==================================================
Work Shown:
7(-2-7k) + 4
7(-2) + 7(-7k) + 4
-14 - 49k + 4
-49k + (-14+4)
-49k - 10
In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.
Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2
Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
The graph shown here is the graph of which of the following rational
functions?
FN
O A. F(x)
O B. F(x)
O C. F(x) =
Help
Answer:
I think it's option B ...
Answer:
A.) F(x)=1/x-5
Step-by-step explanation:
ANSWERRRR QUICKKKK PLEASEEEE
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..
Answer:
ratio is 1/2
Step-by-step explanation:
r=8/16 =1/2
Answer:
1/2
Step-by-step explanation:
16 * 1/2 = 8
8 * 1/2 = 4
4 * 1/2 = 2
Hope this helps!
help me pls and solve for x
Answer:
See below.
Step-by-step explanation:
sin(71) = x/23
x = sin(71) * 23
x = 21.75
Answer:
21.75 (2 digit after decimal)
Step-by-step explanation:
Sin theta = perpendicular/hypotenuse
sin 71=x/23
23 sin 71=x
x=21.747
Find the measure of DF
Answer:
144 = arc DF
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
72 = 1/2 arc DF
Multiply by 2
2*72 = arc DF
144 = arc DF
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
f(-3)=g(-4) 123456789012345
Please Help!!
In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26
Answer:
The answer is D
Step-by-step explanation:
This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D
Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide the line segment PQ in the ratio
Answer:
PQ' : Q'Q = 3 : 1
Step-by-step explanation:
As Given In Question
We Have A Triangle With Side PQ=8cm
PQ' = 3/4 * PQ
PQ' = 3/4 * 8
PQ' = 6 cm
& Q'Q = PQ - PQ'
= 8 - 6 = 2cm
so the line segment PQ is divided into PQ' : Q'Q = 3 : 1
please help.
What is the slope of the line given by the equation y = 2x + 6?
Answer:
The slope is 2 and the y intercept is 6
Step-by-step explanation:
y = 2x+6
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is 6
Answer:
2
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
y = 2x + 6
m = 2
Slope is 2
ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)
7 x 180 = 1260
1260/2 = 630 is the answer
Answer:
630
Step-by-step explanation:
20 points and Brainliest !
Find the equation of the line with y-intercept 6 and slope -5/6 . What is the equation of the line in slope-intercept form?
Answer:
y = -5/6x + 6
Step-by-step explanation:
Slope intercept form is: y = mx + b
- where m is the slope
- where b is the y-intercept.
The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:
y = -5/6x + 6
Answer:
[tex]y = - \frac{5x}{6} + 6[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate[/tex]
[tex]m = - \frac{5}{6} \\ b = 6[/tex]
2: Write the equation:
[tex]write \: the \: equation \: of \: linear \: function[/tex]
[tex]y = mx + b[/tex]
3: substitute:
[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]
4: rewrite the equation:
[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years
Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.
PLEASE HELP!!
Find the area of the following triangle enter the exact answer as a decimal
Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
ahh could i get sum help?
Answer:
8/35 cubic inches
Step-by-step explanation:
Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.
What is the solution to the system of equations
Answer:
x=4 and y=−2
Step-by-step explanation:
Let's solve your system by substitution.
3x+8y=−4;2x−4y=16
Step: Solve 3x+8y=−4 for x:
3x+8y=−4
3x+8y+−8y=−4+−8y(Add -8y to both sides)
3x=−8y−4
3x/3=−8y−4/3 (Divide both sides by 3)
x=−8/3y+−4/3
Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:
2x−4y=16
2(−8/3y+−4/3)−4y=16
−28/3y+−8/3=16 (Simplify both sides of the equation)
−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)
−28/3y=56/3
−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)
y=−2
Step: Substitute−2 for y in x=−8/3y+−4/3:
x=−8/3y+−4/3
x=−8/3(−2)+−4/3
x=4 (Simplify both sides of the equation)
So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4
is this an expression or an equation? 4a + 3b-6cx9
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
don’t really get this pls help
Answer:
B
Step-by-step explanation:
It should be B
if 1,a,5 and 15 are in proportion ,find the value of a
Answer:
a=3
Step-by-step explanation:
Given :
1:a :: 5: 15
To find a
a=15×1/5
a=3
Therefore, value of a =3
Imperial measurement systems please show all work in a neat manner thank you !
Answer:
1. Ethan
2. 2.5 tons
3. 72 in
4. 5.7 mi
Step-by-step explanation:
1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.
2. Divide pounds by 2000 to get tons
3. Multiply by 12
4. Divide by 5280 to turn feet into miles
hey again, could you help me with this and explain? thank you
Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
x = 7
S.A.S
Step-by-step explanation:
2x + 14 = 4x
2x = 14
x = 7
Solve for x.
Please help
Answer:
x =6
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
7x = x+36
Subtract x from each side
7x -x = x+36-x
6x = 36
Divide by 6
6x/6 = 36/6
x = 6
Match the rates with their equivalent unit rates. Match the rates with their equivalent unit rates. arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight
Answer:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
Step-by-step explanation:
Given
See attachment
Required
Complete the blanks
To do this, we simply carry out the division operation.
So, we have:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
The rates of the given equivalent unit rates are properly matched as follows:
42/7 = 6
60/12 = 5
40/10 = 4
56/8 = 7
64/8 = 8
How to find Unit RateTo find the unit rate, the numerator is divided by the denominator such that the denominator is reduced to 1.
Thus, let's find the unit rates that matches with the equivalent rates given (see attachment below).
Divide the numerators by the denominators such that the value of the denominators are reduced to 1.
42/7 = 660/12 = 540/10 = 456/8 = 764/8 = 8Learn more about unit rate on:
https://brainly.com/question/18296886
please answer quickly easy 15 points but please answer quick
Answer:
24.25 feet
Step-by-step explanation:
Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"
Answer:
y = x/2
Step-by-step explanation:
Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.
Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.
So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones" is
y = x/2
Can someone help me answer these practice questions
Answer:
A. 3x +3
B. 10x + 4
C. 30x - 50
D. -12x - 21
Step-by-step explanation:
A. 3(x + 1)
1. Multiply 3 times x = 3x
2. Multiply 3 times 1 = 3
3. Put them together 3x + 3
4. Repeat process for other problems.
Let me know if you have any other questions :)
. In Standard form 4 283.2 is written as A. 4.2832 x 10-3 B. 4.2832 X 10-1 C. 2832 x 10-2 D. 2832 x 103