Answer:
y = 2x - 4 (the slope is 2 or 2/1 and the y-intercept is -4)
Step-by-step explanation:
Subtract 14x from both sides of the equation.
This should get you -7y = 28 - 14x.
Then you need to divide by -7 on both sides.
y = -4 + 2x is the result
which you can switch around if you like and get y = 2x - 4
Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!
Answer:
[tex]d=\sqrt{149}\approx12.21[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the two points (-1, 7) and (-8, -3).
Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-8-(-1))^2+(-3-7)^2}[/tex]
Evaluate:
[tex]d=\sqrt{(-8+1)^2+(-10)^2}[/tex]
Evaluate:
[tex]d=\sqrt{(-7)^2+(-10)^2}[/tex]
Square:
[tex]d=\sqrt{49+100}[/tex]
Add:
[tex]d=\sqrt{149}\approx12.21[/tex]
This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.
Write the decimal expansion for 4/9
Answer:
0.44444444
Step-by-step explanation:
Answer:
the decimal expansion of 4/9 = 0
Step-by-step explanation:
In tryouts for the olympics a speed skater had times of 44,64,43,45,42,79 and 4,228 seconds find the average time add numbers
Answer:
[tex]Average = 43.29[/tex]
Step-by-step explanation:
Given
Time: 44.64,43.45,42.79 and 42.28
Required
Determine the average time
Average or mean is calculated as thus;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where
[tex]\sum x[/tex] = sum of observation
n = number of observation = 4
[tex]Average = \frac{44.64 + 43.45 + 42.79 + 42.28}{4}[/tex]
[tex]Average = \frac{173.16}{4}[/tex]
[tex]Average = 43.29[/tex]
Hence, the average time is 43.29
PLEASE HELP FAST
Which model represents the product Three-fourths times one-third ?
Answer:
the last one yw :)
Step-by-step explanation:
21. © MP.2 Reasoning Four teams are
tidying the Green trail. They will each
tidy an equal distance. How many miles
does each team tidy?
Answer:
See Explanation (Incomplete Question)
Step-by-step explanation:
The question is incomplete as the distance of the Green tail is not given.
Given
[tex]Teams = 4[/tex]
Required
Determine the distance covered by each
Since each team would cover the same amount of distance, the distance covered by each is the total distance divided by 4.
In other words,
[tex]Each = \frac{Total\ Distance}{4}[/tex]
Assume the total distance of the green tail is 9 miles, the distance by each would be:
[tex]Each = \frac{9}{4}[/tex]
[tex]Each = 2.25\ miles[/tex]
z = -3a + 1
Solve for a
Thanks
Answer:
z-1/-3
Step-by-step explanation:
z-1=-3a
z-1/-3=a
true or false: when you dilate a figure, the coordinates are multiplied by the scale factor
Answer:
True
Step-by-step explanation:
What is the measure of the angle x?
Answer:
30 degrees
Step-by-step explanation:
Brainliest me
Answer:
40
AB=AOB÷2
and AB=ACB
so AB= 80÷2
AB=40
Draw a line representing the rise and a line representing the run of the run. State the slope of the line in simplest form.
10. Which is the best estimate of the product of
13 and 49?
A 60
© 500
® 400
0 600
The scatter plot shows the average monthly outside temperature and the monthly
electricity cost
Based on the scatter plot, what is the best prediction for the electricity cost if the
temperature for the month is 21°C?
$450
$500
$600
$700
Answer:
600 is the answer
Step-by-step explanation:
I literally just took the test! Hope dis helps.
Answer:
600
Step-by-step explanation:
I took this test on USA test prep and got this question it correct
Find the vector that has the same direction as 3, 2, −6 but has length 2.
Answer:
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
Step-by-step explanation:
We can determine the equivalent vector ([tex]\vec r[/tex]), dimensionless, by means of the following formula:
[tex]\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\|[/tex] (1)
Where:
[tex]\vec u[/tex] - Original vector, dimensionless.
[tex]\|\vec u\|[/tex] - Norm of the original vector, dimensionless.
[tex]\|\vec r\|[/tex] - Norm of the new vector, dimensionless.
The norm of the original vector is determined by the following definition:
[tex]\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u}[/tex] (2)
If we know that [tex]\vec u = (3, 2, -6)[/tex], then the norm of the original vector is:
[tex]\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}[/tex]
[tex]\|\vec u\| = 7[/tex]
If we know that [tex]\|\vec r\| = 2[/tex], then the new vector is:
[tex]\vec r = \frac{2}{7}\cdot (3,2,-6)[/tex]
[tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex]
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
What is the solution to 8x-3(2x-4)= 3(x-6
)
Answer:
x = 30
Step-by-step explanation:
8x - 3(2x - 4) = 3(x - 6)
Distribute te -3 on the left, and the 3 on the right
8x - 3(2x - 4) = 3(x - 6)
8x - 6x + 12 = 3x - 18
Simplify
8x - 6x + 12 = 3x - 18
2x + 12 = 3x - 18
Inverse operations
2x + 12 = 3x - 18
-2x -2x
12 = x - 18
+18 +18
30 = x
The current of Cache Creek has speed 2 mph. It takes a small boat a total of 4 hours to travel 12 miles upstream and 12 miles back. Find the speed of the boat in still water. If your answer is not an integer, round it off to two decimal places.
Answer:
6.61 mph
Step-by-step explanation:
Speed of current; c = 2 mph
Total time to travel upstream and back; t = t1 + t2 = 4 hours
Let x represent speed of the boat in still water
Then the actual speed of the boat when going upstream is x - 2, and the actual speed when going downstream downstream is x + 2.
We know that; distance = speed x time, Thus;
For the upstream trip;
12 = (x - 2)t1
t1 = 12/(x - 2)
For the downstream trip;
12 = (x + 2)t2
t2 = 12/(x +2)
Adding both equations, we have;
t1 + t2 = (12/(x - 2)) + (12/(x +2))
4 = (12/(x - 2)) + (12/(x +2))
Multiply through by (x - 2)(x + 2)
4(x - 2)(x + 2) = 12(x + 2) + 12(x - 2)
4x²- 16 = 12x + 24 + 12x - 24
4x² - 16 = 24x
4x² - 24x - 16 = 0
Using quadratic formula, we have;
x ≈ 6.61 mph
12 / 0.96 please answer this i need it
Answer:
12.5
Step-by-step explanation:
If 3x−y=12, what is the value of
8x/2y?
A) 212
B) 44
C) 82
Answer:
[tex]\frac{8^x}{2^y} 2y=2x^{12}[/tex]
Step-by-step explanation:
Since the numerator and denominator have a common base, this expression can be rewritten as 2(3x−y).
substitute 12 for the exponent, 3x−y and you will get A
Answer:
The answer is A [tex]2^{12}[/tex]
Step-by-step explanation:
Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of
[tex]\frac{8x}{2y}[/tex]
gives you
[tex]\frac{8x}{2y} 2y=2x^{12}[/tex]
Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.
can you substarct in any order?
Answer:
No
Step-by-step explanation:
In subtracting, you must start with the larger number
FIRST ONE I WILL MARK BRAINLEST I PROMISE!
Answer:
9
Step-by-step explanation:
Answer:
i think its negative 9 because The absolute value of −9 is 9
Step-by-step explanation:
have a great day!
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP!!!!!)
Solve seven times three and one fifth.
A) twenty two and one fifths
B) twenty two and two fifths
C) twenty two and three fifths
D) twenty two and four fifths
Answer:
B
Step-by-step explanation:
3 1/5 x 7/1
(3 x 5) + 1 = 16/5
16/5 x 7/1 = 112/5.
112 ÷ 5 = 22 2/5
so its B.
Answer:
22 2/5, twenty two and two fifths, B.
Step-by-step explanation:
7 * 3 1/5
To make it simpler, convert 3 1/5 into a mixed number.
3 1/5 = 15/5 + 1/5 = 16/5
Now, it's 7 * 16/5
Next, to prevent confusion, convert 7 to a mixed fraction as well.
7 = 7/1 (also known as a rational number.)
now it's 7/1 * 16/5
Simply multiply 7 * 16 and 1 * 5, which results in
112/5
The answer is a mixed number, and you want to simplify it as much as possible,
112/5 is 5 going into 112 with it's highest factor.
5*22 is 110, which is the highest factor that can go into 112.
now 22 can be the whole number, and the remaining numbers in the part over whole fraction stays put. Basically, you subtract the numerator of the mixed number with the highest factor that the denominator can fit into the numerator. (112-110 = 2)
So, the answer is 22 2/5, B. (cannot be further simplified.)
A quadrilateral has two angles that measure 110° and 140°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?
Convert the following equation to standard form: y= - 3/4x + 2
Answer:
3x + 4y = 8
Step-by-step explanation:
Slope intercept form: Standard form:
y = mx + b Ax + By = C
y = -3/4x + 2 y = -3/4x + 2 add 3/4x to both sides
3/4x + y = 2 multiply by 4
3x + 4y = 8
If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?
A - 12
B - 24
C - 6
D - 8
1/√10. Rationalise the denominator and simplify
Answer:
√10/10
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Hope this helps!! Please consider marking brainliest! Have a good one!!
Answer:
√10 / 10
Step-by-step explanation:
1/√10
To rationalize the denominator we need to get rid of any √ in the denominator. we do this by multiplying both sides by the square root:
1/√10 * √10/√10 = √10 / 10
what number is 40% of 160
Answer: 64
Step-by-step explanation:
Help me pleaseee (you could just tell me the points or something)
Solve y = x + 8 for x.
Answer: y-8= x
Step-by-step explanation:
Mia, Jan, and Eva are sisters. Their combined ages are 44. Mia is 4 years older than Jan. Eva is 5 years younger than Jan. Which system of equations could be used to find Mia’s age?
Let x = Mia’s age, y=Jan’s age, and z=Eva’s age
In 2004, an art collector paid $ for a particular painting. The same painting sold for $ in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950.
Answer:
The value of k is 0.149.
Step-by-step explanation:
The complete question is:
In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting’s value, in dollars, t years after 1950.
Solution:
The exponential growth function can be expressed as follows:
[tex]y=a\cdot e^{kt}[/tex]
y = Final value after t years
a = initial value
It is provided that:
y = $84,275,000
a = $27,000
The value of t from 1950 to 2004 is, t = 54
Compute the value of k as follows:
[tex]y=a\cdot e^{kt}[/tex]
[tex]84,275,000=27,000\times e^{54k}\\\\e^{54k}=\frac{84275000}{27000}\\\\54k=\ln (\frac{84275}{27})\\\\k=\frac{1}{54}\times \ln (\frac{84275}{27})\\\\k=0.149[/tex]
Thus, the value of k is 0.149.
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
six and two thirty thirds kilometers
five and twenty five thirty thirds kilometers
six and twenty five thirty thirds kilometers
six and twenty thirty thirds kilometers
please help will give brainlyest
Answer: I am pretty sure its C i hope this helps :D
Step-by-step explanation:
Answer:
d
Step-by-step explanation: