Here's the solution,
=》
[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]
=》
[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]
now, let's multiply the whole equation with 4
=》
[tex]4 {x}^{2} - 12x + 5 = 0[/tex]
=》
[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]
=》
[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]
=》
[tex](2x - 1)(2x - 5) = 0[/tex]
so,
Case 1. where, 2x - 5 = 0
=》
[tex]x = \dfrac{5}{2} [/tex]
case 2. where, 2x - 1 = 0
=》
[tex]x = \dfrac{1}{2} [/tex]
what's the answer to this question? (zearn)
Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The volume of the bedroom:
9 * 5 * 7 = 315 cubic feet
The volume of the den:
(9*2) (5*2) (7*2)
18 * 10 * 14 = 2,520
2,520/315 = 8
What is 3÷3/4? (Btw you guys are so helpfil literally tysm
Answer:
Answer is 0.25.
Step-by-step explanation:
3/3=1
1/4=0.25
Have a nice day!
and can I maybe have brainliest? Thanks!
WOW This is my 150th answer!!!
HELP MEEEEEEEEEEEEEEEEEEEEE!
The triangle and square have equal perimeters. What is the perimeter of the triangle?
A. 18
B. 4
C. 12
D. 32
E. 16
F. 24
Answer:
E. 16
Step-by-step explanation:
Perimeter of the triangle = 4x+4x+(x+7)
Perimeter of square = 4(x+3)
We know that the perimeters are equal so we can form an equation to solve for x:
9x+7 = 4x + 12
Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:
9x+7-7-4x=12+4x-4x-7
5x = 5
Now we divide both sides by 5 to get:
5x/5 = 5/5
x = 1
Now we can use this value to figure out the perimeter of the triangle:
P = 9x + 7
x=1, substitute into equation:
P = 9(1) + 7
P = 16
Hope this helped!
Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?
Answer:
52
Step-by-step explanation:
40(x)=52
Answer:
50°
Complentary angles are two angles that sum up to 90°
So 50+40=90
Natasha was thinking of a number. Natasha doubles it and adds 6.5 to get an answer of 79.4. Form an equation with
x
from the information.
Answer:
Let the correct number be x.
therefore,
x - 6.5 = 79.4
the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares
Answer:
2025 is the answer
Step-by-step explanation:
What is the factored form of x^2-x-20
Answer:
(x+4)(x-5)
Step-by-step explanation:
x²-x-20
But ax² + bx +c
product = ac = 1 × -20 = -20
sum = b = -1
Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)
Therefore:
x²-5x+4x-20
x(x-5)+4(x-5)
(x+4)(x-5)
Step-by-step explanation:
x^2-5x+4x-20
x(x-5)+4(x-5)
(x-5)(x+4)
what its 1010 + 800 pls help
Answer:
1,810 hope this helps ;)
Answer:
1810
Step-by-step explanation:
lol, did I get trolled?
Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1
Answer: (a)
Step-by-step explanation:
Given
angle is [tex]270^{\circ}[/tex]
Sine and cosine at this angle is
[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]
Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]
[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]
The same thing is depicted by option (a)
The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The equation is given below.
sin²ø + cos²ø = 1
We know that the ø = 270°. Then we have
sin 270° = -1
cos 270° = 0
Then the equation will be
(-1)² + 0² = 1
Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ5
If 12 pens are packed equally into 2 boxes, how many pens will each box hold?
Answer:
6
Step-by-step explanation:
12/2=6
Hope it helps......
What’s the product of four-fifths and two-and-five-twelfths?
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
Please help me ASAP please
Answer:
Equation: 45 - 21 = s
The second answer is 24.
You can check by adding 24 + 21 which is 45.
What is the area of the green triangle?
Answer:
The answer is 65
Step-by-step explanation:
Formula for triangle: b x h x 1/2
base= 13cm height= 10cm
13 x 10 x 1/2 =65
The area of the green triangle is 65.
Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=
Answer:
5+12x-3 = 14
12x = 14 -5+3
12x = 12
x = 1
Answer:
X=1. I did mental math. I am sure.
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
Answer:
8600 litre×235 will be there in the tanks
A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?
9514 1404 393
Answer:
-49/4
Step-by-step explanation:
The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.
The product being sought is (7/2)(-7/2) = -49/4.
Answer: -49/4
Step-by-step explanation:
First set up two equations; a primary and a secondary equation.
Primary: P=xy
Secondary: x=7+y
Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.
Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2
Finally substitute y value into the secondary equation and solve for x:
x = 7 - 7/2
= 14/2 - 7/2
= 7/2
Multiply the two values together: -7/2 * 7/2 = -49/4
If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.
Answer:
[tex]q = 7[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation
[tex]p =2; q = 21[/tex]
Required
Find q when [tex]p = 6[/tex]
[tex]p\ \alpha\ \frac{1}{q}[/tex]
This becomes
[tex]p = \frac{k}{q}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = p * q[/tex]
Substitute [tex]p =2; q = 21[/tex]
[tex]k = 2 * 21[/tex]
[tex]k =42[/tex]
When [tex]p = 6[/tex], we have:
[tex]p = \frac{k}{q}[/tex]
[tex]6 = \frac{42}{q}\\[/tex]
Make q the subject
[tex]q = \frac{42}{6}[/tex]
[tex]q = 7[/tex]
solve the expression 7x + 8, x=4
Answer:
36
Step-by-step explanation:
7x + 8
x = 4
So, 7(4) = 28
28 + 8 = 36
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
What is the total surface area of the square pyramid?
240 square meters
280 square meters
310 square meters
380 square meters
Answer:
380 I belive! :))
Step-by-step explanation:
Correct me if I'm wrong! ((:
What can you conclude about alternate interior angles?
Plz be specific..Will give BRAINLIEST!!!
Answer:
We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Please mark as brainliest.
Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answer:
[tex]6 in^{2}[/tex]
Step-by-step explanation:
Ratio d area= ( Ratio d side length)²
[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]
[tex]a=\frac{24*9}{36} =6[/tex]
So your answer is 6 you are correct!!
[tex]----------------[/tex]
hope it helps...
have a great day!!
Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth
If y=qx5 and if q=10 then what is y?
The label on the can of soup covers
about 354.2 square centimeters. What is the
height of the can
Radius : 4.7 cm
HELPP
Answer:
h = 12 cm
Step-by-step explanation:
Given that,
The area of the can of a soup, A = 354.2 cm²
Radius of the can, r = 4.7 cm
We need to find the height of the can. The formula for the volume of a cylinder is given by :
[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]
So, the height of the can is equal to 12 cm.
Where can we use linear inequalities in real life?
Step-by-step explanation:
we can use it to solve age problems and Money problems e.t.c
A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?
100 points if you tell me what is range
Answer:
Difference in large and small numbers, higher or smaller value.
Answer:
The range is the difference between the largest and smallest numbers. If you are talking in math.
Example 1: 1, 2, 5, 6, 7
so the smallest number is 1 and the largest number is 7 so 7-1=6
The range is 6.
Example 2: 16, 19, 10, 17, 42
now we have a data set that is not in order. First step is to order them:
10, 16, 17, 19, 42
Next take the smallest and largest number and subtract them: 42-10=32
The range is 32.
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
Write an equation to represent the situation.
What is Noah's fundraising goal? Show or explain how you found it.
Answer:
make shur your using fractions
54 60
x 100 cross multiply
54(100) 60(x)
5400 60x
divided both by 60
5400/60 60/60
90 1
= $90
then you go
54 60
90 100
and use a caculater to see if your answer is coorect
you just fowllow the steps to see if you get 90
Step-by-step explanation: