tex]\frac{-1-\sqrt{97} }{8}[/tex]
The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131
Subtract 1:
131-1 =130
Divide by 2:
130/2 = 65
First number is 65
For the second number take the first number and add the 1 that you originally subtracted:
Second number : 65 + 1 = 66
The numbers are 65 + 66 = 131
another one! what is 7x-8x=23? will mark brainliest!
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
Classify the triangle by its angles and by its sides
Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles
Answer:
Acute isoceles
Step-by-step explanation:
Two base angles of the triangle are equal making it isosceles
The top angle is less than 90° making it an acute angle
-4( x^3 + x^2 -3 ) =
Which expressions are equivalent to -90-60w
Answer:
Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.
Step-by-step explanation:
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
Learn more about similar triangles here:
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What is 181.5% of 18?
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
The solution of expression is,
⇒ 32.67
We have to given that;
To find the value of 181.5% of 18.
Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Hence, We can simplify as;
⇒ 181.5% of 18
⇒ 181.5/100 × 18
⇒ 1.815 × 18
⇒ 32.67
Thus, The solution of expression is,
⇒ 32.67
Learn more about the percent visit:
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Please help me with this triangle problem!
Answer:
Answer is given below with explanations.
Step-by-step explanation:
By using the results of the similarity theorem
we say that
[tex] {y}^{2} = 4 \times 12 \\ {y}^{2}= 48 \\ {y} = \sqrt{48} \\ y = 4 \sqrt{3} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
The graph shows the relationship between the volume of rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
O-3
O-1/3
O1/3
O 3
Answer:
3. Do Δy/Δx
Step-by-step explanation:
Do 10/3, which is an estimate. You get an answer of 3.3. Intuitively this makes sense because the slope is a constant positive value. And 1/3 is way too small of a number to describe the steepness shown
Or actually, do 3/1 because that would give the slope from x=0 to x=1. Since the slope is constant, that answer will apply for every single point on the function
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4
Answer:
b = -5
Step-by-step explanation:
You needy to calculate the Discriminant = b² - 4ac
If D is zero there is one real solution,
If D less then zero there are no real solutions
Only if D is bigger then zero, there are two real solutions.
x² - 5x + 5 D > 0 so 2 real solutions
see attachment.
x² - 3x + 5 D < 0 so no real solutions
x² + 3x + 5 D < 0 so no real solutions
x² + 4x + 5 D < 0 so no real solutions
Answer:
-5
Step-by-step explanation:
It's A on edge I'm doing the assignment rn
A survey of 50 people found that 14 people like building a snowman. If 600 people had responded, how many would have been expected to list building a snowman as their favorite winter activity?
theoretical or experimental probability, and why
Answer:
168, a little of both
Step-by-step explanation:
Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer
HELP ASAP PLEASE
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
yes
Step-by-step explanation:
i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please
Can somebody help me with this question
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
Answer:
-17 degrees
Step-by-step explanation:
since it is 126 degrees lower, you minus 126 from 109. 109-126= -17
Based on the graphic, which three-dimensional figure has the greatest volume?
A) the cylinder
B) the rectangular prism
C) the oblique rectangular prism
D) all three have the same volume
9x - 3y = -42 and -9x + 8y =22
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9
A bakery uses 3/10 of a cup of flour in one batch of biscuits. The bakery uses 3/5 of a cup yesterday. how many batches of biscuits did the bakery make?
Answer: The bakery made 3 batches of biscuits.
Step-by-step explanation:
To find how many batches the bakery made set up a proportional relationship .
so if [tex]\frac{3}{10}[/tex] can make 1 batch of biscuit
is asking how many batch of biscuits can [tex]\frac{3}{5}[/tex] cup of flour make
so solve this divide 3/5 by 3/10 to find the number of batches
[tex]\frac{3}{5} /\frac{3}{10}[/tex] = [tex]\frac{30}{15 }[/tex] = 2 +1
Answer:
the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
Help ASAP ❤️❤️❤️!!!!!!!!!!
Answer:
17.7 and 4.09
Step-by-step explanation:
Using the sine ratio in both right triangles
(49)
sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )
26 × sin43° = a, thus
a ≈ 17.7 ( to 1 dec. place )
----------------------------------------
(50)
sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )
6 × sin43° = a , thus
a ≈ 4.09 ( to 2 dec. places )
Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.
Answer:
An expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
Now he deposited g twenty-dollar bills
Now new amount =$421.56+20g
Now he deposited k quarters
1 quarter = 0.25
k quarters = 0.25k
So, Amount in the account = 421.56+20g+0.25k
Hence an expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
Can someone help me out, I'm having trouble on these two questions.
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
The number of patients treated at Dr. White's dentist office each day for nine days
is 16, 13, 15, 6, 21, 20, 12, 9, 12. Find the mean, median, mode, and range of
the data. If necessary, round to the nearest tenth.
A 13.8, 13, 12, 15
B 13.8, 12, 13, 27
C 15.8, 13, 12, 27
D 13, 15.8, 12, 15
Answer:
mean= 16+13+15+6+21+20+12+9+12/9
=13.8
median= 13
mode= 12
range= 15
help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3
Answer:
No solutions
Step-by-step explanation:
The 4y and the -4y will always cancel each other out. This leaves us with
-12 = 14-2
or
-12 = 12
which is never true
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
Look at pic down underrr
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23
Answer:
Step-by-step explanation:
Since 20% is taken off, 100%-20% or 80% remains.
80% of $65 is 0.80�$65 or $52. That's the price without tax.
The tax on $52 is 0.06�$52 or $3.12,
$52 + $3.12 = $55.12
Answer:
d
Step-by-step explanation:
HELP ME PLEASEEE thanks
Answer:
47°
Step-by-step explanation:
Since x and 133° are supplementary (meaning they add up to 180°), x + 133 = 180 so that means x = 47°.
Choose the product. -6 p3 (3 p2 + 5 p - 1)
Answer:
-18p^5 - 30p^4 + 6p^3
Solve for x:
11(x+2)+3(x+4)=34
Answer:
x=0
Step-by-step explanation:
first remove parentheses 11x + 22 + 3x +12 =34
then cancel equal terms 14x + 34 = 34
divide both sides by 14 14x = 0
solution x = 0
If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip.
Answer:
11.6929451 %
Step-by-step explanation:
Take the amount of the tip over the total amount to find the percent left
10.16/86.89 =
.116929451
Multiply by 100 to put in percent form
11.6929451 %
Answer:
approx: 11.693%
Step-by-step explanation:
First divide the tip by the cost:
10.16/86.89
which =
0.11692945103
To get it to a percent we multiply by 100:
0.11692945103x100=
11.692945103
now all we need to do is add the percentage
11.692945103%
And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.
= 11.693%
please mark brainliest and have a great day