Which statement is true? Question 7 options: A) |–3| = 3 and –|–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and |–4| = –4
Answer:
option A is correct
Step-by-step explanation:
mod's has a simple function -
if |x| is given it simply means that the value of "X" can't be negative
Option A is correct, |–3| = 3 and –|–4| = –4 is true statement.
What is Number system?A number system is defined as a system of writing to express numbers.
The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
|-x|=x
For option A
|–3| = 3 and –|–4| = –4 is true
For option B
|–3| = 3 and –|4| = 4 is not true because –|4| is -4.
For option C
–|3| = 3 and |4| = 4 is not true because –|3| is -3
For option D
|–3| = 3 and |–4| = –4 is not true because |-4| is 4
Hence, option A is correct, |–3| = 3 and –|–4| = –4 is true statement.
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Point slope form: y - y1 = m(x - x1)
y1 = y-point
m = slope
x1 = x-point
Using what we wrote above, we can solve the question.
y1 = -2
m = -2/3
x1 = 4
Therefore, the point is (4, -2) and the slope is -2/3
Best of Luck!
What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis
Answer:
[tex]\theta = 148.8[/tex]
Step-by-step explanation:
Given
[tex]R_x = -419[/tex]
[tex]R_y = -253[/tex]
[tex]R = 490[/tex]
Required
Determine the value of [tex]\theta[/tex]
Since, [tex]\theta[/tex] is counter clockwise from x axis;
The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is
[tex]cos\theta = \frac{R_x}{R}[/tex]
Substitute values for Rx and R
[tex]cos\theta = \frac{-419}{490}[/tex]
[tex]cos\theta = -0.8551[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(-0.8551)[/tex]
[tex]\theta = 148.770784108[/tex]
[tex]\theta = 148.8[/tex] (Approximated)
every square root is a rational number true or false
Answer:
False
Step-by-step explanation:
The principal square root of most numbers is an irrational number with an infinite decimal expansion.
Not every square root is irrational but the statement says EVERY so false.
Hope I helped!
Please label mine as brainliest!
Answer:
False
There can be irrational numbers too. Complex, even. Also, Imaginary.
A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67
Answer:
velocity of the car is 16.667
Step-by-step explanation:
first
changing si unit of both km and hrs into meter and second
then
v= m/s
v=240000/14400
v= 16.667m/s
Answer:
answer
Step-by-step explanation:
Velocity equals distance divided by time.
240 km divided by 4 h
Velocity equals 60 km/h W
The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Answer:
8307 dhdhdhsjs
Step-by-step explanation:
vahahahwhahehe
Answer: 8,307$
Step-by-step explanation:
279$ x 15 = 4185$
229$ x 18 = 4122$
4185$ + 4122$ = 8,307$
21-7x=7(3-x)
Solve this please!!!!!!!!!!
Answer:
All real numbers
Step-by-step explanation:
21 - 7x = 7(3 - x)
21 - 7x = 21 - 7x
Since both sides of the equation are equal, the answer is all real numbers.
[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]
Find the base for the following items.
4 is 1% of what number?
Answer:
400
Step-by-step explanation:
You run 1/12 miles in 1/2 minutes. How many miles per hour do you run?
Answer:
10 miles per hour
Step-by-step explanation:
1/12 miles
------------------
1/2 minute
1/12 ÷1/2
Copy dot flip
1/12 * 2/1
1/6 miles per minute
We need to convert minutes to hours
1 hours = 60 minutes
1/6 miles / minutes * 60 minutes/ hour
= 60/6 miles per hour
10 miles / hour
Find the value of x for which l is parallel to m. The diagram is not to scale.
Answer:
x= 41
Step-by-step explanation:
3x-43= 80 is the equation since they are alternate interior angles.
Step 1- Add 43 to both sides.
3x-43= 80
+43 +43
Step 2- Divide both sides by 3.
3x= 123
3 3
x= 41
The given angles are the alternate interior angles formed by a common
transversal to two parallel lines.
The value of x for which line l is parallel to line m is c. 41°.
Reasons:
When line l is parallel to line line m, we have;
The alternate interior angles will be equal
Therefore;
(3·x - 43)° = 80°
Which gives;
[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]
The value of x is 41°Learn more here:
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one solution to a quadratic function is -4+7i, what is the other solution?
Answer:
-4 - 7i
Step-by-step explanation:
If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.
Assuming the coefficients of the quadratic function are real, then the other solution is
-4 - 7i
If
3x^2+ 9x + 11
X – 1 =
3x2 + 3x + a + 23
X-1
what is the value of a?
Answer:
a = -6 - 6x + 3x^2
Step-by-step explanation:
factorize6 + 13mn + 7mn?
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
what is 4+7 im having a hard time in 2nd grade
Answer: 11
Step-by-step explanation: 7+1+1+1+1 = 11
7 8 9 10 11
What is the prime factorization of 36
Answer:
[tex]2^{2} x 3^{2}[/tex]
Step-by-step explanation:
Answer:
2^2*3^2
Step-by-step explanation:
You can break down 36 through ways down to its prime factors through multiple ways like a facor tree
36
4 9
2 2 3 3
Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.
There are 38 cars parked in the parking structure the parking structure is nor full to. Capacity there are 13 parking spaces that are empty what is the ratio of available parking spaces to parked cars
Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.
Step-by-step explanation:
Answer the following questions using the table below.
-2
-1
0
-10
-8
-6
-4
1
Is this a linear function?
<
What is the slope?
h
What is the y-intercept?
What is the equation of the linear function?
Answer:
the - are the x or y
Step-by-step explanation:
Solve for k.
k/4 + 8 = 12
Answer:
k = 16
Step-by-step explanation:
To solve this we must isolate k. Let's first simplify this equation by subtracting 8 from both sides:
k/4 = 4
Next, remove the fraction by multiplying both sides by 4:
k = 16
Which inequality best represents the Domain of the part show ?
a) y_>4.5
b) x_>4.5
c) y_> -2
d) x_>-2
Answer: D) [tex]x \ge -2[/tex]
==================================================
Explanation:
The domain is the set of all allowed x inputs.
The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.
The largest input has no restriction since it grows forever toward the right (due to the arrow).
So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.
-----------------
Extra info:
In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.
cube-shaped art sculpture has a volume of 64 cubic
eet. What is the length of each edge of the cube? How can you find the cube root 64?
1.PS-9
Question Help
You want to buy some noodles. A 6-ounce package costs $2.22. A 15-ounce package costs $5.85. A
26-ounce package costs $9.36. Which package is the best buy?
The
-ounce package of noodles is the best buy.
(Number 5)help plzzz
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]
First, simplify √8. This is the same as:
[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
Therefore, our equation is now:
[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]
Combine like terms on the left:
[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]
The square root of something is the same as taking that number to the one-half power. Thus:
[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]
Rewrite:
[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]
And we're done!
I didn’t post the question I’m sorry but helppp :cc
A manager believes a new advertising campaign will increase sales by 40%. If current sales are 3,500 units how many total units does the manager expect to sell after launching the campaign?
Answer: 5,400 units
Step-by-step explanation:
if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units
I NEEF A FAST ANSWED
Answer:
y value
Step-by-step explanation:
bc it is xiydid5is5is58w
Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)
Answer:
(-1, 2)
Step-by-step explanation:
The midpoint coordinates are the average of the end point coordinates:
M = (A +B)/2
M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)
The midpoint is (-1, 2).
Choose the algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height.
a (1/2)(5h)(h – 4)
b (1/2)(5b + 4)(b)
c (1/2)(5h – 4)(h)
Answer:
c (1/2)(5h – 4)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height of the triangle = h
Base 4 inches less than 5 times wider than the height.
Base of the triangle = 5h - 4
Area of a triangle = 1/2 × base × height
= (1/2)(5h-4)(h)
The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)
Option C is the correct answer
Answer:
c
Step-by-step explanation:
i had this same question a while ago
Earth is 149 597 890 km from the sun. Pluto is about 39.5 times farther away from the sun than earth. how far is pluto from the sun? round your answer to three digits and express it in scientific notation.
Answer:
39.5 astronomical units
help plz I GIVE OUT BRAINIEST!
He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...
100 meters = 9.63 seconds
10.384 meters = 1 second (divide both sides by 9.63)
37382.4 meters = 3600 seconds (multiply both sides by 3600)
37382.4 meters = 1 hour
His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr
Answer: his speed is less than the speed limit 25 mphany help please, asap
J = 0 because it is the midpoint of K and P.
Since we know that K is at -5 and P is at 5, KP = 10
Both KP and JQ are equal to 10, therefore, they are equal.
Answer:
14. j=0
15. KP=10
16. yes
Step-by-step explanation:
(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)
14.:
If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because
Q-P=5 and 5*2= J
So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.
15.:
Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.
16.:
Since KP = 10 and JQ = 10, then yes, they are the same.