Answer: y = x + 6
Step-by-step explanation:
[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]
[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]
[tex]m=-1[/tex]
[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]
[tex]\left(-1\right)m_p=-1[/tex]
[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]
[tex]m_p=1[/tex]
[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]
[tex]y=x+b[/tex]
[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]
[tex]4=\left(-2\right)+b[/tex]
[tex]-2+b=4[/tex]
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
[tex]-2+b+2=4+2[/tex]
[tex]\text{Simplify}[/tex]
[tex]b=6[/tex]
[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]
[tex]y=x+6[/tex]
At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?
Answer:
-5°C
Step-by-step explanation:
Let T1 be the temperature at the start of the experiment.
We know, T1 = 10°C
Rate of decrease in temperature = 3°C per minute.
Total temperature decreased after 5 minutes (T2) = (3*5)°C
= 15°C
The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C
Micheal is planting a garden in the shape of a right triangle. He wants 4 plants for each square meter area. How many plants does Michael want in the garden?
PLEASE answer this today because it is due tomorrow
Hence, required answer is 336
See the picture for the solution
I neeed helpppppppppppppppppppp
Answer:
1: 1; 3: 4; 5: 3
Step-by-step explanation:
when you have a negative exponent it basically is the regular exponent but the number is put over one
so 2^-2 is 1/2^2 which is 1/4
1/4 * 4 is 1
then for three
you have
(1/2)^-1
when the number is a fraction and you have a negative exponent you can put the number on the top
so this is 2
2 * 2 is 4
for the last one
anything times 0 is 1
this means that the answer is 3
Answer:
1. 1
3. 4
5. 3
Step-by-step explanation:
3.y= 2 (1/2)^x where x= -2
1/2=2^-1
(2^-1)^-1
-1×-1
=1
=2^1
2 (2)
=4
1. y=4 (2)^x
2^-2
1/2^2
=1/4
=4×1/4
=1
5.y=3 (1/3)^X
1/3=3^-1
(3^-1)^0
3^0
=1
3(1)
=3
The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.
The area, in square inches, of the entire trapezoidal rear window is 882 square inches.
What is the area of the entire trapezoidal rear window?
A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Area of a trapezoid = 0.5 x (36 + 48) x 21 = 882
To learn more about trapezoids, please check: https://brainly.com/question/25748893
The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?
A. 1. 1v
B. V - 0. 1v
C. 0. 1v
D. V - 0. 1
E. V + 0. 1
F. V - 0. 9v
Answer:
d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,luePLEASEEE HELP LOOK AT PICTURE!!!
Answer:
a 64/3
Step-by-step explanation:
4^3 * 1/3 = 64/3
can sombody help me i am bad at math illl give brainlist tho
Answer:
A and C are correct
Step-by-step explanation:
Making the decimal value greater than 4.3 or 4.30 will make the statement correct
Answer:
A
Step-by-step explanation:
incomplete statement
4.3 < 4 ← obviously not true
to make the statement true requires the value in the tenths place to be greater than 3 , for example
4.3 < 4.4 ← is a true statement
I need it as a linear function thank you
[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]
now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]
PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
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45+40+45=55+60+90+30+55+35+60+45+75
Answer:
635
Step-by-step explanation:
Answer:
45+40+45=55+60+90+30+55+35+60+45+75
Step-by-step explanation:
Its 505
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answer: 94 degrees
Step-by-step explanation:
What is the mode of the data set?
8
9
10
5
Answer:
8
Step-by-step explanation:
It has the highest frequency
If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV, then
SU = RV , so
w - 30 = w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME
Answer:
8.5
Step-by-step explanation:
7.5 + 8.5 = 16
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
I do not understand this
Answer:
D. 2 (1/3) hours
Step-by-step explanation:
'Of' means multiplication, so we are going to multiply
3 (1/2) x (2/3) = 2 (1/3)
or
3.5 x 0.66 = 2.333
I hope this helps!
Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Answer: The answer is two
Step-by-step explanation:
If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.
Answer:
27 units
Step-by-step explanation:
A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...
JK = KL
8x +11 = 14x -1 . . . . . substitute given expressions
12 = 6x . . . . . . . . add 1 -8x
2 = x . . . . . . . . divide by 6
Then the length of JK is ...
8x +11 = 8(2) +11 = 27
JK is 27 units long.
_____
Additional comment
KL = JK = 27 units
JL = 2(27 units) = 54 units
Write the following decimals in expanded form:
a) 0.75
b) 245.07
c) 36.85
d) 3.74
Answer:
a ) 0.75 = 0.70 + 0.05
b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07
c) 36.85 = 30+6 + 0.80 + 0.05
d) 3.74 = 3+ 0.70 + 0.04
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Write the following decimals in expanded form:
a) 0.75
0.70 + 0.05
b) 245.07
200 + 40 + 5 + 0.07
c) 36.85
30 + 6 + 0.8 + 0.05
d) 3.74
3 + 0.7 + 0.04
Hope this helps!
YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?
Answer:
13%
Step-by-step explanation:
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21
ST is parallel to RU in the figure. What is m<3 if m<1 =49
Answer:
49
Step-by-step explanation:
M<1 = M<2 - Corresponding angles are congruent
M<2 = M<3 - Vertical angles
Answer:
6) 49°
7) 30°
Step-by-step explanation:
6)Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.
∠3 = 49° . . . . . . . same as ∠1
__
7)Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.
5x +x = 180°
x = 180°/6 = 30°
a = 30° . . . . . . . . same as x
100 points!!! please help with this math!!!
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
Manny has car insurance and was in an accident with a bill totaling $11,500. The insurance company says he needs to pay the first $1000. What does the $1000 represent?.
Answer:
Deductible
Step-by-step explanation:
you pay the first $1,000 of covered services yourself
$1000 represents the deductible amount.
In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.
The consumer can first set his deductible while purchasing insurance.
Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.
The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.
Hence, the answer is deductible amount.
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In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?
Answer: 12,888 in^2 (inches squared)
Step-by-step explanation:
Does anyone know the answer to these? (forgot to put a screenshot on the last one)
Answer:
number 1
1 1000 grams
2 2000 grams
5 5000 grams
8 8000 grams
10 10000 grams
Step-by-step explanation:
now 2
1 grams 1000
3 grams 3000
4 grams 4000
6 grams 6000
9 grams 9000
that is all i know please mark me the brainiest
what is the solution of this equation -12x-7=53
Answer:
x = -5
Step-by-step explanation:
You have to work backwards.
53 + 7 = 60
60 ÷ 12 = 5
Add the negative »»» -5
The number of calories consumed in an oreo cookie is directly proportional
What is the solution to the equation 6 m = 60?
m = 10
m = 50
m = 66
m = 360
Answer:
[tex]\displaystyle m = 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\sf{m=10}[/tex]
Step-by-step explanation:
The value of m must be found from one side of the equation in order to solve this problem.
6m=60
First, divide by 6 from both sides.
[tex]\sf{6m=60}[/tex]
[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]
Then, solve it.
[tex]\boxed{{\sf{m=10}}}[/tex]
Therefore, the correct answer is m=10.
I hope this helps you! Let me know if my answer is wrong or not.