Answers
Answer:
C. (4 , 3)
Step-by-step explanation:
We are given a system of equations and are asked to find its coordinate value.
To solve, we can keep in mind that both start with y, therefore meaning that we can replace one of the y's with one of the equations.:
[tex]y=\frac{1}{4}x+2\\y=x-1[/tex]
[tex]\frac{1}{4}x+2 = x-1[/tex]
Let's try to get x alone, first subtract 2 from both sides:
[tex]\frac{1}{4}x=x-3[/tex]
Now subtract x from both sides:
[tex]-\frac{3}{4}x=-3[/tex]
Now since the denominator is 4, multiply both sides by 4:
[tex]-3x=-12[/tex]
Lastly, divide both sides by -3 to get x :
[tex]x=4[/tex]
Now that we know x is 4, we can substitute 4 for x in both equations:
[tex]y=\frac{1}4(4)+2\\y=(4)-1[/tex]
[tex]y= 3\\y= 3[/tex]
Y is equal to 3, therfore, our coordinate value is C. (4,3)
Related Questions
A cyclist travels 9 km from home to the park. She leaves home at 09:30 and arrives at the park at 09:45. What is her average speed in km/h?
Answers
Answer:
36km/h
Step-by-step explanation:
Given data
Distance= 9km
Time= 9:30- 9:45
TIme = 15min
Min- Hours
15min is = 0.25 hours
Hence the speed is as follows
Speed= distance/time
Speed= 9/0.25
Speed= 36km/h
Hence the speed is 36km/h
What is the probability of spinning a number greater than 4 or an odd number?
Answers
Answer:
3/5 will be greater than 4 while 1/2 will be an odd number.
Read the word problem below.
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have?
A student solves this problem by writing an equation. Which strategy could help check the student’s answer?
a) Check that the sum of the final answer, 12, and 15 is 55.
b) Check that the difference of 55 and the final answer is 12
c) Check that the sum of the final answer, 27, and 15 is 55.
d) Check that the difference of 55 and the final answer is 15.
Answers
Answer:
27 are blue C.
Step-by-step explanation:
If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?
Answers
Answer:
The image of the given points after the translation is;
(-1,13) , (-2,9) and (-1,-2)
Step-by-step explanation:
By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value
so for (-1,8); it will become (-1, 8 + 5) = (-1,13)
for (-2,4); it will become (-2,4 + 5) = (-2,9)
for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)
Find the fifth term when a1=4 and r=-3
Answers
Answer:
a₅ = 324
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex] then
a₅ = 4 × [tex](-3)^{4}[/tex] = 4 × 81 = 324
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.
Answers
Answer:
55.8 feet
I hope this helps people
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answers
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
Help out aaaaaaaaaaaaa
Answers
Answer:
y= -x
Step-by-step explanation:
same deal
-x+b=y
5= -(-5)+b
5= 5+b
b=0
Hope this helps :)
Determine the value of y, if x is 7.
y = x2 - 1
Answers
Answer:
13
Step-by-step explanation:
If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.
Hope that this helps!
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answers
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
m
A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answers
Answer:
x = 10.2 m
Step-by-step explanation:
law of sines:
sin 30° / x = sin 69° / 19
cross-multiply:
.5(19) = sin 69°x
x = .5(19) / sin 69°
x = 9.5/.934
x = 10.2
The value of x with the help of sine law is 10.2 units.
What is Sine Law?
Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
Here, Law of sines:
[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]
sin 30° / x = sin 69° / 19
1/2x = sin 69° / 19
cross-multiply:
19/2 = sin 69°x
x = 9.5 / sin 69°
x = 9.5/0.934
x = 10.2
Thus, the value of x with the help of sine law is 10.2 units.
Learn more about Sine Law from:
https://brainly.com/question/17289163
#SPJ2
What is the radius of D?
Answers
Answer:
[tex]\huge\colorbox{pink}{✏﹏ \: 3 cm\: }[/tex]
Step-by-step explanation:
Diameter (d) = 6 cm
Radius (r) = ?
[tex]r = \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \:cm[/tex]
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answers
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days
There are some dogs and some ducks walking in a park. Aiden counts the animals and says, “There are 30 animals in this park!” Chloe counts their legs and says, “They have a total of 84 legs!” How many ducks are in the park?
Answers
Answer:
13
Step-by-step explanation:
13
samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes
Answers
Answer:
15 word problems
Step-by-step explanation:
Given that
Samuel can do 9 word problems in 25 minutes
So we need to find out how he can do the word problems in 42 minutes
The calculation is given below;
= 9 × 42 minutes ÷ 25 minutes
= 15.12
= 15 word problems
Hence, the same would be considered and relevant
A line segment passing through the centre of the circle and
having its two end points on
the circle is called
Answers
Answer:
Diameter
Step-by-step explanation:
Diameter a line segment passing through the centre of a circle and having its endpoints on the circle is called a diameter of the circle.
Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5
Answers
Explanation:
The square root of 7 is 2.6 .
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answers
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
*6 sided die*
*Bag with 2 red marbles, 2 yellow, 2 green, 1 blue, and 1 purple*
A die is rolled and marble is selected from the bag shown. Find each probability.
HINT: These events are independent.
a) P(even number and yellow) = ___
1. 1/8
2. 5/14
3. 1/14
4. 1/16
b) P(odd number and not green) = ___
1. 5/14
2. 3/8
3. 1/8
4. 9/14
c) P(1 and red) = ___
d) P(3 and purple) = ___
PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
P(even + yellow)
P(even) = 3/6 (2 , 4, 6)
P(yellow) = 2/8
P(both) = 3/6 * 2/8
P(both) = 1/2 * 1/4
P(both) = 1/8
Odd number = 3/6
Not green = 6/8
P(Both) = 1/2 * 3/4 = 3/8
P{1 and red )
P(1) = 1/6
P(red) = 2/8
P(Both) = 1/6 * 1/4 = 1/24
P(3) = 1/6
P(Purple) = 1/8
P(both) = 1/6 * 1/8 = 1/48
-4x + 1 = -11
how do i solve this
Answers
Answer:
3
Step-by-step explanation:
- 4x + 1 = - 11
- 4x = - 11 - 1
- 4x = - 12
x = - 12 / - 4
x = 3
Answer:
-4X+1=-11
-4x=-11-1
-4x=12
x=12/4
x=3
Given the following kite find:
Answers
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
Mackenzie substituted the measurements of a cone into the formula to find the surface area. Her work is shown below.
SA= pi(9.5)(18)+ pi(9.52)
What can be concluded from Mackenzie's equation? Check all that apply.
The slant height is 9.5 units.
The diameter is 19 units.
The base area is 90 25 pi square units
The lateral surface area is 153 square units
The surface area is 261.25 pi square units
Answers
Answer:
if needed still, the correct answers are B, C and E.
Step-by-step explanation:
good luck!
Cecilia has the shirts indicated in the table.
Color
Pink
White
Black
Blue
Number of Shirts
3
1
4
4
Cecilia will randomly choose one shirt and then put it back in her closet. Then she will
randomly choose another shirt. What is the probability that she will choose a black shirt
and then a pink shirt?
Answers
Answer:
it is H
Step-by-step explanation:
4-3 is 1 and there is 12 total objects so it is 1/12
What would this expression be when simplified
Answers
Answer:
The first one is the answer
Step-by-step explanation:
Which is not a pair of congruent sides in the diagram below?
EF and JH
EK and GH
KJ and JH
KJ and FG
Answers
HELP ASAPPPPP PLEASEE
Answers
Answer:
A, B, B, A.
Step-by-step explanation:
The corner is 90 degrees. Therefore it has one right angle and is right. An isosceles triangle has 2 sides of equal length.
Answer:
abba.
Step-by-step explanation:
ksksskskwkwrandommmmmm
Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =
Answers
Answer:
12/49
Step-by-step explanation:
What is the range of y= x + 2?
Answers
Answer:
A) all real numbers greater than or equal to 2
Domain: [tex]x\geq 0[/tex]
Step-by-step explanation:
The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
Can someone help me???
Answers
Answer:
91 cm squared
Step-by-step explanation:
13 x 7 = 91
Answer: 77
Step-by-step explanation:
13 × 7 - (4 × 3) - (2 × 1)
Have a good day :)
1. The list below shows the ages of the first 20 customers at a new computer game store,
plan to a
knowled
and Prob
course ai
6, 7, 9, 10, 14, 15, 16, 17, 20, 26, 26, 29, 31, 34, 35, 38, 40, 51, 59, 67
a) Decide what class intervals to use, and then create a frequency table for the ages. (4 points: 2
points for intervals, 2 points for frequencies)
Help w
212 V
the ve
proce
book
statis
Try!
proy
look
para
Exto
Age
Frequency
Answers
Answer:
Step-by-step explanation:
The required class interval would show the class width of the data given. Thus choosing class width of 5, the appropriate class interval would be 6 - 15, 11 - 15, 16 - 20, 21 - 25, 26 - 30, 31 - 35, 36 - 40, 41 - 45, 46 - 50, 51 - 55, 56 - 60, 61 - 65, 66 - 70
The frequency table generated is herewith attached to this answer for better understanding.