Need help with this.
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Let t as y² + 5y .
[tex] {y}^{2} + 5y = t[/tex]
Rewrite the equation :
[tex]t - \frac{36}{t} = 0 \\ [/tex]
Multiply sides by t
[tex]t \times (t - \frac{36}{t} ) = t \times 0 \\ [/tex]
[tex] {t}^{2} - 36 = 0[/tex]
Add sides 36
[tex] {t}^{2} - 36 + 36 = 0 + 36[/tex]
[tex] {t}^{2} = 36[/tex]
[tex]t = ± \: 6[/tex]
_________________________________
So :
[tex] {y}^{2} + 5y = 6[/tex]
Subtract sides 6
[tex] {y}^{2} + 5y - 6 = 6 - 6[/tex]
[tex] {y}^{2} + 5y - 6 = 0[/tex]
[tex](y + 6)(y - 1) = 0[/tex]
[tex]y = - 6 \: \: or \: \: y = 1[/tex]
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[tex] {y}^{2} +5y = - 6[/tex]
[tex]No \: \: solution[/tex]
_________________________________
Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .
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+ 14. "-4 less than a number is 17."
Answer:
-4 < x = 17
Step-by-step explanation:
-4 less than a number is 17
less than = <
a number = unknown # ( x )
is = equal sign ( = )
Put all of it together and "BAM" there's your answer!
If you multiply or divide both sides of an inequality by a negative number, you must __________ the inequality sign.
Answer:
Step-by-step explanation:
flip
Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.
3x + 4y = -10
3x - 4y = 10
3x + 4y = 10
3.x - 4y = -10
Answer:
3x + 4y = -10
Step-by-step explanation:
Here, we want to select which of the options will give a system of two equations coupled with the first such that we have no solutions
Since we already have 3x + 4y = 10
The equation that will give a system leading to no solutions will be a system that equates the exact sum of 3x + 4y to another value
Mathematically, that will be;
3x + 4y = -10
8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *
Answer:
14.6 % increase
Step-by-step explanation:
44 divided by 30 = 1.46
To decimal = 14.6 percent
I think
It Is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. A. Describe the sampling distribution for the sample proportion by naming the model and telling its mean and standard deviation. Justify Your Answer. B. Sketch and clearly label the model. C. What is the probability that in this group over 18% of the new cars will be found to have electrical problems?
Answer:
hla amgx q tal están queriendo q te ayude yo sé cómo te puedo ayudar para q te saques buenas notas
Step-by-step explanation:
primero me das la corona y te lo digo sii
Write the expression below as a product of two factors.
6 + 8 + 4
Answer: Factor out the GCF of 6, 8, and 4: 2
2(3m + 4n + 2)
How can 20 × 15 help you find 19 × 15?
Answer:
Step-by-step explanation:
You find the answer of 20 x 15 and subtract 15.
Answer:You find the answer of 20 x 15 and subtract 15.
Step-by-step explanation:
Plz help. Write the slope intercept form of the equation.
Answer:
y = - 1.5x - 5 or y = - 3/2x - 5
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
1 = - 3/2 ( - 4 ) + b Equation
Step 3:
1 = 6 + b Multiply
Step 4:
b = - 5 Subtract 6 on both sides
Answer:
y = - 1.5x - 5
Hope This Helps :)
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H=60°, and from a second position L=20 feet farther along this path it is B=50° What is the height of the tree?
Answer: 44.11 feets
Step-by-step explanation:
Using Pythagoras :
tan θ = opposite / Adjacent
Tan 60° = h / x
h = x tan 60 - - - (1)
tan 50° = h / (x + 20)
h = (x + 20) tan 50 - - - (2)
Equate (1) and (2)
x tan60 = (x + 20) tan 50
1.73205x = (x + 20) 1.19175
1.73205x = 1.19175x + 23.835
1.73205x - 1.19175x = 23.835
0.5403x = 23.835
x = 23.835 / 0.5403
x = 44.114380
Hence, height = 44.11 feets
If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
A) 2 + y = 13
B) x = 13 - y
NICy = 13 - x
OD) x + 2 = 13
Answer:
OD) x+2=13
Step-by-step explanation:
you would plug in the y substitute which would be 2, making the equation x+2=13
:) hope this helps lol
Answer:
X+2=13
Step-by-step explanation:
We know that x+y=13 when added. We also know that y=2. To find X we can add X to 2 to get 13. X=11
I need the answer for 'j" 2j + 5 = 3 + 2j + 2
Answer:
15gm
Step-by-step explanation:
because 5x3 is 15
The angle bisectors of triangle XYZ meet at point P. What is PJ?
=======================================================
Explanation:
Segment PJ is perpendicular to segment YZ
So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.
Let's say a = 12, b = x, c = 20.
Use the Pythagorean theorem to find x
a^2 + b^2 = c^2
12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 400-144
x^2 = 256
x = sqrt(256)
x = 16
Therefore segment PJ is 16 units long.
Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.
Solve the system:
5x+2y = 3
2x + 3y = -1
Answer:
x= 1 y= -1
Step-by-step explanation:
Pick an equation to isloate x or y
5x+2y=3 becomes x=-2y+3/5
Subsitute that into second equation : 2(-2y+3y/5) + 3y=-1
Example and simplify.
Do the same to find x variable
John can clean pools at a constant rate of 3/5 pools/hour. How many pools can John clean in 10 hours?
Answer:
6
Step-by-step explanation:
3/5*10
I want to know this question
On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the total distance the family traveled during its vacation. What is the total distance the Ramirez family traveled during its vacation?
Answer:
Step-by-step explanation:
35 percent of total miles traveled (say T)is 252 miles.
(35/100) * T=252
T=(252*100)/35 => T=720 miles
So total distance the Ramirez family traveled during its vacation is 720 miles
Answer:
720 miles
Step-by-step explanation:
5.03)
Factor x2 - 4x + 5. (4 points)
Answer:
(x + 5) (x - 1)
If these two shapes are similar, what is the measure of the missing length g?
Why can any two opposite faces of a rectangular prism be called the bases
Answer:
Step-by-step explanation:
The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.
Prism: Math Definition
A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).
Hope this helps ✌️
Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
What is a rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.
Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
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17 tens in standard form add
Unit rate for 2.88 for 12 ounces
Answer:
0.24 per ounce
Step-by-step explanation:
When I divide my number by 8 and are my number I get 90. What is my number?
Answer:
720
Step-by-step explanation:
90x8=720
720/8=90
HOPE THIS HELPS BROSKI~
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
62x(70+8) in word form
Answer: sixty-two x times in parentheses seventy plus eight
What is the decimal value of x in the equation 7x − 2 = 5x + 3?
Answer:
x= 2.5
Step-by-step explanation:
7x-5x = 2x
2x-2 = 3
3 + 2 = 5
2x=5
5/2 = 2.5
Answer: 5/2 or 2.5
Step-by-step explanation:
So first you add 2 to -2( crossing it out) and add 2 to 3. Then you simplify giving you the equation of 7x=5x+5.
Then subtract 5x from 7x and 5 giving you the equation of 2x=5.
Ounce done divide your equation by 2, giving you the answer if 5/2 or 2.5.
Find the cosine of R.
Write your answer in simplified, rationalized form. Do not round.
cos(R) =
Answer:
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
Step-by-step explanation:
To find the cosine of <R, apply the following trigonometric ratio formula:
[tex] cos(R) = \frac{adjacent}{hypotenuse} [/tex]
Adjacent = 3
Hypotenuse = √15
Plug in the values into the formula
[tex] cos(R) = \frac{3}{\sqrt{15}} [/tex]
Multiply the numerator and denominator by √15 to rationalize.
[tex] cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{15} [/tex]
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
Find the slope between (8, 3) and (-5, 3)
Answer:
slope=0 (horizontal line)
Step-by-step explanation:
A way to remember this is if you went skiing on a horizontal line you would have 0 fun.
Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane?
Answer:
A. z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
Find the slope between (-12, 16) and (-4, -2)
Answer:
x=-9/4
Step-by-step explanation: