Answer:
1.2
Step-by-step explanation:
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
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6.3232 or 6.3202 is grater?
Answer:
6.3232 is greater
Step-by-step explanation:
pls help quickly thank you
Answer: $637
Step-by-step explanation:
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.
Answer:
y = 9x
Step-by-step explanation:
You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.
9 would be the slope, since he has to pay $9 per gift.
The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.
So, it's just y = 9x
Hope that helps! :D
Answer:
easy
Step-by-step explanation:
what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?
Answer:
The complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Step-by-step explanation:
Considering the function
[tex]f(x)=-8x+13[/tex]
As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.
Now
As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).Putting x = -2 in f(x) to determine the range for the value x = -2
[tex]f(x)=-8x+13[/tex]
[tex]f(-2)=-8(-2)+13=16+13=39[/tex]
Putting x = 0 in f(x) determine the range for the value x = 0
[tex]f(x)=-8x+13[/tex]
[tex]f(0)=-8(0)+13=0+13=13[/tex]
Putting x = 0 in f(x) determine the range for the value x = 3
[tex]f(x)=-8x+13[/tex]
[tex]f(3)=-8(3)+13=-24+13=11[/tex]
Therefore, the complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37
please help! i only got 9 minutes left!!
Answer:
D) -5/2
Step-by-step explanation:
(0, 5) (8, -15)
-15 - 5 = -20
8 - 0 = 8
-20/8 = -5/2
Can someone help pls
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next
Answer:
The answer is C. 2 pounds
Step-by-step explanation:
Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.
This is for the ones on Plato
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
5(x-4)=15
find out what x is
Answer:
7
Step-by-step explanation:
7-4=3
5×3=15
plz mark brainliest
Answer:
x=7
Step-by-step explanation:
-5*(x-4)-(-15)=0
(0 - 5 • (x - 4)) - -15 = 0
35 - 5x = -5 • (x - 7)
-5 • (x - 7) = 0
Solve : x-7 = 0
Add 7 to both sides of the equation :
x = 7
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
Marking brainless!!!
Answer:
A
Step-by-step explanation:
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=-4/3x-60
Step-by-step explanation:
Answer:
y=-4/3x-60
Step-by-step explanation:
The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?
Answer:
Step-by-step explanation:
2+3.25=5.25 or 5 1/4 cups of flour total
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
Solve for x.
x/3+y=2x+19
Answer:
The answer is [attached photo].
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
(3+y)-19=x
Step-by-step explanation:
x/3+y=2x+19
=3+y=2x-x+19
(3+y)-19=x
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
What is the missing angle?
Answer:
the answer is 95
Step-by-step explanation:
[tex]180 - 50 - 35 = 95[/tex]
Answer:
105 degrees
Step-by-step explanation:
A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75
180-75=105
gordon types 1800 words in 25 minutes. word per minute
Answer:
72
Step-by-step explanation:
words per minutes= 1800÷25=72
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
the slope of the line that goes through the points (2,4) and (7,8)