=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.
find the slope between the following coordinates. (6,4)&(6,-2)
Answer:
slope is undefined
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 4 ) and (x₂, y₂ ) = (6, - 2 )
m = [tex]\frac{-2-4}{6-6}[/tex] = [tex]\frac{-6}{0}[/tex]
division by zero is undefined, therefore the slope of the vertical line is undefined.
Factor completely.
x² - 3x² - 4
Answer:
-2(x^2+2)
Step-by-step explanation:
1. x^2-3x^2-4
= -2x^2-4
2. -2(x^2+2) factor completely :)
Answer: - 2 (x² + 2)
Step-by-step explanation:
x² - 3x² - 4 ⇒ -2x² - 4 ⇒ - 2 (x² + 2) factor out - 2
a cube has volume 125 cubic inches, what is the surface area of the cube
Answer:
150 square inches.
Step-by-step explanation:
[tex]V=s^3[/tex]
s=125
[tex]s=\sqrt[3]{125} =5[/tex]
Therefore, total surface of a cube = [tex]6*s^2[/tex]
=6×5×5
[tex]150 in^2[/tex]
Match each equation to the line of best fit that it models.
arrowRight
arrowRight
arrowRight
By applying concepts of linear functions, the graphs are related to the following expressions:
(4/7) · x + 2x + 2(1/7) · x + 2- (1/7) · x + 2- x + 2How to match a line with a given linear functionGraphically speaking, lines are described by linear functions, a kind of polynomials of grade 1, whose standard form is presented below:
y = m · x + b (1)
Where:
x - Independent variabley - Dependent variablem - Slopeb - InterceptPlease notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the resulting expressions are shown in this order:
(4/7) · x + 2x + 2(1/7) · x + 2- (1/7) · x + 2- x + 2To learn more on linear functions: https://brainly.com/question/9330192
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¿Cuanto mide el ángulo central de un dedacagono?
Answer: 36°
Step-by-step explanation: 360° ÷ 10 = 36°.
Espero que esto te ayude!!
5. Which equation can be used to solve for x in the following diagram?
(3x+12)°
२०
A. 3x = 180+X
B. (3x+12) + x = 90
C. (3x+12) + x = 180
D. (3x+12) = x
Answer:
C
Step-by-step explanation:
the 2 angles form a linear pair and sum to 180° , that is
3x + 12 + x = 180
I will give brainlest to the first person to answer thats right!!!!!!!!!
mr. and mrs. jones are trying to decide which of their five children will help wash the family dishes. mrs. jones writes the names of the 3 boys and the 2 girls on different pieces of paper and places them in a bag. mr. jones will select one name and then select another name. what is the probability that two boys will be selected? simplify your answer.
The probability that two boys will be selected is 0.3 .
What is Probability ?Probability is defined as the study of likelihood of an event.
It has the range of 0 to 1.
Probability is equal to the ratio of possibility of an event to total occurrences
It is given in the question that
There are total 5 children , 3 boys and the 2 girls
Total outcome = 5
The probability of selection of first boy is 3/5
Total outcome = 4
No. of boys left to be selected = 4
The probability of selection of second boy is 2/4
Therefore the probability that two boys will be selected
= (3/5)*(2/4)
= (3/5)*(1/2)
=3/10
= 0.3
the probability that two boys will be selected is 0.3 .
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Answer:It is B i promise!!! i just got it right!
Step-by-step explanation:
3h
h
this pyramid has the same base as the prism, and its height is three times the height of the prism. what is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
volume of the pramind is 90332 ans And like
Question 7:
g is 60% of h
f is a third of g
Write the ratio f g h in its simplest form.
The ratio of f to g to h is:
1:3:5
How to write the ratio?
First, we know that g is the 60% of h, then we can write:
g = 0.6*h
Now we can write the 0.6 as a fraction, then 0.6 = 3/5.
g = (3/5)*h
So we can write:
5*g = 3*h
So the ratio of g to h is 3:5
Now, we know that f is a third of g:
f = (1/3)*g
3f = g
So the ratio of f to g is:
1:3
notice that the value that represents the proportion of g is 3 in both ratios, so we can just write:
The ratio of f to g to h is:
1:3:5
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7m
5m
6 m
4m
5 m
5m
What is the volume of the figure?
O 116 m³
O 190 m³
O 290 m³
x 390 m³
Answer:
290 m²
Step-by-step explanation:
The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.
[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]
Top cuboid
Length= 4 m
Breadth= 5 m
Height= 7 m
Volume= 4(5)(7)= 140 m²
Bottom cuboid
Length= 5 m
Breadth= 6 m
Height= 5 m
Volume= 5(6)(5)= 150 m²
Total volume
Total volume
= volume of top cuboid +volume of bottom cuboid
= 290 m²
Additional:
For a similar question on volume of composite figures, do check out the following!
https://brainly.com/question/1284145I’m struggling to answer this can someone please help me I would highly appreciate it
Answer:
Not similar
Step-by-step explanation:
If you have scratch paper, its best to label the angles and sides given. You can also rotate the orientation of one of the triangles if that helps visually.
First lets look at the sides.
Notice the common factor between side AB and side XY.
14/7=2
Notice the common factor between side AC and side XZ.
22/11=2
So far so good right? Well, IF these triangles are similar, that means that angle X must correspond to angle A. Since corresponding angles of similar triangles are equal to each other, lets check of angle X is equal to angle A.
Angle X = 29 degrees
Angle A = 28 degrees
28 does not equal 29 degrees. Therefore, the triangles are not similar. If angles X and A were equal, than the triangles would have been similar due to the Side-Angle-Side rule (SAS).
if d is the midpoint of the segment AC
Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.
What is the line segment about?in the question given,
AC = 3cm,
Therefore, AD and DC will be = 1.5cm segments each.
We are given C as the midpoint of segment DB.
So CB = 1.5cm.
The representation of the line segment is:
A-----------D------------C-------------B
1.5 1.5 1.5
Since AD, DC and CB are each 1.5cm segments. Then the equation will be:
= 1.5 + 1.5 + 1.5
= 4.5
Therefore, The length of the segment AB is 4.5cm.
See full question below
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.
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X-2y=-3 to standard form
Please help! Giving brainlist!
Answer:
∠AXB or ∠PXQ or ∠AXQ or ∠PXB or ...
Step-by-step explanation:
A vertical angle is formed from the rays that are opposite the rays that form the original angle.
__
opposite raysThe rays forming angle CXD are rays XC and XD. The ray opposite XC will have end point X, and can be named by either of the two points shown on the ray: A or P. That is, rays XA and XP are opposite ray XC.
Similarly, rays XB and XQ are opposite ray XD.
vertical angleThe vertical angle can be named using either of the first pair of opposite rays with either of the second pair:
∠AXB, ∠PXB, ∠AXQ, ∠PXQ
Of course, the ray names can be reversed in the angle names:
∠BXA, ∠BXP, ∠QXA, ∠QXP
Altogether, there are 8 ways to name the vertical angle to ∠CXD.
In the diagram below FG is parallel to CD. EF=6.9, FC=6.4, And GD= 5.1. Find the length of EF. Round your answer to the nearest 10th if necessary.
The length of EF which lie on line EC is 8.66 units.
What is parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
Here, EG = 6.9 , FC = 6.4, GD = 5.1
Also. FG || CD
By Basic Proportionality Theorem,
[tex]\frac{EF}{FC} = \frac{EG}{GD}[/tex]
[tex]EF = \frac{EG . FC}{GD}[/tex]
EF = (6.9 X 6.4) / 5.1
EF = 8.66 units
Thus, The length of EF which lie on line EC is 8.66 units.
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Triangle 1 has an angle that measures 26 ° and an angle that measures 53 ° .Triangle 2 has an angle that measures 26 ° and an angle that measures a ° where a≠53 °.
Based on the information, Frank claims that triangle 1 and triangle 2 cannot be similar.
What value of a will refute Frank's claim?
a=_____
Answer:
101 degrees
Step-by-step explanation:
The third angle in the first triangle would be 180 - (26+53) = 101 degrees
the angle in triangle 2 could be the 101 degree one
Which of the following represents the factorization of the trinomial below?
-3x²-18x²-24x
The following represents the factorization of the trinomial is -3x [ (x+2)(x+4)].
What is Trinomial?
A trinomial is a polynomial consisting of three terms or monomials.
Given polynomial:
-3x³-18x²-24x
Taking -3x as common, we get
=-3x(x²+6x+8)
Now, by factorization
=-3x (x²+4x+2x+8)
= -3x[x(x+4) + 2(x+4)]
= -3x [ (x+2)(x+4)]
Hence, the factorization is -3x [ (x+2)(x+4)].
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A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of Pi.
Pi feet cubed
The volume of the sphere with a diameter of 12 ft is calculated as: 288π feet cubed.
What is the Volume of a Sphere?The volume of a given sphere with a radius (r) is given as: V = 4/3πr³.
Given the following:
Diameter of the sphere = 12 ftRadius = 1/2(12) = 6 ft.Volume of the sphere = 4/3π(6³)
Volume of the sphere = 288π feet cubed
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Answer:
288 Is the answer : )
Step-by-step explanation:
I got it right on the test (100%)
Graph the line with the equation y=-x-6
Answer:
in the picture
Step-by-step explanation:
You need 2 points to graph a line.
▪︎ if x = 0, y = 0 - 6 => y = -6
1st point: (0, -6)
▪︎if y = 0, 0 = -x - 6 => x = -6
2nd point: (-6, 0)
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 35ft/s. The ball's height h (in feet) after t seconds is given by the following.
The values for time is 1.361 and 0.828.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given: h=-16t²+35t+2
so if the height is going to be 20ft,
20 = 2+35t-16t²
16t²-35t18=0
Solve the above quadratic equation
x= -b±√b²-4ac/2a
a=16, b=-5, c=18
x=[-(-35)±√(-35)²-4*16*18]/2*16
x= [35±√73]/32
x= 35+√73/32 and x= 35-√73/32
x=1.361 and 0.828.
Hence, the values for time is 1.361 and 0.828.
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find the angle of elevation of the sun if a building 325 feet tall casts a shadow 296 feet long
Answer:
Step-by-step explanation:
SOH CAH TOA
we have the (opposite) --> 325
we have the (adjacent) --> 296
so do the inverse tan of opposite over adjacent...
[tex]tan^{-1} (\frac{325}{296} ) = 47.67[/tex] degrees
Match the given side or angle to its measure using the parallelogram below.
Answer:
A=108
B=22
C=51
D=28
Step-by-step explanation:
A= AFB is a vertical angle opposite 108
B= congruent angles congruent sides, 11 x 2 sides
C= using angle rules, alternate interior angles of 21 puts 21 in the
triangle with 108, all triangles sum total 180, so (180-21=51)
for the 3rd angle ACD
D=last answer
The time in seconds, t, it takes for a specific object being dropped from a particular height in feet above sea level, h, to reach the ground can be found by the radical function t equals one fourth times radical h period At what height should you drop an object in order for it to reach the ground in 16 seconds?
Answer:
B.) 4,096 feet
Step-by-step explanation:
You were given a time, and time in the equation is represented by "t". To find the height, represented by "h", you just need to plug the given value in for "t" and simplify to find "h".
t = (1/4)√x <--- Original equation
16 = (1/4)√x <--- Plug 16 in "t"
64 = √x <--- Divide both sides by (1/4)
4,096 ft = x <--- Square both sides
The object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.
The equation is t=1/4 √x , where t is time in seconds and x is height in feet. To determine the height x at which an object should be dropped to reach the ground in 16 seconds, you can plug in the value of t=16 into the equation:
16 = 1/4 √x
Simplify the equation by multiplying both sides by 4:
4⋅16= √x
64= √x
Now, square both sides to isolate x:
64²=x
4096 = x
Therefore, to have the object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.
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Please and thank you :)
Answer:
8
Step-by-step explanation:
use tangent so opp/adj
9/tan4 which equals 7.7 or 8
Seven candy bars will cost you $3.50. How much will one candy bar cost?
Answer:
50 cents
Step-by-step explanation:
The question is basically asking what is the unit price
So we simply do :
$3.50 ÷ 7 = $0.50 = 50 cents
Hope this helped and brainliest please
Answer:
$0.50
Step-by-step explanation:
let the cost of one candy bar = X
7 candy bar ---------------$3.50
1 candy bar ---------------- X
crodd multiplying
7×X = 3.50×1
7X = 3.50
dividing bothsides by
7X/7 = 3.50/7
X = 0.50
therefore, one candy bar will cost $0.50
What are two limiting factors that affect both deciduous forests and grasslands?
1. very low rainfall throughout the year
2. seasonal changes in the amount of sunlight
3. a wide range of temperatures throughout the year
4. soil that is low in nutrients and organic matter
The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year , a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.
What are Grasslands ?The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.
The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.
and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .
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Find f(-2) for f(x) = 3.2.
O A. 2/1
OB.
36
O C. -36
OD. -12
3/4
Answer:
3/4 (A)
Step-by-step explanation:
replace x with -2 in the function
3 · 2^-2 = 3 · 0.25
3 · 0.25 = 0.75
0.75 = 3/4
marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?
Answer:
she will need about 7 baskets, the proper number is 6.7 but round up and its 7
Step-by-step explanation:
hope this helps!
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
Answer:
175 Kg
Step-by-step explanation:
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
385 : 2.2 =
175 Kg
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I need help asap please? and this is for the math question? what is the missing angle?
Answer:
90
Step-by-step explanation:
its a right angle triangle so the angle between the adjacent and opposite is 90 degrees.Angles on a straight line add up to 180180-90=90Answer:
the missing angle or the missing exterior angle is 90
Step-by-step explanation:
180-90=90