Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = [tex]\frac{-2+3}{3-2}[/tex] = 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = [tex]\frac{z+2}{8-3}[/tex] = [tex]\frac{z+2}{5}[/tex] , then
[tex]\frac{z+2}{5}[/tex] = 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
What is the answer to this question
Answer:
3) 124
Step-by-step explanation:
a1 = 10
a2 = a1+6 = 10+6 = 16
a3 = a2+6 = a1+6+6 = a1 + 2×6 = 22
a4 = a3+6 = a2+6+6 = a1+6+6+6 = a1 + 3×6 = 28
...
=>
an = an-1 + 6 = a1 + 6(n-1)
=>
a20 = a1 + 6(20-1) = 10 + 6×19 = 10+114 = 124
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
In a class of 40 students. 12 entered a Mathematics competition, what percentage of the class is this?
Answer:
30%
Step-by-step explanation:
12 divided by 40 equals 0.30, which is 30%.
Answer:
30 %
Step-by-step explanation:
To find the percentage first find the fraction
12/40
Then decimal form
.3
Multiply by 100 to get the percent
.3 * 100
30 %
Find the area of rectangle whose length is -3/7 and breadth is 16/3
Answer:
I'm gonna guess your length is positive and you made a typing mistake. If that's so....
Step-by-step explanation:
Area= length x breadth
=[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]
=[tex]\frac{16}{7}[/tex]
=2.29 [tex]unit^{2}[/tex]
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
Help on this question please.
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
30 = 6x
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
Whats the order of rotational symmetry for brainlest
Answer:
1Step-by-step explanation:
A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
URGENT!!!!
To decorate his new room, Mr. Caldwell bought some succulents for $2 each and
some mini cacti for $1 each. If he bought a total of 15 plants and spent a total of $23,
how many plants of each kind did he buy? Write and solve a system of equations. Show all work!
Answer:
Succulents=8
Cacti=7
Step-by-step explanation:
x will be how much succulents he bought and y would be how many cacti he bought.
x+y=15. Since he bought 15 plants.
2x+y=23
x=8
y=7
Find the measure for angle B
9514 1404 393
Answer:
C) 83°
Step-by-step explanation:
The angle marked 97° and b form a linear pair, so are supplementary.
b = 180° -97° = 83°
Answer:
C .) 83 °
Step-by-step explanation:
Angle b and 99° are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.
➛ b + 97 ° = 180 °.
subtract each side by 97 °
➛ b + 97° - 97° = 180° - 97°
➛ b = 83°
Classify the triangle
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangles in which 2 sides are equal are called isosceles triangles
Answer:
1 it’s a triangle
2 it has sides and… jk
I don’t really know much especially because you didn’t give me much info but I know it’s an acute angle and it’s a polygon and it’s an isoscele triangle and… that’s all I know. But I’m sorry if I’m a waste of space but I tried my best and I hope i helped. ✌
Step-by-step explanation:
Byeeeeeee
sorry again if I didnt help…
I really tried really hard.
One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.
On a coordinate plane, the point (3, 0.75) is plotted.
How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).
put it in the comments im out of answers
the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
How can he use the graph to find an equivalent ratio?He knows the relation:
3 cups of granola ⇒ 0.75 cups of raisins.
Assuming this is a proportional relation of the form:
y = k*x
Where k is a constant.
Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.
Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
If you want to learn more about proportional relationships:
https://brainly.com/question/12242745
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what is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10
Answer:
(10, 15)
Step-by-step explanation:
To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.
x-intercept occurs at y = 0
If y = 0
2(0)+3x =10
3x =10
x = 10/3
x = 1.33
y-intercept occurs at x = 0
If x = 0
2y+3(0) =10
2y =10
y = 10/2
y = 5
Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)
Hence the required coordinate is (10, 15)
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at least a few times a year. Find a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping.
Answer: (0.25,0.33)
Step-by-step explanation:
A 99% confidence interval for population proportion is given by:-
[tex]\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, [tex]n[/tex] = sample size.
Given: [tex]n=1025, \hat{p}=0.29[/tex]
A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:
[tex]0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)[/tex]
[tex]\approx(0.25,\ 0.33)[/tex]
Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)
What does y equal ??!?!
==================================================
Explanation:
The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.
If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(62) = y/350
350*tan(62) = y
y = 350*tan(62)
y = 658.254262871217
y = 658.3
determine the missing angle.
The angle at the vertex of a rectangle is 90°
So, it means that,
= ? + 40 = 90
= ? = 90 - 40
= ? = 50
Answer:
50°
Step-by-step explanation:
x = ?°
x + 40° = 90°
x = 90° - 40°
x = 50°
If we are running a 20% off promotion, how much would a customer
save if she purchased an item originally priced $200?"
The customer would save how much ?
Answer:
40 saved
Step-by-step explanation:
200 x .20(20% off)=40 saved
Answer:
Step-by-step explanation:
Price is $200 with 20% Off
type in 200 in your calculator then X .20 for the 20%off you will come up with
$40 is what the Customer will save the Correct Answer $40
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
Can someone please answer this
Show two different ways to divide the composite figure. Find the area both ways. Show your work (PLEASE HELP NO LINKS)
Answer:
2,799,360
Step-by-step explanation:
12x18x20x9x8x9=2,799,360
Area of complete figure in 1st way = 288 cm^2
Area of complete figure in 2nd way = 288cm^2
What is area of a rectangle ?
The area of a rectangle of length =l and breadth =b is length times its breadth . General formula of calculating area of rectangle is length * breadth
In first case we are dividing the figure horizontally
in which there occur an upper small rectangle of l = 12cm and breadth = 9 cm and a big rectangle of L 20cm and B= 9cm
area of 1st rectangle= l*b = 12 * 9 = 108 cm^2
area of 2nd rectangle = L*B = 20 * 9 = 180 cm ^ 2
area of complete figure in 1st way = area of 1st rectangle + area of 2nd rectangle
= 108 + 180 = 288 cm^2
In second case we are dividing the figure vertically
in which there occur an small rectangle of l = 8cm and breadth = 9 cm and a big rectangle of L =18cm and B= 12cm
area of 1st rectangle= l*b = 8 * 9 = 72 cm^2
area of 2nd rectangle = L*B = 18 * 12= 216 cm ^ 2
area of complete figure in 2nd way = area of 1st rectangle + area of 2nd rectangle
= 72 + 216 = 288cm^2
learn more about area of rectangle
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Plz help me solve this
I don’t know how to explain on why the student was incorrect
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
Calculator
Problem
Find the area of the shape shown below.
Answer:
what shape?
you gotta give more lol
What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6
Answer:
A
Step-by-step explanation:
I need to know how to solve this equation
Answer:
D
Step-by-step explanation:
a
--- + 8 = 4
-2.1
a
---- =4 - 8
-2.1
a
--- = -4
-2.1
a= -4 × -2.1
a= 8,4
Which triangle is both scalone and acuto?
9514 1404 393
Answer:
the answer shown is correct
Step-by-step explanation:
An acute triangle will have a largest angle that is less than 90°.
All angles and sides will have different measures in a scalene triangle.
The triangle shown in your picture is both scalene and acute.
The sum or product of a non-zero rational number and an irrational number is always
rational.
irrational.
a repeating decimal.
a fraction.
Answer:
The sum or product of a non-zero rational number and an irrational number is always 1
Answer:
B
Step-by-step explanation:
Write a phrase for each expression.
Step-by-step explanation:
HERE
* 11x
Phrase= x times 11
Operation= times
* 8-y
Phrase= 8 minus y
Operation = minus
1- 7n
2- 4-y
3- 13 + x
4- x divided by 12
5- y times 10
6- c added to 3
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
