Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
the slope of the line is undefined
Step-by-step explanation:
i just took test
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
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A. g(x)= -5/2[x]
B. g(x)= -2/5[x]
C. g(x)=2/5[x]
D. g(x)=5/2[x]
Plz help
Answer:
B. g(x) = -2/5[x]
...............
Help help help help please-
Answer:
x = 17
Explanation:
Notice that all three of the angles combined create a straight angle. This means that the sum of all three angles is equal to 180 degrees.
Create your equation (7x - 2) + (2x + 4) + (25) = 180
Combine like terms 9x + 27 = 180
Subtract the constant from each side 9x = 153
Divide each side by the coefficient x = 17
You can check your work or find each individual angle by substituting 17 in for x.
helppp first to answer get brainlist
Answer: c
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6 answer
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
answer quick please
Answer:
x= 12 y= 9
Step-by-step explanation:
x+29=3x+5
-x
29=2x+5
-5
2x=24
/2 /2
x=12
12+29=41
180-41= 139+5= 144÷16=9
I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!
Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of
miles he runs.
months he runs.
miles he ran the first day.
calories he burns.
The variable x represent the number of months in which he runs.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that Sean one-half mile on his first run and adds two miles a month to his run. It is given by the equation f(x)= 0.5 + 2x
The variable x represent the number of months in which he runs.
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−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
Please write only vertical compression or stretch
Answer:
No te puedo ayudar vbbnn
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs
multiply 1 5.8 and 5.62
Answer:
88.796
Step-by-step explanation:
you multiply them...
Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
In Argentina, a cow on a ranch is expected to need an average of 4200 m2
of grassland for food.
What size does a ranch need to be to feed 4500 cows?
Give your answer in hectares.
The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.
And we are asked to find the total area of their grazing but in hectares. So, we can write:
[tex]1 \: cow = 4200 \: {m}^{2} [/tex]
Then, for 4500 cows:
[tex]4500 \: cows = 4200 \: {m}^{2} \times 4500[/tex]
[tex]4500 \: cows = 18900000 \: m {}^{2} [/tex]
We know that, 1 hectares = 10000 m² = 10⁴ m²
Then let the area of the field be x in hectares:
[tex]1 \: hectare = 10000 \: {m}^{2} [/tex]
[tex]x \: hectare = 18900000 \: {m}^{2} [/tex]
Then, putting them in proportion, We will get:
[tex]x = \dfrac{18900000}{10000} hectares[/tex]
[tex]x = \boxed{ 1890 \: hectares}[/tex]
So, the total area in hectares = 1890 hectares.
And we are done !!
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For exercise 1-3 find the coordinates of the midpoint of the segment with each pair of end points (12,-7) and (-6,15)
Answer:
The answer is
( 3 , 2)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(12,-7) and (-6,15)
The midpoint is
[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
( 3 , 2)Hope this helps you
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
Explain why Figure B is not the image of Figure A after a rotation using center P
Answer:
because the are not the same measurement nor the right placement
Step-by-step explanation:
The sides of figure B appear narrower than the sides of figure A.
We need to explain why Figure B is not the image of Figure A after a rotation using centre P.
What is a rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Now,
The reason why figure B is not the image of figure A after a rotation using centre P includes
1) The angle of rotation is measured as 180 - 45 = 135°, while the angle of rotation of the base is (90 - 26) + (90 - 71) = 83°
2) Rotation of a figure is a rigid transformation, such that the dimensions of the sides of the pre-image and the sides of the image should be equal after the rotation, however, the sides of figure B appear narrower than the sides of figure A.
Therefore, the sides of figure B appear narrower than the sides of figure A.
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please help asap! thanks
Answer:
its the last one i believe
Step-by-step explanation:
because u have to get m by its self so
you divide 5 square from both sides and boom
Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation
Answer:
reflection
Step-by-step explanation:
this is a reflection off y=-x
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
1. Jane solved the midpoint, M, of a segment with endpoints (-4,-1) and(2,5) as shown below. Is her findings correct?
Step-by-step explanation:
I guess I was help full for u
Determine the type of construction from the following steps
Similar
Perpendicular
Parallel
Congruent
Answer: perpendicular
Step-by-step explanation:
Hope this helps! If I’m right please give me Brainly-eat!! :)
approximate each irrational number to the nearest hundreth √32
Answer:
5.66
Step-by-step explanation:
sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66
-6(-2x² + 6-3w²)
they said to remove the parenthesis using distributive property helpp me
Answer:
=18w2+12x2−36
Step-by-step explanation:
I hope this helps you
Answer:
18w^2+12x^2−36
Step-by-step explanation: