Answer:
(-13,-20)
Step-by-step explanation:
We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7
and the second equation is y = 2x+6
Therefore, we have two equations.
[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]
Because both equations are equal (y=y)
x-7=2x+6
-7-6=2x-x
-13=x
We know the value of x, but not y-value. We substitute the value of x to get the value of y.
Substitute in any given equations which I will be substituting in the first equation.
y=-13-7
y = -20
Therefore when x = -13, y = -20
In coordinate form, we can write as (-13,-20).
If you have any questions, feel free to ask.
Pair of die is rolled what is Probability of rolling a sum of 15
0%
Where rolling a pair of die, a pair is two so there is two die. Now we have to look at the sample space for the two dice.
1 2 3 4 5 6
1 l 2l 3l 4l 5l 6l 7l
2l 3l 4l 5l 6l 7l 8l
3l 4l 5l 6l 7l 8l 9l
4l 5l 6l 7l 8l 9l 10l
5l 6l 7l 8l 9l 10l 11l
6l 7l 8l 9l 10l 11l 12l
there is 36 outcomes in the sample space none of them include getting 15.
240g in the ratio 5:3:2
Answer:
120:72:48
Step-by-step explanation:
Remark
Whatever the answer is (call it x to begin with), the equation starts as
5x + 3x + 2x = 240
What this means is that when you solve for x the results when multiplied by the ratio, should add to 240
Equation
5x + 3x + 2x = 240
Solution
Combine all the terms on the left.
10x = 240 Divide by 10
x = 240/10
x = 24
Check
5*24 = 1203*24 = 722*24 = 48Total = 240i don’t know the answer please help
I need help with this question ( see image). Please show workings.
Answer:
13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cmStep-by-step explanation:
Refer to the attached sketch (not to scale)Question 13(a) The center of the circle is also the circumcenter of the triangle PQR.
Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:
∠POQ ≅ ∠QOR ≅ PORSum of the three angles is 360° as cover the full circle.
Each angle measure is:
∠POQ = ∠QOR = ∠POR = 360°/3 = 120°(b) Each side is 16 cm and the radius is 12 cm.
The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.
The segment MO is:
MO² = PO² - PM² = PO² - (PQ/2)²MO² = 12² - (16/2)² = 80MO = √80 = 8.94 cm (rounded)Question 14ΔXYZ is isosceles with:
XY = XZ = 20 cmYZ = 18 cm(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude
Find h:
h² = XZ² - ZM² = XZ² - (ZY/2)²h² = 20² - (18/2)² = 319h = √319h = 17.9 cm (rounded)(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.
Find ∠ZXM:
sin ∠ZXM = ZM/ZX = 9 / 20m∠ZXM = arcsin (9/20) = 26.7° (rounded)Find ∠ZOM:
m∠ZOM = 2*m∠ZXM = 2*26.7 = 53.4°Find the measure of the radius:
sin ∠ZOM = ZM/rsin 53.4° = 9/rr = 9 / sin 53.4°r = 11.2 cm (rounded)Find the measure of the diameter:
d = 2r = 2*11.2 cm = 22.4 cmBen needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?
Answer:
696 39/100 meters
Step-by-step explanation:
Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?
Side A = 367 9/100 meters
Side B = 329 3/10 meters
How much fence does Ben need to buy?
Total fence Ben needs to buy = Side A + side B
= 367 9/100 + 329 3/10
= 36709/100 + 3293/10
= (36709+32930) / 100
= 69639/100
= 696 39/100 meters
Ben needs to buy 696 39/100 meters
selects a piece of candy and eats it (so it is NOT replaced!) Then selects a piece of candy and eats it. Find the probability of each event
Question:
There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.
You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event
(a) The probability of selecting two solid chocolates in a row.
(b) The probability of selecting a caramel and then a coconut candy.
Answer:
[tex](a)[/tex] [tex]P(Chocolates) = \frac{7}{29}[/tex]
[tex](b)[/tex] [tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]
Step-by-step explanation:
Given
[tex]Coconut = 5[/tex]
[tex]Caramel = 10[/tex]
[tex]Chocolate = 15[/tex]
[tex]Total = 30[/tex]
For probabilities without replacement, 1 is subtracted after the first selection.
So, we have:
Solving (a): Two solid chocolates
This is calculated as:
[tex]P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)[/tex]
[tex]P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}[/tex]
[tex]P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}[/tex]
[tex]P(Chocolates) = \frac{15}{30} * \frac{14}{29}[/tex]
[tex]P(Chocolates) = \frac{1}{2} * \frac{14}{29}[/tex]
[tex]P(Chocolates) = \frac{7}{29}[/tex]
Solving (a): Caramel and Coconut
This is calculated as:
[tex]P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}[/tex]
[tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]
Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
Round your answer to the nearest hundredth.
4x - 2y can be simplified as ____________
Answer:
4x - 2y can be simplified as 2(2x - y)
Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.
Find the expected number of red counters selected.
Answer:
1.4
Step-by-step explanation:
Probability of selecting a red counter :
Number of red counter / total number of counters
5 / (5 + 3) = 5 /8 = 0.625
Probability of selecting a blue counter = 0.375
Let number of red counters :
0, 1 or 2
0 red counters :
Expected value = x * p(x)
0 + (0.625*1) + (0.390625 * 2)
0 + 0.625 + 0.78125 = 1.40625
Expected number of red counters = 1.4
What is the value of x?
5(x+2)=11
Answer:
X=1.8
Step-by-step explanation:
Step one: 5 times 1.8 equals 9.
Step two: 9+2=11
HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:
Answer:
B
Step-by-step explanation:
I did it on khan academy
Find the value of the variables in the simplest form
Answer:
x = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is
2x² = 8 ( divide both sides by 2 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Anyone help pls? No links! :)
Answer:
6. D
7. F
8.A
9. B
10 C
13.Question- Write an expression using division and subtraction with a difference of 3.
answer- (12 divide 3) -1
Twelve divided by three is four. Four minus 1 is three.
12. Question- Write an expression using multiplication and addition with a sum of 16.
answer- There are many answers for this and this is one of them:
Y=4(3+1)
Y=16
or
Y=2(6+2)
Y=16
11. Question- Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all.
answer- Expression- (13*2)(3*2)=$32
This is the answer because Sam bought two CD's for 13, 13*2, and the sales tax was $ 3, so 3*2=6
Poosjsjdiwjqjsnsjjdd
Answer:
poosjsjdwjqisnsjjdd
Step-by-step explanation:
Answer:
what's the question?
simplify the expression.
Answer:
5^2
Step-by-step explanation:
Answer:
[tex]5^{2}[/tex]
Step-by-step explanation:
when dividing exponents with the same base (the number on the bottom) you subtract the exponents.
if -3x + 7 = -8 what does X equal
Answer:
5
Step-by-step explanation:
3x-7=8
x=5
A line is graphed on the coordinate plane below. Another line y = -x + 2
will be graphed on the same coordinate plane to create a system of equations.
What is the solution to that system of equations?
A. (-2,4)
B. (0,-4)
C. (2,-4)
D. (4,-2)
The solution to the given system of equations y = -x + 2 are option A. (-2,4) and D. (4,-2).
What is a system of equations?A system of equations is two or more equations that can be solved together to get a unique solution. the power of the equation must be in one degree.
The equation is given as
y = -x + 2
here, we need to find the solutions to the equation, we can apply the given options one by one to satisfy the equation.
For the solution
A. (-2,4)
y = -x + 2
Substitute the value x = -2 and y = 4
y = 4
-x + 2 = -(-2) + 2 = 4
Thus, the given solution are the system of equation.
For the solution
B. (0,-4)
y = -x + 2
Substitute the value x = 0 and y = -4
y = -4
-x + 2 = 0 + 2 = 2
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
C. (2,-4)
y = -x + 2
Substitute the value x = 2 and y = -4
y = -4
-x + 2 = 2 + 2 = 4
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
D. (4,-2)
y = -x + 2
Substitute the value x = 4 and y = -2
y = -2
-x + 2 = -4 + 2 = -2
Thus, the given solution are the system of equation.
Learn more about the system of the equation;
https://brainly.com/question/12895249
I need this answer I’ll give brainliest
What is the equation of the graph?
5
---- is the answer to the question
-6
Answer:
y= 4/6x + 4
Step-by-step explanation:
The "rise" of the slope is 4 and the "run" of the slope is 6.
The balanced scale represents the equation: 3x + 1 = x + 3
If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will
balance the scale?
subtract one x block from the left side and subtract three numbered blocks
from the left side
subtract one x block from the left side and subtract three numbered blocks
from the right side
subtract one x block from the right side and subtract'three numbered
blocks from the left side
subtract one x block from the right side and subtract three numbered
blocks from the right side
Answer:
1 block is required in the process to balance the scale
Step-by-step explanation:
In order to get the process that will balance the scale, we need to solve the given expression for x as shown;
3x + 1 = x+ 3
Subtract x from both sides
3x+1-x = x+3 - x
3x - x + 1 = 3
2x + 1 = 3
Subtract 1 from both sides
2x + 1 - 1 = 3 -1
2x = 2
Divide both sides by 2
2x/2 = 2/2
x = 1
Hence 1 block is required in the process to balance the scale
Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help
Answer:
2/3
Step-by-step explanation:
the ratio of base1 ABCD to base 1 of WXYZ is
8 to 12
8/12 = 2/3
Please help me with this question mark as A branlist please ASAP ASAP please ASAP
Answer:
x=18
y=27
explanation: 4 times 3 is 12
HELP FAST No DECIMAL plz!
Answer: 1,145,375 centimeters cubed
Step-by-step explanation:
Answer: 1,145,375cm I think
Step-by-step explanation:
Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.
How many hours did Sarah practice in all?
Please help me out you can just give me the answer! PLEASE AND THANK YOU!
Answer:
(Disclaimer: all digits in the answers are in the measuring unit degrees)
1) 15
2) 16
3) 46
4) 59.
Step-by-step explanation:
The first one is said to add up to 89, so you have to do 89 subtract 44 and 30 as they are told. That = 15
The second one is a right angle, meaning it adds up to 90. You do 90 - 74 as that is the value told. That = 16
Angles on a straight line = 180 so you have to do 180 - 134 as that is the value told. This = 46
This is 54 as opposing angles on two lines are =. That means this = 59 too.
When h is 1/2 and j is 1/3,g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?
Answer:
The value of g is 144 when h is 2 and j is 3 .
Step-by-step explanation:
If g varies jointly with h and j.
g = khj
Where k is the constant of proportionality.
Put value in the above
k = 4 × 6
k = 24
As when h = 2 , j = 3 and k = 24 .
Put in the above
g = 2 × 3 × 24
g = 144
Therefore the value of g is 144 when h is 2 and j is 3 .
Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
Answer: 1/5 of a jar
Step-by-step explanation:
1/2 times 2/5= .2 = 1/5.
Answer:
1/5 of a jar
Step-by-step explanation:
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object
Answer: 6773.27
Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola
Simon traveled 250 miles in 5 hours. What is his average speed?
Answer:
250/5 =50 miles per hour
At the state fair, admission at the gate is $9. In addition, the cost of each ride is $2. Suppose that Reuben will go on x rides.
Reuben wants the total number of dollars he spends on admission and rides to be fewer than . Using the values and variables given, write an inequality describing this.
Answer:
i think you forgot to add how little he wants to spend
Step-by-step explanation:
Reuben wants the total number of dollars he spends on admission and rides to be fewer than ??? whats the number that he wants to spend