Step-by-step explanation:
Find the slope of AB
: The slope is
[tex] \frac{7 - 0}{3 - 8} = - \frac{7}{5} [/tex]
Find the y intercept by plugging coordinates in
[tex]0 = - \frac{ 7}{5} (8) + b[/tex]
[tex]0 = \frac{ - 56}{5} + b[/tex]
[tex]b = \frac{56}{5} [/tex]
Find CD: We know that AB and CD are parallel to each other so this means they both have the same slope.
We can find the next point by subtracting 7 from the y coordinate of Point D, Adding 5 to the x coordinate of Point D.
Point C=(10,-2).
Find the y intercept by a plugging coordinates in
[tex] 5 = - \frac{7}{5} (5) + b[/tex]
[tex]5 = - 7 + b[/tex]
[tex]12 = b[/tex]
So the Equation of Line CD is
[tex] - \frac{7}{5} x + 12[/tex]
Can someone help me out
Answer:
34
Step-by-step explanation:
Perimeter,
2×(8+5+4)
= 34 units
Answered by GAUTHMATH
Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.
The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5
Given that
[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]
Now following calculations to be done to reach the conclusion:
There is no false positive as
= 100 - 5.5
= 94.5%
[tex]\hat P =0.945, n = 12[/tex]
Now
[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]
So
P value = P(z >3.08) = 0.0010
Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5
Learn more about the polygraph test here:
brainly.com/question/3790493
8^x times 2^(4-x) = 1
Find x.
With detailed steps.
Answer: x= -1
Step-by-step explanation:
In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have
4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.
Answer:
[tex]\dfrac{x}{2} = 18.8[/tex]
Step-by-step explanation:
Let x represent the number Dan was thinking about.
Half of the number, x = 18.8
Therefore, when x is divided by 2, the result is 18.8
The equation which can be formed with the given information is therefore;
[tex]\dfrac{x}{2} = 18.8[/tex]
In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8
Answer:
the answer will be 1 on the basis of the option
Step-by-step explanation:
and other are 7 5
Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear
Answer:
b
Step-by-step explanation:
The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.
Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9
Answer:
3*6 × 3*-3 × 3*6
3*(6-3+6)
3*9
WILL MARK BRAINLEST!!Use the remainder theorem to find T(2) for T(x)= 3x3 - 2x2 - 6x -5.
A) -21
B) -1
C) 21
D) 1
Answer:
B
Step-by-step explanation:
T(x)=3x³-2x²-6x-5
T(2)=3(2)³-2(2)²-6(2)-5
=24-8-12-5∵
=-1
Given the circle, find the arc measure
Answer:
130°
Step-by-step explanation:
Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Carlos and his friend are sharing some leftover pasta. If 1/4 of the pasta is left, how much will they each get?
Answer:
1/8 of the whole pasta or 1/2 of what's left
Answer:
each of them would get an 1/8 (if it is 2 people)
Step-by-step explanation:
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
Which of the following is 1 2 over 4 in its simplest form?
Answer:
its 3
Step-by-step explanation:
3 is your answer I hope this help
Answer:
i don' know
Step-by-step explanation:
solve the inequality and graph the solution
-5-7x < -40
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
-1/2(6x+10)=13 please help I’m a lil confused on it
Answer:
x=-6
Step-by-step explanation:
-1/2(6x+10)=13
Distribute
-3x -5 = 13
Add 5 to each side
-3x-5+5 = 13+5
-3x = 18
Divide by -3
-3x/-3 = 18/-3
x=-6
3. What is the solution to the equation x3 = = 216
A. 72
B. 27
C. 8
D.6
Answer:
I assume that the question is [tex]x^{3} = 216[/tex]
6 * 6 = 36 35*6 = 216
in other words 6*6*6 = 216
Step-by-step explanation:
in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students
Answer:
Step-by-step explanation:
150% = 150 ÷ 100 150% = 1.5
Factorise.. 25a sq. - 9b sq. please tell the answer
Answer:
(5a + 3b)(5a - 3b)Step-by-step explanation:
Given,
[tex] {25a}^{2} - {9b}^{2} [/tex]
[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]
Since,
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Then,
= (5a + 3b)(5a - 3b) (Ans)
Help please, I need with the question
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]
Answer:
PLM=4/3
Step-by-step explanation:
PLS HURRY!! PLS
solve:-10k2+7
Answer:
Degree: 2
Polynomial type: Quadratic
Step-by-step explanation:
One is asked to identify the degree and type of polynomial when given the following expression:
[tex]-10k^2+7[/tex]
The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.
HELP ASAP!!!
Find the length of AB.
6 in
30°
В
AB = [? ]in
Answer:
30/360 ×π r^2 = AB
AB = 30 /360 × π ×6^2
AB = 9.42 IN
Find the missing length the triangles are similar.
Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
Fill in the missing statements and reasons in the proof
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
Can someone verify if this is correct?
I used cosec because the others didn’t work
solve for y.
y + 5.74 = 9.62
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?
Help! Homework due at 6:30 help ASAP! Thank you!
25%
Step-by-step explanation:
# of non-fiction books ÷ # of total books = percentage of non-fiction books
4 non-fiction books + 12 fiction books = 16 total books
4 non-fiction books divided by 16 total books = percentage of non-fiction books
4÷16= 0.25
0.25 x 100 = 25%
Answer: 0.48 percent
Step-by-step explanation: