[tex] y = \frac{ \sqrt{13} - 3}{2}[/tex]
Answer:
[tex] y = \frac{ - \sqrt{13} - 3}{2}[/tex]
Step-by-step explanation:
[tex] {y}^{2} + 3y = - 1 \\ {y}^{2} + 3y + 1 = 0 \\ {y}^{2} + 2. \frac{3}{2} y + \bigg( \frac{3}{2} \bigg)^{2} - \bigg( \frac{3}{2} \bigg)^{2} - 1 = 0 \\ \bigg( {y} + \frac{3}{2} \bigg)^{2} - \frac{9}{4} - 1 = 0 \\ \bigg( {y} + \frac{3}{2} \bigg)^{2} - \frac{9 - 4}{4} = 0 \\ \bigg( {y} + \frac{3}{2} \bigg)^{2} - \frac{13}{4} = 0 \\ \bigg( {y} + \frac{3}{2} \bigg)^{2} = \frac{13}{4} \\ {y} + \frac{3}{2} = \pm\frac{ \sqrt{13}}{2} \\ y = \pm\frac{ \sqrt{13}}{2} - \frac{3}{2} \\ y = \pm\frac{ \sqrt{13} - 3}{2} \\ \red{ \boxed{ \bold{y = \frac{ \sqrt{13} - 3}{2}}}} \: or \: \purple{ \boxed{ \bold{ y = \frac{ - \sqrt{13} - 3}{2} }}}[/tex]
A curb is 4 inches high. The ramp from the sidewalk yo the street follows the same guidelines as other Ramos (no more than 4.8 degrees, so a 1:12 ratio of vertical to horizontal). What is the horizontal distance for a ramp with a 4 inch vertical distance?
Answer:
48 inches.Step-by-step explanation:
Givens
The height of a curb is 4 inches. So, the ramp has a height of 4 inches.The ratio between vertical and horizontal distance of the ramp is 1:12.Accoriding to the given ration, one unit of vertical distance is equivalent to 12 units of horizontal distance. So, the horizontal distance is
[tex]h=12(4 \ in)=48 \ in[/tex]
Therefore, the horizontal distance is 48 inches.
The horizontal distance for a ramp with a 4 inch vertical distance will be 48 inches.
Given,
The height of curb is 4 inches.
We have to calculate the horizontal distance for a ramp with a 4 inch vertical distance.
The ramp from the sidewalk of the street follows the same guidelines as other Ramos, no more than 4.8 degree.
Since The ratio of vertical to horizontal is 1:12, it means for a 1 inch vertical distance the horizontal distance is 12 inches.
So, for 4 inches of vertical distance the horizontal distance will be,
[tex]12\times4=48[/tex] inches.
Hence the required horizontal distance is 48 inches.
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Which equation represents the relationship between the angles in this figure?
148+b=90
148+b=180
2b+148=90
2b+148=180
What is the value of b? ___ degrees
2b+148=180
Answer:
b = 16
Step-by-step explanation:
2b+148=180
2b = 180 - 148
2b = 32
b = 32/ 2
b = 16
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer: 27 days
Step-by-step explanation:
Hi, to answer this question we have to apply inverse relation:
Since it takes 24 electricians 36 days to wire a new housing subdivision, the relation is:
24 (36)
For 32 electricians:
24(36) = 32 (x)
Solving for x (days)
864 =32x
864/32 =x
x= 27 days
Feel free to ask for more if needed or if you did not understand something.
FOR EASY BRAINLIEST BRAINLIEST!! Do 1. 2. And 3. With explanation
Answer:
1.) Ans -2 , 14
2.) Ans 2 1/5
3.) Ans y= mx+c
Step-by-step explanation:
first one you use Y = Mx +c
You see the Mx is a multiplication
and you input.
M * x = -5 x 2
M* x = -5 x -1
M* x = -5 x 3
M* x = -5 x -2
and note the answers will be less 4 as the equation states +4 is the y intercept and balances the equation.
So answers of the above in same order are;
-10
5
-15
10
we add 4
-6
9
-11
14
and see that 14 is the correct answer for y.
So the correct coordinates are -2, 14
Question 2) coordinates -1 k can equal = -5x+3
First we write as a division we know the gradient is -5
-we eliminate x
5x-1 / k+3
= 4x/k+3
M = -5
= 4x = -5(k+3)
= 4x = -5k +15
= 4x -15 =-5k
= -11 =-5k
= 11/-5 = k
k = 2 1/5
3) Ans The equation of a line is y=(input the number whatever times the x to make the number before you add)
y = m
3) Ans then you place x next to it
3) Ans then you place + 4 or whatever adds to the number.
So the equation of the line is what makes y its value through m the gradient being the number you times with x and the difference of that total to make y intercept.
Find y intercept and you have c of Mx+c
The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
Both h and k must be positive.
Both h and k must be negative.
h must be positive and k must be negative.
h must be negative and k must be positiv
Answer:
D
Step-by-step explanation:
If the graph is shown on the grid then k must be positive and h must be negative.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
In this case we have:
The main function is:
y = f(x) = |x|
To move the graph vertically we have:
y = f(x) + k
If k> 0 , the graph moves k units up
To move the graph horizontally we have:
y = f(x+ h)
IF h > 0, the graph moves h units to the left
For this case, we want to move the graph k units up and h units counterclockwise. We have then, the following equation:
g(x) = |x – h| + k
Therefore, according to the definitions:
k > 0
h < 0
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Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
What is Maya’s running speed?
PLZ HELP IN A RUSH PLZ PLZ PLZ
Answer:
this is a short In the dark but 6mph
Which of the following is the correct factorization of the polynomial below?
2p^2 - 11pq + 24q^2
Answer:
The polynomial is irreducible
Step-by-step explanation:
Plz help meeas quickly as you can
First, find all the values on the line plot.
5 1/4, 5 1/4, 5 1/4, 5 1/2, 5 1/2, 6 1/4, 6 1/4, 6 1/4, 6 1/4, 6 1/4, 7 1/4, 7 1/4, 7 1/2, 7 3/4
Second, add all the numbers.
5 1/4 + 5 1/4 + 5 1/4 + 5 1/2 + 5 1/2 + 6 1/4 + 6 1/4 + 6 1/4 + 6 1/4 + 6 1/4 + 7 1/4 + 7 1/4 + 7 1/2 + 7 3/4 = 87 3/4
Therefore, the answer is A.
Best of Luck!
PLEASE HELP ITS MY LAST, AND ITS DUE IN 6 MINUTES. SHOW A LITTLE WORK AND I WILL GIVE BRAINLIEST
Answer:
77
Step-by-step explanation:
The median is the middle number
There are 18 numbers so the middle is between the 9 and 10 numbers
76 and 78 are the 9th and 10th numbers
Average them
(76+78)/2 = 77
The median is 77
Simplify the expression.
0.24 – 1.6
Answer:
Step-by-step explanation:
Answer:
-1.36
Step-by-step explanation:
PLZ HELP
Derek rolls a die many times and records the number of times he rolls a three. Arrange the following situations in order from the situation that gives the largest difference between relative frequency and actual probability to the situation that gives the smallest difference.
Derek rolls the
die 10 times.
Derek rolls the
die 30 times.
Derek rolls the
die 5 times.
Derek rolls the
die 20 times.
and the answer is not
10,30,5,20
Answer:
65
Step-by-step explanation:
65=5+20+10+30
One side of a regular triangle is 5 units. What is the perimeter of the triangle?
Answer:
15 units
Step-by-step explanation:
If one side of a triangle is 5 units you multiply that by 3 (3 sides in a triangle)
= 15 units
Hope this helped :)
What is the value of x?
to
Enter your answer in the box.
X=?
Answer:
21
Step-by-step explanation:
We need to utilise one important angle in order to answer this question which is
→ Angles in a triangle add up to 180°
Using this information we can set up an equation to find the value of x
⇒ Form equation using the important angle fact
→ x - 4 + 3x + 100 = 180
⇒ Simplify the 'x' and the numerical terms
→ 4x + 96 = 180
⇒ Minus 96 from both sides to isolate 4x
→ 4x = 84
⇒ Divide both sides by 4 to isolate x
→ x = 21
The value of x is 21
Look at the figure. Name the postulate or theorem you can use to prove the triangles congruent.
Answer:There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
solve for x 5 (x-4)= 4 (x+2)
Answer: X=28
Step-by-step explanation:
A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 60 trials.
What was the relative frequency of selecting a red marble?
Enter your answer in the box to the nearest percent.
Answer:
Step-by-step explanation:
22 percent
22% is the approximate percentage of the relative frequency.
What is relative frequency?Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.
So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:
P = Red marbles / total marbles = 13/60 = 0.22
Normally, relative frequency is shown as a percentage multiplying this result by 100.
Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.
Hence 22% is the approximate percentage of the relative frequency.
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math i need help with this
Answer:
$2.70
Step-by-step explanation:
500 - 1.25 - 1.05 - 100
500- 3.30
2, 70
Answer:
They subtract one of each
to save time just add the all the costs together
1.25+1+1.05=3.3
5-3.3=2.7
$2.70
Hope this helps
Step-by-step explanation:
Enter the difference.
210.03−74.6=
Answer:
135.43
Step-by-step explanation:
Hope this helps! Stay safe and have a wonderful day! Peace! ✌
Answer:
135.43
Step-by-step explanation:
Select all the correct answers.
Henry collects shells from the beach every day he is on vacation. Each day he collects shells, he always collects three times as many white shells as black shells. Which of these ratio statements could compare the number of white shells to black shells Henry collects in one day?
a. For every 12 white shells, there are 4 black shells.
b. For every 15 white shells, there are 3 black shells.
c. For every 26 white shells, there are 8 black shells.
d. For every 27 white shells, there are 9 black shells.
e. For every 21 white shells, there are 7 black shells.
Answer:
a,c, e
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i did this
A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 4 miles to the road each day.
Let I represent the total length of the road (in miles), and let represent the number of days the crew has worked. Write an equation relating to D. Then use
this equation to find the total length of the road after the crew has worked 39 days.
Answer:
4d+56=L
4(39)+56=L
L=212
Step-by-step explanation:
4 miles per day added on to the already existing 56 miles equals the total length.
When subbing in 39 for the number of days (or variable "d" in the equation), and following the order of operations, you get 212 miles of road total at the end of the 39 days.
what is h(12) equal to?
Answer:
Human Adenovirus Type 12 (microbiology)
Step-by-step explanation:
Find the inverse of a quadratic. Find the inverse of the function y = x2 – 12.
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: y = x^2 – 12
1) Interchange x and y: x = y^2 - 12
2) Solve this result for y: y^2 = x + 12. Taking the square root of both sides, we get y = ±√[x + 12].
-1
3) Label this as the inverse function f (x) = +√[x + 12]
Note that if the inverse could take on two different values, then it is not a function. It was for this reason that I eliminated the negative root.
Note that this inverse is valid only for [-12, infinity): this is the domain
Answer:
The answer is B
Step-by-step explanation:
Find areas of the rectangles if their sides have lengths 3 5/7 cm and 10/13 cm
Answer:
44cm
Step-by-step explanation:
This is rounded off.
Rewrite log; x = 4 in exponential form.
(A) X=4
(B) x = 34
(C) 4 = 3
(D) 3=4"
What is
Answer:
Step-by-step explanation
(B) x=34
which best describes how the graph of g(x) =1/9
Answer:
Step-by-step explanation:
i really need help with this
Answer:
480 in^3
Step-by-step explanation:
4*4*5=80
5*10*8=400
400+80=480
Answer:
480 in^3
Step-by-step explanation:
The volume of the large container is
V = l*w*h = 8*10 *5 = 400 in^3
The volume of the small container is
V = l*w*h = 5*4*4 =80 in^3
Add the volumes together
V = 400+80 = 480 in^3
Simplify the expression.
[tex]\sqrt \frac{40}{48}[/tex]
Answer:
Exact Form:
√ 30/6
Decimal Form:
0.91287092
Hope this helps!!!
Pls help with this it is real quick.
Answer:
the first one
Step-by-step explanation:
if you do PEMDAS
then i guarantee that it equals to 10
Find the volume of the prism.
Answer:
C = 210cm^3
Step-by-step explanation:
We can get an estamate when we use the equation L x H x W = x/2
This shows 8 x 8 x 7, then divide by 2 = 224cm^3
The reason it is slightly less could be the facts the teachers want you to remember this one.
For right side prism the equation is (1/2)b x h x H
which means;
The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.
We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.
Answer:
D. 168 units^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
The height of the prism is the distance between the triangular bases, and is 7 units.
The base of the prism is a triangle with base 6 units and height 8 units.
area of triangle = base * height / 2 = 6 * 8/2 = 24 square units
volume of prism = (area of base) * (height of prism)
volume of prism = (24 square units) * (7 units)
volume of prism = 168 cubic units
precalc please help!!!
Answer:
D
Step-by-step explanation:
If sinθ = -2/3, the hypotenuse is 3. Therefore, the answer is either C or D. Then, use the pythagorean theorem to determine the value of the last leg. And the answer is D