Answer:
a. ST and UV are perpendicular lines.
b. BC and DE are parallel.
c. NP and QR are neither parallel nor perpendicular.
d. GH and JK are parallel.
Step-by-step explanation:
Slopes are used to calculate steepness of a line. Slopes are also used to check if two lines are parallel, perpendicular or neither.
When two lines are parallel, their slopes are equal.
When two lines are perpendicular, product of slopes of both lines is -1
Slope is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
a) S(-4, -1), T(-1,5) and U(1,1), V(5, -1)
[tex]Slope\ of\ ST = \frac{5+1}{-1+4} = \frac{6}{3} = 2\\Slope\ of\ UV = \frac{-1-1}{5-1} = \frac{-2}{4} = -\frac{1}{2}[/tex]
Now,
[tex](Slope\ of\ ST)(Slope\ of\ UV) \\= 2 * -\frac{1}{2}\\=-1[/tex]
ST and UV are perpendicular lines.
b) B(-6, -2), C(-3, 3) and D(2,0), E(5,5)
[tex]Slope\ of\ BC = \frac{3+2}{-3+6} = \frac{5}{3}\\Slope\ of\ DE = \frac{5-0}{5-2} = \frac{5}{3}[/tex]
As the slopes of two lines is equal, BC and DE are parallel.
c) N(-6,2), P(--3, -4) and Q(1, -3), R(3, 4)
[tex]Slope\ of\ NP = \frac{-4-2}{-3+6} = \frac{-6}{3} = -2\\Slope of\ QR = \frac{4+3}{3-2} = \frac{7}{2}[/tex]
NP and QR are neither parallel nor perpendicular.
d) G(-2,5), H(4,1) and J(1, –4), K(7,0)
[tex]Slope\ of\ GH = \frac{1-5}{4+2} = \frac{-4}{6} = -\frac{2}{3}\\Slope\ of\ JK = \frac{0-4}{7-1}= \frac{-4}{6} = -\frac{2}{3}[/tex]
GH and JK are parallel.
Hence,
a. ST and UV are perpendicular lines.
b. BC and DE are parallel.
c. NP and QR are neither parallel nor perpendicular.
d. GH and JK are parallel.
Find the area of this sector
Answer:
1492.885
Step-by-step explanation:
the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576
for 360° and A=pi*576
for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²
Which of these graphs is a function?
PLEASE HELP
15 POINTS OR A BRAINLIST
Answer:
Graph B
Step-by-step explanation:
when identifying a function the point cannot fall on the same vertical line
When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
Multiply the first equation by -1.
Multiply the first equation by -4.
Multiply the second equation by 4.
Multiply the second equation by -4.
WHOEVER HELPS ME WILL GET A BRAINLIEST!!
Answer:
question 9 is 8/3 or 2 2/3 question 10 is $18.39
Step-by-step explanation:
Write the point-slope form of the equation of the line through the given point with the given slope. through: (5, -1), slope –6/5
Answer:
Y = - 6/5 + 5
Step-by-step explanation:
Go to the point (5,-1) on a graph and use the slope to find the y-intercept (5 to the left, then 6 up)
Which of the following set of numbers could NOT represent the three sides of a triangle.
Need this answer in 5 minutes.
Answer:
dou still need the answer?
Step-by-step explanation:
Write this statement as a conditional statement in the form “if p, then q.”
Two angles are supplementary angles if the sum of their angle measures is equal to 180 degrees.
Answer:
if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.
Step-by-step explanation:
the if p statement is called the hypothesis of the conditional statement.
the then q statement of the conditional statement is called the conclusion.
the floor of a room 3m wide and 5m long is to be covered with square tiles of side 10cm. How many tiles will be used?
Step-by-step explanation:
division is key (divide both areas)
change units to cm
300×500÷10×10=1500 tiles
Evaluate the expression: 3d - 4 where d = 1.2
Answer:
-0.4
Step-by-step explanation:
3d-4 where d=1.2
substitute 1.2 for d and solve
3(1.2)-4
3.6-4= -0.4
-0.4 is the value of expression 3d-4 when d is 1.2
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3d-4
Three times of d minus four
d is the variable in the expression and minus is the operator
We need to find the value of expression when d is 1.2
Substitute d =1.2 in the expression
3(1.2)-4
Three times of one point two minus four
3.6-4
-0.4
Hence, -0.4 is the value of expression 3d-4 when d is 1.2
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the vertices of a rectangle are A(2,0), B(5,0), C(5, -2), and D(2,-2). reflect the rectangle in the y axis, and then rotate the rectangle 180 degrees about the origin. what are the coordinates of the image?
Answer:
a(2,0) b(5,0) c(5,2) d(2,2)
Step-by-step explanation:
hope this helps!!
Evaculate this expression : | -8 |
Answer:
Positive 8
Step-by-step explanation:
l -8 l has to be the opposite so its going to be 8! Pls mark brainiest!!
What is the line equation for the line of reflection
Answer:
y=2
Step-by-step explanation:
2 more leftttt yay help
Answer:
25%
Step-by-step explanation:
1/4 is 25% of 4 areas please Brainliest
What percent of 85 is 51 ?
Answer:
60%
Step-by-step explanation:
51/85×100×1/00
=3/5×100×1/100
=60×1/100
=60%
60 percent of 85 is equal to 51.
As per the given data:
We have to find what percent of 85 is 51.
In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To determine a percentage of a number, divide it by its value, then multiply the result by 100.
By using the above definition, we can find percentage.
Let's assume x percent of 85 is equal to 51.
= x% of 85 = 51
= (x/100) × 85 = 51
= (x/100) = 51/85
= (x/100) = 0.6
= x = 0.6 × 100 = 60
Hence, 60 percent of 85 is equal to 51.
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QUESTION - What is -2(3x + 12y - 17x - 16y + 4) simplified? ANSWERS A. -40x + 8y + 2 B. 28x + 8y + 2 C. 28x + 6y + 2 D. -28x - 8y + 2 -------------------------- Time remaining - 1 hour and 38 minute -------------------------- Please help me! Thank you!
Answer:
28 + 8y - 8
Step-by-step explanation:
According to the problem;
-2(3x + 12y - 17x - 16y + 4)
Collecting like terms;
-2(3x -17x + 12y - 16y + 4)
-2(-14x - 4y + 4)
28 + 8y - 8
None of the options matches the correct answer.
What is the equation of the line that passes through the point (4, - 7) and has a slope of ? -1/2
Answer:
y= -1/2x -5
Step-by-step explanation:
in slope intercept form
Answer:
y=-1/2x-5
Step-by-step explanation:
Hope it helps!
Estimate the sum to the nearest whole number. Then perform the
calculation.
8.575 + 12.625 + 8.4 + 70.4
Answer:
=100
Step-by-step explanation:
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Can you solve ?
|2x-9|=7
What is the answer please
add 6 and 3, then multiply b by the result
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Graph the line that passes through the points (3, -5)(3,−5) and (-1, -9)(−1,−9) and determine the equation of the line.
Answer:
[tex]y=x-8[/tex] or [tex]y+5=x-3[/tex]
Step-by-step explanation:
To write an equation finding the equation of a line you can use y-y1=m(x-x1)
Step 1: Find the slope using slope formula [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
[tex]\frac{-9 -(-5)}{-1 -3}=\frac{-4}{-4} =1[/tex]
Step 2: Plug in numbers to Point Slope Form.
[tex]y-(-5)=1(x-3)=y+5=x-3[/tex]
Step 3: Depending on what your teacher prefers you can also change it into slope-intercept form
[tex]y=x-8[/tex]
am i wrong or right?i will give brainliest to the right answer
Answer:
The correct answer is the first one
Step-by-step explanation:
The initial charge means when x is 0.
When x is 0, the y-value would be $3 (i think you thought that the initial value was 1)
Good luck with other questions
what is angle dar in circle a
Answer:
end of course geometry - Virginia Department of Educationwww.doe.virginia.gov › sol › test10_eoc_geometry
angle B. A. Triangle A is similar to triangle B. Line AB is perpendicular to line CD. ... 27 What is in circle A ? A 17°. B 34°. C 56°. D 68°. B. R. D. A. 34
The angle measure of m∠DAR is 68°.
What is an Inscribed Angle?An inscribed angle is the angle that an arc at any point on the circle subtends.
Given information:
A circle is centered at 'A'.
m∠RBD = 34°.
Arc RD is given.
To find the angle measure m∠DAR:
m∠DAR is inscribed in a circle.
m∠DAR can be described as m∠DAR = m∠RBD
m∠DAR = 2 x 34°.
m∠DAR = 68°.
Therefore, m∠DAR = 68°.
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which is the correct? help me please
Answer:
The answer is B. AAA
Step-by-step explanation:
This (AAA) is one of the three ways to test that two triangles are similar . ... If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.
Answer:
B.
Step-by-step explanation:
solve:
-3 ( -4x 1 ) = 13
Answer:
4/3 (assuming the (-4x 1) is (-4x+1))
Step-by-step explanation:
-3(-4x+1)=13
12x-3=13
12x=16
x=4/3
Answer:
x=4/3Step-by-step explanation:
-3(-4x1)=13<=>12x-3=13 <=>12x=16 <=>x=4/3Can somebody pleaseee help me with my Absolute Value homework? I need help understanding the questions. They don't need long answers.. If I add someone as a friend can you send an image of the homework in the message? I need to complete hopefully tonight because its past due... I would really appreciate help!!
Answer:
I can try.....
Step-by-step explanation:
Accept my friend request and I'll see what i can do.
Joe is at the ice cream shop in his house is 9 blocks north of the shop the park is 9 blocks south of the ice cream shop where he is at the ice cream shop is Joe closer to the park or his house how could the number 0 be used in the situation explain using the number line to the right to help you
Answer:
pls could you explain the question a bit more?...
Step-by-step explanation:
Use the point-slope form to write an equation, then write the equation in slope-intercept form.
Which has a quotient of 60?
A. 480÷80
B. 4,800÷8
C. 4,800÷80
D. 4,800÷800
Answer:
c 4800/80 =60
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
divide 60 by the 8 and see which it gets
A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?
{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}
Answer:
its A
Step-by-step explanation:
Carl wheezer told me
The domain of the function will be {t| 0 ≤ t ≤ 14}. so the correct option is A.
Since we know that the domain of a function refers to the set of possible input values or the values that the independent variable can take.
Thus, the independent variable is represented by the horizontal axis, which is time (t) in minutes.
We are given that the solid circle appears at point (0, 210) and point (14, 0), and a line connects these two points.
The x-coordinate of the first point is 0, and the x-coordinate of the second point is 14. So, the time values that correspond to these points are 0 minutes and 14 minutes, respectively.
We can see that the function is defined from time 0 to time 14.
Therefore, the correct answer is:
{t | 0 ≤ t ≤ 14}
This means that the domain of the function is the set of all possible values of t such that t is greater than or equal to 0 and less than or equal to 14.
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given the polynomial function below find F(-4) f(x)=2x^ 2 -x + 9
Answer:
45
Step-by-step explanation:
The value of f(-4) in the polynomial functions f(x) = 2x² - x + 9 is 45
How to evaluate the function?The function is given as:
f(x) = 2x² - x + 9
Substitute -4 for x
f(-4) = 2(-4)² - (-4) + 9
Evaluate the exponents
f(-4) = 2(16) - (-4) + 9
Evaluate the product
f(-4) = 32 - (-4) + 9
Evaluate the sum and the difference
f(-4) = 45
Hence, the value of f(-4) is 45
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