= Knowledge Check
Question 4
Find the slope of the line passing through the points (3, 8) and (7, - 7).
0 0
Undefined
Х
?
Answer:
Slope is -3.
Step-by-step explanation:
The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.
A line is drawn so that it passes through the points
(3, 4) and (4, 1)
What is the slope of the line?
3
-3
1/3
-1/3
Answer:
m= -3
Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\\\left(x_2,\:y_2\right)=\left(4,\:1\right)\\\\m=\frac{1-4}{4-3}\\\\m = \frac{-3}{1} \\\\Simplify\\m=-3[/tex]
13= -2(x+1) + 7x solve for x
Answer:
x=3
Step-by-step explanation:
13= -2 (x+1) +7x (given)
13+-2x - 2 +7x (distributive property of multiplication over addition)
13 + 5x -2 (combine like terms)
15 = 5x (addition property of equality)
3 = x (division property of equality)
Step-by-step explanation:
13=-2x-2+7x
15=5x
x=3
please mark it as brainliast
I need help with the question above please????
Answer:
B
Step-by-step explanation:
x^2=64 is equal to x1= -8 and x2=8. meaning that x^2=64 has two answers and number line B shows both points of -8 and 8.
Answer:
Option B
Step-by-step explanation:
[tex]x^2=64\\\\\sqrt{x}=\sqrt{64}\\\\\boxed{x=8,-8}[/tex]
Number line 'B' has the points on '8' and ''-8'. It represents the solutions for the equation.
Option B should be the correct answer.
Hope this helps.
Find the perimeter of the rectangle.
Answer: 4m²-6m+12 or 2(2m²-3m+6)
Step-by-step explanation:
To find the perimeter, we use the formula [tex]P=2l+2w[/tex]. Since we are given the length and width, you plug them in and solve.
2(6-5m+6m²)+2(2m-4m²) [distribute]
12-10m+12m²+4m-8m² [combine like terms]
4m²-6m+12 or 2(2m²-3m+6)
Now, we know that the perimeter is 4m²-6m+12 or 2(2m²-3m+6).
The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?
Hope it helped
Thank You(HELP ASAP) In basketball tournament, Kayla averaged 12.375 rebounds per game. What is 12.375 written in expanded form?
(2,-1) and (4,0) in slope-intercept form
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (4, 0)
m = [tex]\frac{0+1}{4-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 0 ), then
0 = 2 + c ⇒ c = 0 - 2 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
Which expression has the same value as tan(-45°)?
-tan(45°)
-cot(135°)
-sin(270°)
-cos(180°)
Answer:
I think it's cot(135°)
Step-by-step explanation:
Cot 135° = Cot (π/2 + 45)
and,
Cot (π/2+45)= -tan (45),
because when a trigonometric ratio is impressed by using π/2 the ratio should be changed its opposite like sin value turns into a cos value, tan value turns into cot and vise versa. Then as 135° is in the second sector that means π/2<135°<π. So it should be -tan(45°)
As tan-45°= -tan 45° i think the answer is second one aka cot(135°)
The equivalent expression of tan(-45) is cot(135)
The given trigonometric expression is: tan(-45).
To do this, we make use of the following trigonometry ratio
[tex]\cot (\frac{\pi}{2}+\theta)= -\tan (\theta)[/tex]
Substitute 45 for [tex]\theta[/tex].
So, we have:
[tex]\cot (\frac{\pi}{2}+45)= -\tan (45)[/tex]
In trigonometry, [tex]\frac{\pi}{2} = 90[/tex].
So, we have:
[tex]\cot (90+45)= -\tan (45)[/tex]
Add 90 and 45
[tex]\cot (135)= -\tan (45)[/tex]
Also, we have:
[tex]\tan (-45)= -\tan (45)[/tex]
So, the equation becomes
[tex]\cot (135)= \tan (-45)[/tex]
Rewrite as:
[tex]\tan (-45) = \cot (135)[/tex]
Hence, the equivalent expression of tan(-45) is cot(135)
Read more about trigonometry equivalent expressions at:
https://brainly.com/question/4515552
10 POINTS A rectangular window has a width of 12 ft and a length of x ft. Which expression represents the perimeter of the window?
x+12
2x+12
2(x+24)
2x+24
PLEASE HELP WITH THIS PROBLEM!!!
Answer:
-4.2 would be second.
Step-by-step explanation:
53% is .53
3/5 is .60
-4.2 is, well, -4.2
-√11 is -3.31
And -30/7 is -4.28571...
From least to greatest, it would be -30/7, -4.2, -√11, 53%, then 3/5
I hope I helped!
The product of odd numbers is always even true or false ?
Answer:
false
Step-by-step explanation:
let's say we have two odd numbers
2k+1 and 2t+1
[tex](2k+1)(2t+1)\\\\=4kt+2k+2t+1\\\\=2(2kt+k+t)+1[/tex]
so we see it's odd
Answer:
false
Step-by-step explanation:
If we can show a counter example, then it would be false
3*5 ( both are odd numbers)
15 ( that is odd)
So it is not a true statement
Solve 2(x + 1) + 4 = 8.
WILL MARK BRAINLIEST!!! please help me with this:)
Answer:
I believe it is C or D. (C) The IQR is the best measurement of spread for games and movies.
(D) The standard deviation is the best measurement of spread for games and movies.
The explanation why it could be D:
Measures of spread are stats that describes how separated are the group of data between each other.
The measures are range, quartiles, variance and standard deviation. Among these measures, the standard deviation is the one that best expresses the variation, dispersion or spread of a set of values, because is based on the difference between each data and the mean, it takes in count each separation.
The explanation why it could be C:
Our both box plots are highly skewed, therefore, the IQR is the best measurement of spread for games and movies and option C is the correct choice.
I believe it is C, my friend. So I would go with C.
I hope this helps.
answer attachment below EASY POINTS
find the quotient for -6 divided by -8
Answer:
0.75
Step-by-step explanation:
2 negs = pos
plz help i will mark u brainiest
Answer:
Step-by-step explanation:
FOR THE FIRST PAGE
1. A' (7,-2)
2. B' (-7,7)
3. C' (-7,-1)
4. D' (1,-2)
5. A' (-2,-7)
6. B' (7,-7)
7. C' (-1,7)
8. D' (-2,-1)
9. A' (-7,2)
10. B' (-7,-7)
11. C' (1,-7)
12. D' (-1,2)
5 3/8 as a decimal ?? Please help
Answer:
43/8
Step-by-step explanation:
my answer has to be 20 characters long
marys father bought a chair. the list price was $50, but he received a 30% disount. how much did the chair cost? thank you in advance:)
Answer:
15$
Step-by-step explanation:
Step 1: First determine the value of the whole amount, which is 50.
Step 2: Determine the percentage, which is 30.
Step 3: Convert the percentage 30% to its decimal form by dividing 30 into 100 to get the decimal number 0.3:
30/100 = 0.3
(Dividing into 100 is the same as moving the decimal point two places to the left.)
30.0 → 3.00 → 0.30
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:
0.3 x 50 = 15 (answer).
Hope this helps.
The answer to the problem is $35
How to find the percentage of a number?Finding the percentage of a number 'n', we have to multiply it by the percentage to be found divided by 100, so for example, 20% of n is equal to 0.2n.
What is the discount?The discount percentage is the amount that we do not have to pay and hence we subtract the percentage of the discount while paying.
The solution to the problem.The discount percentage is 30%
The total price is $50, hence 30% of 50 is 0.3*50=15
So there is a discount of $15, hence the cost of a chair after the discount will be 50-15 = 35
Hence, Mary's father bought the chair for the price of 35$
Learn more about Percentage here
https://brainly.com/question/27855621
#SPJ2
A triangle with one obtuse angle must also have two acute angles
Answer:
True! All triangle angles must add up to 180 degrees, thus an angle greater than 90 degrees would only give the rest of the angles 90 degrees to work with, which would make them acute.
Step-by-step explanation:
hope this helps :)
Draw a right triangle with one leg value is 4 and the other leg value is 3. Use the triangle to find the exact values of the six trigonometric functions of
Step-by-step explanation:
Draw a right triangle with one leg value is 4 and the other leg value is 3
The triangle is attached below
To find hypotenuse , use Pythagorean theorem
[tex]c^{2} =a^{2} +b^{2} \\c^{2} =3^{2} +4^{2} \\\\c^{2} =25 \\\\c=\sqrt{25} =5[/tex]
opposite side = 4, adjacent side =3 and hypotenuse = 5
Apply trigonometric ratios
[tex]sin(A)=\frac{opposite}{hypotenuse}=\frac{4}{5}[/tex]
[tex]cos(A)=\frac{adjacent}{hypotenuse}=\frac{3}{5}[/tex]
[tex]tan(A)=\frac{opposite}{adjacent}=\frac{4}{3}[/tex]
[tex]cosec(A)=\frac{hypotenuse}{opposite}=\frac{5}{4}[/tex]
[tex]sec(A)=\frac{hypotenuse}{adjacent}=\frac{5}{3}[/tex]
[tex]cot(A)=\frac{adjacent}{opposite}=\frac{3}{4}[/tex]
Which figure is described below?
The points in a plane 4 units
from PQ.
A. 2 lines
B. ray
C. sphere
D. line
I NEED HELP PLEASE !!!! PLEASE PLEASE HELP ME
Evaluate *
g(x) = x – 2x2 find g(-3) + 13
Step-by-step explanation:
g(-3) + 13
= (-3) - 2(-3)^2 + 13
= - 3 - 18 + 13
= -8.
x³ + y³ = 152. find x and y
Answer:
x=5, y=3
Step-by-step explanation:
5^3=125
3^3=27
125+27=152
Answer:
x=5, y=3
Step-by-step explanation:
i need help look at pic
Answer:
19,181 ice cream cones
Step-by-step explanation:
25,037
- 5,856
_______
i think this is what theyre asking. if needed, divide answer by 49 (the other states) which is about 391 cones
how much money will it cost paul to rent the scooter for 6 hours ?
Answer:
51
Step-by-step explanation:
Answer:
$59.
Step-by-step explanation:
1st hour: 11+8=19
2nd hour: 19+8=27
3rd hour: 27+8=35
4th hour: 35+8=43
5th hour; 43+8=52
6th hour: 51+8=59
一8h-215 + 5)) + 792
Answer:
-8h + 582 is your answer. Hope I helped <3
An photo studio is going to display a portrait in their lobby. The portrait is being reproduced from a photo with dimensions 6 inches by 3 inches. If the dimensions of the portrait in the lobby are 20 times the dimensions of the original photo, determine the area of the portrait in square feet.
a.
7,200 ft2
b.
50 ft
c.
300 ft
d.
200 ft
Answer:
300ft
Step-by-step explanation:
Last month, Brooklyn worked 255 hours for $750 per hour at her job at the store. How much did she earn the last month
Answer:
191,250
Step-by-step explanation:
Y=750(255)