Step-by-step explanation:
4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0
∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5
x = (-(-3) ± √5)/2(1) = (3 ± √5)/2
x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)
Plz answer I’ll mark brainliest . In each of the circles below, four angles are formed by the intersection of two secant lines.
The measures of two intercepted arcs and one angle are shown for the first three circles.
Which equation could be solved to find an expression that represents the measure of qs in
degrees?
9514 1404 393
Answer:
B
Step-by-step explanation:
The angle where the chords cross is half the sum of the intercepted arcs. The expression below says that. It is the 2nd choice.
please help me! no links please im begging u ;(
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The angle between the tangents is the supplement of the intercepted arc:
x° = 180° -110°
x° = 70°
__
Alternate solution
The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...
x° = (250° -110°)/2 = 140°/2
x° = 70°
__
If you work this alternate solution generically, you find it is the same as the first solution.
x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB
PLEASE HELP. I NEED ALL!!!!
y=6x if x = 1
y=6x if x = 2
y=6x if x = 3
y=6x if x = 4
y=.5x if x = 1
y=.5x if x = 2
y=.5x if x = 3
y=.5x if x = 4
y=-0.2x if x = 0
y=-0.2x if x = 1
y=-0.2x if x = 2
y=-0.2x if x = 3
-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
These triangles
are congruent
by the triangle
congruence
postulate [? ].
A. SAS
Answer:
SAS
Step-by-step explanation:
ITS CORRECT CUZ SAME ANGLE, AND TWO OF THE SAME SIDES
Click or tap the location where the first dot should be
placed.
CI
Answer:
C.I
Step-by-step explanation:
Answer:
two on the top
one to the left
two to the right
two on the bottom
Step-by-step explanation:
Brainliest if its correct :)
A new pair of sneakers is on sale for $99. They were 10% off the original price. What was the original price?
Find the vertex and focus of the
parabola.
y2 – 12y + 4x + 4 = 0
Answer:
t y = 6 and x = 8, or the vertex is at (8,6).
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
[tex]y = -8x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope [tex]\frac{1}{8}[/tex]
So, for the line we want to find the equation, we have that:
[tex]\frac{m}{8} = -1[/tex]
[tex]m = -8[/tex]
So
[tex]y = -8x + b[/tex]
Find the equation of the line through point (1,−5)
This means that when [tex]x = 1, y = -5[/tex]. We use this to find b. So:
[tex]y = -8x + b[/tex]
[tex]-5 = -8 + b[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -8x + 3[/tex]
URGENT! pls help and give a explanation. if you do i’ll mark brainliest !!
Answer:
i think ur right but i dont know for sure i did the math and got that
Step-by-step explanation:
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
I mark brainliest 5+5
Answer:
5+5 is 10 lol but thanks I guess
Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help Help fast help fast help
Answer:
The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one The last one :)
Step-by-step explanation:
Which situation can be represented by the equation 4x=32
A-Barry has $32 and can spend it on 4 different items. How much money does he have left over?
B-Hailey needs to make $32 dollars this week. She gets 4 dollars per chore she does. How many chores, X, does she need to do to get $32?
C-Emberly has to finish 32 paper by friday. If each paper take 4 minutes, how many minutes will take her to finish?
Answer:
8
Step-by-step explanation:
4x=32
÷4 ÷4
__________
x=8
Would you rather receive $1,000 a year for 10 years or $800 a year for 15 years if the interest rate is 5%? What if the interest rate is 20%? (LOS-3)
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.
Which is the endpoint of a ray?
point R
point S
point T
point U
Answer:
point s
Step-by-step explanation:
the other three lines continue infinitely
The endpoint of a ray based on the information given is B. point S
What is an endpoint?It should be noted that the endpoint simply refers to the straight lines that connect two points.
From the information and diagram given, a line extends right and up from point S through point U.
Therefore, endpoint of a ray based on the information given is point S
Learn more about endpoint on:
brainly.com/question/7153208
#SPJ9
Open the Screenshot to see the problem
Solve either of the correct equations using any method. Round to the nearest whole number d= Days
Answer:
7 days mate
Step-by-step explanation:
Too lazy, solve it yourself
express T¹ in terms of S¹ 3+7+11+15+19+23+27
Find the area of a circle with radius 86cm give your answer rounded to 3 SF
Matthew has two kinds of rice shown in this table.
Rice
Brown:Amount (cups)
8 7/8
White: 6 3/4
How much more brown rice than white rice does Matthew have?
cups
ANSWER PLS
I will make Brainlyest
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:
79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8
If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).
Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.
Answer:
a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385
The point estimate for the mean used is the sample mean
b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N
c. The point estimate of the population variance is approximately 2.8577
The point estimate for the population standard deviation is approximately 1.6905
d. The standard error of the mean is approximately 0.3315
e. The point estimate of a proportion of the connectors are;
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Step-by-step explanation:
The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;
Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;
[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]
[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6
n = The sample size = 26
Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385
The point estimate for the mean is approximately 75.7385
The sample mean was used as the point estimate for the mean because it is simple and representative of the sample
b. The weakest 50% of the connectors are;
72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3
The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex] = 966.2
The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N
c. The estimate of the population variance is the sample variance, given as follows;
[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]
Where;
[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415
Therefore;
[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]
The point estimate of the population variance, s², is 2.8577
The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;
s = √s² = √2.8577 ≈ 1.6905
The point estimate for the population standard deviation ≈ 1.6905
d. The standard error of the mean is given as follows;
[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]
Therefore, we have;
[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315
The standard error indicates the likely hood of the difference between the sample mean and the population mean
e. The point estimate of a proportion of the connectors are;
(Number of sample with a given pull-force value)/(Sample size (26))
Therefore, using Microsoft Excel, we have
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Please help easy points
Answer: 2/6
Hope this helps
Step-by-step explanation:
Answer:
8/3
Step-by-step explanation:
2/3 is .6666666
and the 2 can become 6/3 so just add the values together to get
8/3
8+[5×6]= i need answer asap pls
Answer:
38
Step-by-step explanation:
Follow orders of operations.
Slove the expression in the parenthesis or brackets whatever, same thing.
5*6=30
Now add
30+8=38
Answer: in order of pemdas you would do 5x6 first which is 30 and then add 8 so it’s 38
Step-by-step explanation:
(2/5)p=14
Mike sold y boxes of cookies for $5 each. He made at least $200.
What’s the least amount of boxes of cookies he sold?
Answer: 1 =5$
200$=40
Step-by-step explanation:
Answer:
40 boxes
Step-by-step explanation:
200 = 5x
x = 40
What is the correct answer?
Answer:
i
Step-by-step explanation:
dontkow
A ramp rises 4 ft. and makes a 20 degree with the ground. How
long is the ramp?
Answer:
P = 1.36 feet
Step-by-step explanation:
Given that,
Height of ramp, H = 4 ft
The ramp makes an angle of 20 degree with the ground.
We need to find the length of the ramp.
The height of the ramp is the hypotenuse and the length of the ramp is perpendicular of the right angled triangle. Using trigonometry to find the length of the ramp i.e.
[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=4\times \sin(20)\\\\P=1.36\ ft[/tex]
So, the length of the ramp is equal to 1.36 feet.
how to divide m96 in the ratio 5:7
Hey! I dont know if this will help though
To solve this question, you must first add together the two halves of the ratio i.e. 4 + 2 = 6. Then you need to divide the total amount using that number i.e. 600/6 = 100. To work out how much each person gets, you then multiply their share by 100.