Answer:
y = 1
Step-by-step explanation:
Substitute -10 for x so the equation would be y=2/5-10-3
that would then be y=4-3
which would equal 1
The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Answer:
UV = 4; VW = 7, UW ≈ 8.06
m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°
Step-by-step explanation:
Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.
UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
UW=16+49‾‾‾‾‾‾‾√
Simplify.
UW=65‾‾‾√
Use a calculator to approximate.
UW≈8.06
Therefore, UW≈8.06.
Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.
UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√
Square.
UV=16+0‾‾‾‾‾‾√
Simplify.
UV=16‾‾‾√
Simplify.
UV=4
Therefore, UV=4.
Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.
VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
VW=0+49‾‾‾‾‾‾√
Simplify.
VW=49‾‾‾√
Simplify.
VW=7
Therefore, VW=7.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.
Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.
Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.
Therefore, m∠V=90°.
By the definition of tangent, tan∠U=VWUV.
Take the inverse tangent of both sides.
m∠U=tan−1(VWUV)
Substitute 7 for VW and 4 for UV.
m∠U=tan−1(74)
Use a calculator to calculate the inverse tangent.
The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.
m∠U≈60°
Therefore, m∠U≈60°.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.
The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.
So, m∠U+m∠W=90°.
Substitute 60° for m∠U.
60°+m∠W≈90°
Subtract 60° from both sides.
m∠W≈90°−60°
Simplify.
m∠W≈30°
Therefore, m∠W≈30°.
The rectangle has an area of 128 square inches and a width of 8 inches. Find the perimeter of the rectangle.
The answer is 48 square inches as the perimeter.
The perimeter of the rectangle is 48 inches.
What is rectangular perimeter?The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.
Given:
The rectangle has an area of 128 square inches and a width of 8 inches.
That means, the length,
= area of the rectangle / the width of the rectangle
= 128/8
= 16 inches.
The perimeter of the rectangle,
= 2 (length + width)
= 2 (16 + 8)
= 48 inches.
Therefore, the perimeter is 48 inches.
To learn more about the rectangular perimeter;
https://brainly.com/question/22109593
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Which of the following coordinate pairs make the equation x-9y=12 true? A (3,-1) B (0,-4/3) C (0,12) D (12,0) (There are multible answers.)
Answer:
Burun yardımı lazım ders programlı
Step-by-step explanation:
Lise pitirdim üventisiyi bitirdim
The table shows the number of tropical cyclones that formed during the hurricane
seasons over a 12-year period.
a. Find the probability to predict whether a future tropical cyclone in the Northern
Hemisphere is a hurricane. Round your answer to the nearest tenth.
about
%
b. Find the probability to predict whether a hurricane is in the Southern Hemisphere
Round your answer to the nearest tenth.
about
1%
Answer:
A.) is 46.2
B.) is 58.1
Step-by-step explanation:
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Answer:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
7 The table below shows the population of
different regions in 1985 and in 2005.
Place
Entire world
China
Population in Population
1985
in 2005
4.9 X 109 6.4 X 109
1.1 X 109 1.3 X 109
7.6 x 108 1.1 x 10
2.4 x 108 3.0 X 108
8.9 X 106 7.2 X 106
India
United States
Bulgaria
a Determine the ratio of the population
of the entire world to that of China in
2005, giving your answer to the nearest
integer
Answer:
In this table the graphic shows that...
Step-by-step explanation:
...the population increased 5,9 x 10 6.
The ratio is 64:13
What is ratio?Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
Given data:
Population of china in 2005 =1.3*10^9
population of entire world in 2005 = 6.4*10^9
Now,
ratio= 6.4*10^9/ 1.3*10^9
ratio= 64/13 or 64:13
Learn more about ratio here:
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Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.
Answer:
Combined area = 4[tex]x^{2}[/tex] + 38x + 84
Step-by-step explanation:
The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.
Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84
Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]
Write your answer in simplest radical form, units
Answer:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.
Step-by-step explanation: I just had this problem on ixl and it gave me the answer
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
6
0
I + 2y
23 Зу
--
26
42 2y = -6
y = 2.c 4
O
-
.
2.0
y = 4
62 — 3y = 12
I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?
A. m1 m3 + m4
B. m1 + m2 m2 + m3 + m4
C. m2 = m3 + m4
D. m1 m4
Pick one of the answers
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
d
Step-by-step explanation:
help please !!! it's 6th grade math
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm
Answer:
86 cm is the perimeter
Step-by-step explanation:
What is the equation of the line that passes through (0, -2) and has a slope of 0?
y = -2
y = 2
x = 2
Answer:
y = - 2
Step-by-step explanation:
A line with a slope of 0 is a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (0, - 2) with y- coordinate - 2 , then
y = - 2 ← equation of line
What the rang of the following function is
Answer:
b
Step-by-step explanation:
Answer:
its 5
Step-by-step explanation:
What type of decimal is 0.275
A. Repeating Decimal
B. Terminating Decimal
C. Non-Terminating Decimal
D Complex Decimal
Answer:
Complex Decimal.
it is the correct answer.
If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.
Answer:
Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar
Step-by-step explanation:
Answer:
They could be on different lines or on no line, but in the same plane.
Step-by-step explanation:
Hope This Helps!!
(brainliest please, if possible)
what 5/8x + 1/2 (1/4x + 10)?
1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)
Answer:
A. Yup. A.
Step-by-step explanation:
Anyone, please help me pretty please
Answer:
The answer is D
Step-by-step explanation:
Answer:
D i think. if not im very srry
Step-by-step explanation:
Need help with the rule transformation
[tex]T(x,y)=(x+3,y-2)[/tex]
Hope this helps.
A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
A. Linear
B. Exponential
C. Neither
A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.The system represents the situation
`20c+10m=495`
`8c+1m=178.50`
Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.
Answer:
Equations are
20c + 10m = 495..............(1)
8c + 1m = 178.5.................(2)
Now , equation (2) * 10 = 80c + 10m = 1785...........(3)
So, Eq. (3) - Eq(1) =
80c + 10m - 20c - 10m = 1785 - 495
60c = 1290
c= 21.5
********************************************************
Now place the value of c in Eq (2)
So , m =6.5
Mark my answer as brainlist answer
Step-by-step explanation:
obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]
Which postulate or theorem can be used to prove that
ABC~A ADC?
B
• SAS Congruence Postulate
•HL Congruence Theorem
• ASA Congruence Postulate
•SSS Congruence Postulate
Answer:
sSS Congruence Postulate
The answer is SSS Congruence Postulate
Step-by-step explanation:
i need help it's due today will give 30 points and brainliest
Answer:
t=5
a=-13
q=-9
z=-6
r=-2
u=9
y=-45
w=-13
s=11
p=-1
Step-by-step explanation:
Answer:
1.t=5
2.a=(-13)
3.-9=q
4.-6=z
5.r=(-2)
6.u=9
7.y=(-45)
8.w=(-13)
9.s=11
10.p=(-1)
hope this helps have a blessed day=)
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answer:
y = - [tex]\frac{5}{3}[/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 ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
Triangles are similar Find the value of x.
Please i need help Thank you in advanced
28 1/3
Step-by-step explanation:
The scale factor is 5/3
Multiply 17 by 5/3.
28 1/3
Answer:
x=28.33 or 28 1/3
Step-by-step explanation:
12/17=20/x
12x=340
x=28.33
olve for x: 3(x + 1) = −2(x − 1) + 6.