Answer:
D) -4 (with imaginary roots ±2i)
Step-by-step explanation:
Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.
how can i solve this problem if its congruent or not
9514 1404 393
Answer:
∆BCR ≅ ∆BAR
x = 6
Step-by-step explanation:
For congruence, define point R where the altitude line meets segment AC.
The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...
∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate
__
To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.
x² +8² = 10²
x² = 100 -64 = 36
x = √36 = 6
The length of x is 6 units.
_____
As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)
You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.
5/x=7/x-4
pls help me with this problem if u help i willl heart and follow you
Answer:
5/x = 7/x-4
5(x-4) = 7(x)
5x - 20 = 7x
5x - 7x = 20
-2x = 20
x = -20/2 = -10
Solve the system of equations using linear combination. -4x+y=10 -2x-y=-1
Answer: look at the picture
Step-by-step explanation: Hope this help :D
help please thank you
Answer:
i think its 8r^4
hope this helps
Step-by-step explanation:
A long history of testing water samples in a certain lake has shown that the level of a certain pollutant is approximately normally
distributed with standard deviation 4.5 mg/L. What is the minimum number of samples required to estimate today's level to within 0.4
mg/L with 95% confidence? (Don't forget to round Zc to two decimal places!)
Answer:
The minimum number of samples required is 487.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation 4.5 mg/L.
This means that [tex]\sigma = 4.5[/tex]
What is the minimum number of samples required to estimate today's level to within 0.4 mg/L with 95% confidence?
This is n for which M = 0.4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.4 = 1.96\frac{4.5}{\sqrt{n}}[/tex]
[tex]0.4\sqrt{n} = 1.96*4.5[/tex]
[tex]\sqrt{n} = \frac{1.96*4.5}{0.4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*4.5}{0.4})^2[/tex]
[tex]n = 486.2[/tex]
Rounding up
The minimum number of samples required is 487.
v ÷ 2= Algebra mathematics
Answer:
V/2 is the answer.
Step-by-step explanation:
V2 is V * 2, which is the opposite of what you want.
which table has a constant of proportionality between y and x of 1/5? (from khan academy)
A.x-y
2-4/5
7-14/5
12-24/5
B.x-y
8-8/5
9-9/5
10-2
C.x-y
3-16/5
5-26/5
7-36/5
Answer:
C
Step-by-step explanation:
Solve for each choice until you get the answer 1/5.
A.
2 - 4/5
10/5 - 4/5 = 6/5; this is not 1/5
B
8 - 8/5
40/5 - 8/5 = 32/5; this is not 1/5
C
3 - 16/5
15/5 - 16/5 = -1/5
5 - 26/5
25/5 - 26/5 = -1/5
7 - 36/5
35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5
1. A rectangle has an area of 12 m2 and a width
of 400 cm. What is the length of the rectangle?
A. 3 cm
B. 30 cm
C. 300 cm
D. 3000 cm
Answer:
L = 3 cm
Step-by-step explanation:
let lenght be L
First convert area in cm
1 m = 100 cm
12 m = 1200 cm
Area of rectangle = width x lenght
1200 cm = 400 cm x L
1200 /400 = L
3 cm = L
Ben is throwing a ball across a 48-yard field. He threw it of the way across the field. How far did Ben throw the ball?
Answer: He threw it 48 yards
Step-by-step explanation:
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
Which statement can be used to find X
Answer:
it's letter D. cos 16⁰=²¹--x
The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
Solve the inequality for w.
4+4ws-16
Simplify your answer as much as possible.
Answer:
The answer is 4ws - 12
Step-by-step explanation:
1) Collect like terms.
[tex]4ws + (4 - 16)[/tex]
2) Simplify.
[tex]4ws - 12[/tex]
therefor, the answer is 4ws - 12.
PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?
3
-21
8
х
10
N
3
-1
-7
-4
-3
-1
.
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
[tex]-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right][/tex]
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
If a model car has a scale of 3in.: 5ft., what would be the length of the model be if the actual car was 15 ft. long?
set up the ratios:
3/5 = x/15
Cross multiply:
45 = 5x
Divide both sides by 5:
X = 9
The model would be 9 inches long
Answer:
120ft
Step-by-step explanation:
The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate data set with 20 values. Alice claims that a sample size of 25 will produce a narrower interval, all other things remaining the same. Desmond claims that a sample size of 15 will produce a narrower interval. Which statement is true about the claims made by Alice and Desmond?
a. Alice’s claim is correct.
b. Desmond’s claim is correct.
c. Both Alice’s claim and Desmond’s claim are correct.
d. Neither Alice’s claim nor Desmond’s claim is correct.
e. There is not enough information to determine whether the claims are correct.
Answer:
a. Alice’s claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.
Alice claims that a sample size of 25 will produce a narrower interval
25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.
Desmond claims that a sample size of 15 will produce a narrower interval.
15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.
So the correct answer is given by option a.
The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units
Answer:
27 cubic units
Step-by-step explanation:
A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units
What is the value of x?
5x-27/-3=-6
Solve for x
Answer:
9
Step-by-step explanation:
5x - 27 / - 3 = - 6
5x - 27 = - 6 x ( - 3 )
5x - 27 = 18
5x = 18 + 27
5x = 45
x = 45 / 5
x = 9
GIVING EVERYTHING IF CORRECT. NO MORE LINKS.
I think the answer is C
The figure shown consists of a rectangle and quarter circle ?
Answer:
Can I have the numbers???
Step-by-step explanation:
Is the following number, rational, irrational, or nonreal?
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]
Convert [tex]1\frac{3}{4}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]
7/4 x 1/3 = 7/12
Is 4/5 closer to 0,1/2, or 1?
Answer:
1
Step-by-step explanation:
4/5 is closer to 1
Help needed , I don’t understand
Hello!
This problem is about relating parallel and perpendicular lines with a given point.
What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.
Using this information, let's look at the first part.
We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].
Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.
[tex]y=6x+b[/tex]
[tex]-3=6(4)+b[/tex]
[tex]b=-27[/tex]
So the line would be [tex]y=6x-27[/tex].
Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.
We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.
[tex]y=-\frac{1}{6}x+b[/tex]
[tex]-3=-\frac{1}{6}(4)+b[/tex]
[tex]b=-\frac{7}{3}[/tex]
So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].
Hope this helps!
pls help help help 11 points also this is mobymax
Answer: 18 + 6a + 6b
Step-by-step explanation:
what is 11 divided by 2872?
Answer:
Step-by-step explanation:
How Do You Know a Solution is a Solution
Solution in terms of general solution of an equation means the final answer that is gotten for solving the equation
Evaluate the function h(x)=−2x+10 when x=3.
Answer:
h(x)=4
Step-by-step explanation:
h(x)=−2x+10
h(x)=−2(3)+10
=-6+10
=4
Find the value of the expression 4d ÷ c + 3 when c = 3 and d = 6
The value of the expression 4d ÷ c + 3 is 11.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
4d ÷ c + 3
Now, for d= 6 and c= 3
we have
4d ÷ c + 3
= 4(6) / 3 + 3
= 4(2) + 3
= 8+ 3
= 11
Hence, the value of the expression is 11.
Learn more about expression here:
https://brainly.com/question/14083225
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