Answers
Answer: -49
Step-by-step explanation: 7 x 7 = 49, but since it has the (-) symbol it will be -49.
Related Questions
(Combining Equations)What is the result of adding these two equations ? 5x - y = 6 -2x + y = 8
Answers
Answer:
3x=14
Explanation:
Given the two equations:
[tex]\begin{gathered} 5x-y=6 \\ -2x+y=8 \end{gathered}[/tex]Adding the two equations gives:
[tex]\begin{gathered} \lbrack5x+(-2x)\rbrack+\lbrack-y+y\rbrack=6+8 \\ \lbrack5x-2x\rbrack+0=14 \\ 3x=14 \end{gathered}[/tex]Name the property: 14 * 1/14 = 1
Answers
The inverse property of multiplication states that the product of a number and its inverse is one. (a/b)*(b/a) = 1.
In the question, the numer is 14, its inverse is 1/14, and their multiplication is equal to 1.
Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3
Answers
we know that the endpoints of AB are
[tex]\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \\ (x_2,y_2)=(-3,-9) \end{gathered}[/tex]and the distance formula is given by
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]By substituying these points, we have that
[tex]d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}[/tex]which is equal to
[tex]\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \\ d=\sqrt[]{3^2+(-6)^2} \end{gathered}[/tex]then
[tex]\begin{gathered} d=\sqrt[]{9+36} \\ d=\sqrt[]{45} \\ d=\sqrt[]{9\cdot5} \\ d=\sqrt[]{9}\cdot\sqrt[]{5} \\ d=3\sqrt[]{5}\ldots..(A) \end{gathered}[/tex]On the other hand, if
[tex]\begin{gathered} (x_1,y_1)=(-2,-1) \\ (x_2,y_2)=(-1,-3) \end{gathered}[/tex]similarly to the previous case, the distance between the endpoint for A'B' is
[tex]d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}[/tex]which is equal to
[tex]\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \\ d=\sqrt[]{1^2+(-2)^2} \\ d=\sqrt[]{1+4} \\ d=\sqrt[]{5}\ldots..(B) \end{gathered}[/tex]Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.
Then, the answer is B.
 A gardener has 1080 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. Find the greatest area of the garden?
Answers
The function y=3.75+2.50(x-3) can be used to determine the cost of dollars for a uber ride of x of miles. What is the rate of change of the cost in dollars with respect to the number of miles?
Answers
function y = 3.75 + 2.5(x - 3)
dy/dx = 0 + 2.5 - 0
dy/dx = 2.5
The rate of change of the cost in dollars = 2.5
Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary.
Original price: $156.67
Tax rate: 6%
Answers
Answer:
166.07
Step-by-step explanation:
Given P(A)=0.31P(A)=0.31, P(B)=0.5P(B)=0.5 and P(A\text{ or }B)=0.585P(A or B)=0.585, find the value of P(A\text{ and }B)P(A and B), rounding to the nearest thousandth, if necessary.
Answers
Given:
P(A) = 0.31
P(B) = 0.5
P(A or B) = 0.585
To find:
P(A and B)
To determine P(A and B), we will apply the formula:
[tex]P(A\text{ or B\rparen}=\text{ P\lparen A\rparen + P\lparen B\rparen}-\text{ P\lparen A and B\rparen}[/tex][tex]\begin{gathered} substitute\text{ the values:} \\ 0.585\text{ = 0.31 + 0.5 +- P\lparen A and B\rparen} \\ 0.585\text{ = 0.81 - }P(A\text{ and B\rparen} \\ 0.585+\text{ P\lparen A and B\rparen = 0.81} \\ P(A\text{ and B\rparen = 0.81 - 0.585} \end{gathered}[/tex][tex]P(A\text{ and B\rparen = 0.225 }[/tex]6. Keaton needs to fill juice cups for her little sister's birthday party. There are 22 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?
(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
Answers
Answer: she will need about 2 gallons of juice
Step-by-step explanation:
- 7 + 4x = - 15The answer
Answers
Evaluate the value of expression.
[tex]\begin{gathered} -7+4x=-15 \\ 4x=-15+7 \\ 4x=-8 \\ x=-\frac{8}{4} \\ =-2 \end{gathered}[/tex]Answer is - 2.
Answer: х=-8 gooood luck
Step-by-step explanation:
i will insert a picture of the question, this is a 3 part question, i will inserted more information
Answers
Part A:
By Angle-Angle Theorem,
Triangle BCA is similar with triangle BDC (∠B ≅ ∠B, and ∠C ≅ ∠D)
Triangle CDA is similar with triangle BCA (∠CBA ≅ ∠DCA, and ∠BCA ≅ ∠CDA)
By transitive property
ΔBCA ~ ΔCDA ~ BDC
Part B:
[tex]\begin{gathered} \text{By properties of similar triangle} \\ \frac{b}{c}=\frac{d}{b} \end{gathered}[/tex]Part C:
Cross multiplying the proportions we have
[tex]\begin{gathered} \frac{b}{c}=\frac{d}{b} \\ b\cdot b=cd \\ b^2=cd \end{gathered}[/tex]Which statement BEST describes the effect on the value of y when the value of x isdoubled?
Answers
This is a linear function whose graph cuts the origin.
Therefore, any increase in the x axis will lead to a corresponding increase in the y axis by the same factor.
[tex]\begin{gathered} \text{The graph has the equation y =}\frac{x}{2} \\ If\text{ x is doubled, the corresponding value of y is also doubled} \end{gathered}[/tex]Thus, C is the answer
Hello I need help in understanding a problem! Thank you!
Answers
The question asks us to find the vertex of the equation below:
[tex]y=-0.017x^2+1.08x+5.8[/tex]The question asks us to find the vertex using two methods.
For the first method, we will use is to plot the graph of the equation and highlight the coordinate of the vertex on the graph.
The second method will employ completing the square method to find the vertex of the equation.
Method 1:
Plotting the graph of the equation, we have:
From the plot above, we can see that the vertex is: (31.765, 22.953)
The next method must get the same values for the vertex coordinates.
Method 2:
This method is the completing the square method. It converts quadratic equations into their vertex forms.
The general equation for a vertex form of a quadratic equation is:
[tex]\begin{gathered} y=(x-h)^2+k \\ \text{where} \\ (h,k)\to\text{ Vertex coordinates} \end{gathered}[/tex]In order to apply "completing the square" method, we need to complete the following steps:
1. Factor out the coefficient of x-squared
2. Divide the coefficient of x by 2 and square the result
3. Add and subtract the answer from step 2 to the equation; then factorize to get the quadratic equation
in its vertex form.
Now, let us proceed to find this vertex form:
[tex]y=-0.017x^2+1.08x+5.8[/tex]1. Factor out the coefficient of x-squared
[tex]\begin{gathered} y=-0.017(x^2+\frac{1.08}{-0.017}x)+5.8 \\ y=-0.017(x^2-63.5294x)+5.8 \end{gathered}[/tex]2. Divide the coefficient of x by 2 and square the result
[tex]\begin{gathered} \text{Coefficient of x is: -63.5294} \\ \text{Divide the coefficient by 2 = }\frac{-63.5294}{2}=-31.7647 \\ \\ \text{square the result = }(-31.7647)^2=1008.996 \end{gathered}[/tex]3. Add and subtract the answer from step 2 to the equation; then factorize to get the quadratic equation
in its vertex form.
[tex]\begin{gathered} y=-0.017(x^2-63.5294x)+5.8 \\ \text{Add and subtract 1008.996} \\ y=-0.017(x^2-63.5294x+1008.996-1008.996)+5.8 \\ \text{remember that, 1008.996 =(31.7647})^2\text{ , from above} \\ \\ y=-0.017(x^2-63.5294x+31.7647^2-1008.996)+5.8 \\ y=-0.017(x^2-2(31.7647)x+31.7647^2-1008.996)+5.8 \\ \\ \text{Also, } \\ (x^2-2xb+b^2)=(x-b)^2 \\ if\text{ b = 31.7647,} \\ \\ y=-0.017((x-31.7647)^2-1008.996)+5.8 \\ \text{Expand the outer bracket} \\ \\ y=-0.017(x-31.7647)^2-0.017(-1008.996)+5.8 \\ y=-0.017(x-31.7647)^2+17.1529+5.8 \\ \\ y=-0.017(x-31.7647)^2+22.9529 \end{gathered}[/tex]Now that we have the equation in vertex form, we just need to compare the equation with the general formula for the vertex form, to get the coordinates of the vertex.
[tex]\begin{gathered} y=a(x-h)^2+k \\ y=-0.017(x-31.7647)^2+22.9529 \\ \text{ Comparing the two equations, we can conclude;} \\ \\ a=-0.017,h=31.7647,k=22.9529 \\ \\ \therefore\text{ vertex (h, k) = (31.7647, 22.9529)} \end{gathered}[/tex]Therefore, the final answer is: (31.7647, 22.9529)
A manufacturing machine has a 3% defect rate.If 6 items are chosen at random, what is the probability that at least one will have a defect?
Answers
Given
defect rate = 3%
Number of items chosen at random = 6
Find
probability that at least one will have a defect
Explanation
Probability of defective items = 3% = 0.03
Probability of non defective items = 1 - 0.03 = 0.97
so ,
probability that at least one will have a defect = 1 - Probability of 0 defects
[tex]\begin{gathered} 1-^6C_0\times(0.03)^0(0.97)^6 \\ 1-(1\times1\times0.83297200492) \\ 1-0.83297200492 \\ 0.16702799508\approx0.167 \\ \end{gathered}[/tex]Final Answer
Hence , the probability that at least one will have a defect is 0.167(approx)
a person earns $16,700 one year and gets a 5% raise in salary what is the new salary
Answers
Answer: $17, 535
[tex]\begin{gathered} \text{ 5\% raise means an increament on the salary} \\ 5\text{ + 100 = 105\%} \\ \text{The intital salary the person earned = \$16,700} \\ \text{The new salary = percentage increase x the initial salary} \\ \text{The new salary = 105\% x \$16, 700} \\ \text{new salary = }\frac{105}{100}\text{ x \$16, 700} \\ \text{New salary = 1.05 x 16, 700} \\ \text{New salary = \$17, 535} \end{gathered}[/tex]Determined which postulate or theorem can be used to prove that AABC = ADCB.
Answers
Solution:
The statement is given below as
[tex]\Delta ABC\cong\Delta DCB[/tex]From the image in the question, we can see that
[tex]\begin{gathered} \angle BAC\cong BDC \\ \angle ACB\cong CBD \\ They\text{ share a common side} \\ BC \end{gathered}[/tex]Concept:
If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
Hence,
With the statements above, the final answer is
[tex]\Rightarrow AAS[/tex]OPTION B is the right answer
A fair die is rolled two times. What is the probability that both rolls are 3?
A) 0.028
B) 0.083
C) 0.167
D) 0.0046
Answers
Answer:
b)
Step-by-step explanation:
this is so becuz a fair die contains or has six parts meaning if its rolled once there are 6 probabilities so if its rolled twice the probabilities increase the chances are (1,1),(1,2),(1,3)... to (1,6) there is only one probability that its(3,3) so giving u 1/12 which when divided hives u b)
Devon started that when a positive and a negative integer are multiplied together, the product will be negative. Use these integers to answer the questions:Part A: Is Devons statement always true, sometimes true, or always false? Write two equations to support your answer.Part B Write a rule for determining the sign of the product when multiplying a positive and a negative integer.
Answers
Note:
Multiplication of a positive and negative number gives a negative number as the product.
+ve x -ve = +ve
Part A:
Devon's statement is always true
For example,
-12 x 11 = -132
-7 x 16 = -112
Part B:
Rule: Multiplication of a positive integer with a negative integer gives a negative integer as the result
Please help, I’ll give you 20 pts and 30 later I just don’t want to waste them.
Answers
The discriminant and the point of tangency are used to find the values of the variables as follows;
7. The line y = m·x is tangent to the curve x² + 2·x·y + 2·x = 1 when m = 1
8. The line y = 2·x - k is tangent to the curve x² + y² = 5, when k = ±5
Exercise 11.
1. The discriminant of the equation x² - 6·x + y² - 2·y + 2 = 0 is zero when y = x - 6, therefore the line x - y = 6 is tangent to the curve x² - 6·x + y² - 2·y + 2
2. The exact values of k for which the line 2·x + 3·y = k is tangent to the curve C = 4·x² + 9·y² = 36 is k = ±6·√2
What is the discriminant in a quadratic equation?The discriminant is the values which are within the radical sign of the quadratic formula.
7. At the point of tangency, the discriminant is 0
The equation is; x² + 2·x·y + 2·x = 1
The equation of the line is; y = m·x
Rewriting the equation of the curve, we get;
x² + 2·x·y + 2·x = 1
2·x·y = 1 - x² - 2·x
[tex]y = \dfrac{1 - x^2 - 2 \cdot x}{2\cdot x}[/tex]
At the point of tangency, we have;
[tex]y = \dfrac{1 - x^2 - 2 \cdot x}{2\cdot x} = m\cdot x[/tex]
1 - x² - 2·x - 2·m·x² = 0
1 - x² - 2·m·x² - 2·x = 0
1 - x²·(1 - 2·m) - 2·x = 0
The discriminant is zero at the point of tangency, which gives;
((-2²) - 4× (-(1 - 2·m)) × 1) = 0
8 - 8·m = 0
8 = 8·m
m = 8 ÷ 8 = 1
The value of m for which the line y = m·x is tangent to x² + 2·x·y + 2·x = 1 is m = 18. The line y = 2·x - k is tangent to the curve, x² + y² = 5 where we have;
y² = 5 - x²
y² = (2·x - k)²
5 - x² = (2·x - k)²
Which gives;
k² - 4·k·x + 5·x² - 5
5·x² - 4·k·x + k² - 5
At a tangent point the discriminant is therefore;
(-4·k)² - 4 × 5 × (k² - 5) = 100 - 4·k² = 0
100 - 4·k² = 0
4·k² = 100
k² = 100 ÷ 4 = 25
k = √(25) = ±5
The value of k is ± 5Exercise 11
1. The equation of the line is; x - y = 6
The equation of the curve is; x² - 6·x + y² - 2·y + 2 = 0
From the equation, x - y = 6, we get; y = x - 6
Which gives; x² - 6·x + (x - 6)² - 2·(x - 6) + 2 = 0
x² - 6·x + (x - 6)² - 2·(x - 6) + 2 = 2·x² - 20·x + 50 = 0
2·x² - 20·x + 50 = 0
x² - 10·x + 25 = 0
The discriminant is; (-10)² - 4 × 1 × 25 = 0
Therefore;
The number of points at which the line x - y = 6 intersects the curve is one point and the line x - y = 6 is therefore a tangent to the curve x² - 6·x + 2·y² - 2·y + 2 = 0,3. The curve 4·x² + 9·y² = 36 has the tangent line 2·x + 3·y = k, when we have;
4·x² + 9·y² = 36
9·y² = 36 - 4·x²
y² = (36 - 4·x²)/9 = 4 - (4/9)·x²
y² = 4 - (4/9)·x²
2·x + 3·y = k
3·y = k - 2·x
y = (k - 2·x)/3
y² = ((k - 2·x)/3)²
4 - (4/9)·x² = ((k - 2·x)/3)²
4 - (4/9)·x² - ((k - 2·x)/3)² = 0
8·x² - 4·k·x + k² - 36 = 0
(-4·k)² - 4 × 8 × (k² - 36) = 0
1152 - 16·k² = 0
16·k² = 1152
k² = 1152 ÷ 16 = 72
k = √(72) = ±6·√2
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Mr. Pittman's language arts class participated in a Read-And-Write challenge during April. For each of the first 10 days, Felipe read for x minutes and wrote in his journal for 15 minutes. For each of the last 20 days, Felipe read for x minutes and wrote in his journal for 30 minutes.
Answers
The expression representing the time Philip spent in the challenge is 30x+750.
If an expression was created utilizing integer variables, constants, and algebraic operations, it is said to be algebraic (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
Transcendental numbers, like such and e, are not algebraic, though, as they are not produced by the application of algebraic operations and numerical constants.
While it is common to produce with Euclidean expressions, the definition of e requires an unlimited number of algebraic operations.
An expression is considered to be rational if it can be completely reduced to a reasonable fraction using the principles of arithmetic operations ( associative properties and commutative properties of multiplication and addition, distributive property and rules for the operations on the fractions).
For the first 10 days:
read =10 x wrote 15 × 10 = 150
For the last 20 days
read =20 x
wrote = 30×20 = 600
Hence the total expression is 30x+750.
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For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
Answers
Value of m for which the graph of y = 3x² + 7x + m have two
x- intercepts is equal to m < 49 /12.
As given in the question,
Given graph equation:
y = 3x² + 7x + m
Graph y = 3x² + 7x + m has two x-intercepts if and only if
3x² + 7x + m<0 __(1)
Formula used to calculate x value is x = -b/2a
Compare with the standard form:
a= 3
b=7
c=m
x= -7/ 2(3)
= -7/6
Substitute x=-7/6 in (1)
3(-7/6)² + 7(-7/6) +m<0
⇒49/12 -49/6 +m <0
⇒-49/12 +m<0
⇒m< 49/12
Therefore, Value of m for which the graph of y = 3x² + 7x + m have two
x- intercepts is equal to m < 49 /12.
The complete question is:
For what values of m does the graph of y = 3x²+ 7x + m have two x-intercepts?
a. m > 25/3
b. m < 25/ 3
c. m < 49 /12
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2. Each egg carton holds 12 eggs. The number of eggs is_______
to the number of egg cartons.
Answers
Each egg carton holds 12 eggs. The number of eggs is proportional to the number of egg cartons.
What does the word "proportional" mean?
In a proportionate relationship, two amounts fluctuate at the same rate, maintaining the consistency of their relationship.When two ratios are equal, they are said to be in proportion. The time it takes a train to travel 50 kilometers per hour, for instance, is equal to the time it needs to travel 250 kilometers over the course of five hours. e.g., 250km/5 hours at 50 km/h.Comparing the quantity of eggs and egg cartons is what we're attempting to do.
Since each carton contains 12 eggs, we can be certain that there will be 12 times as many eggs as there are cartons. Increases in egg production will follow increases in carton production, and vice versa.
Equal or having the same value are definitions of equivalent. Because 1/4, 2/8, and 0.25 all have the same value, they are all comparable. They are not equal because we only have 12 eggs in a carton.
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Name the image of (4, - 2) after being translated along the vector < -2, -5 >.
Answers
To translate a point given its coordinate and a vector to translate by, we can simply add each value of the vector to the corresponding x and y coordinates of the point, so:
[tex](4,-2)\longrightarrow(4-2,-2-5)=(2,-7)[/tex]So, the image of the translations is (2, -7).
The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Complete parts a..
H=119 ft
A. Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
Answers
The ratio of height of the building to the number of floors is 119/7 and the unit ratio is 17 which means that the height of each floor is 17 ft.
In the given question,
The height of a building is proportional to the number of floors.
In the building have 7 floors.
That means, n = 7
the height of building H = 119 ft.
Since the height of a building is proportional to the number of floors.
So [tex]\frac{H}{n}=k[/tex] where k = constant.
Firstly we have to find the ratio of height of the building to the number of floors.
As we know, H = 119 ft, n = 7
So the ratio,
[tex]\frac{H}{n}=\frac{119}{7}[/tex]
The ratio of height of the building to the number of floors is 119/7.
Now we have to find the unit rate.
To find the unit rate we have to divide the height of building to the number of floors.
As we know,
[tex]\frac{H}{n}=\frac{119}{7}[/tex]
now simplifying the ratio by dividing the both number by 7
Unit ratio [tex]=\frac{H}{n}[/tex]
Unit ratio [tex]=\frac{119/7}{7/7}[/tex]
Unit ratio [tex]=\frac{17}{1}[/tex]
Unit ratio = 17
Hence, the unit ratio is 17 ft which means that the height of each floor is 17 ft.
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7. The graph of f(x) = (1/2)^x was transformedto form the graph of b(x) = -(1/2)^x Whichdescribes the transformation?
Answers
Given:
There are given the function:
[tex]f(x)=(\frac{1}{4})^x[/tex]And,
The transferred function is:
[tex]f(x)=-(\frac{1}{4})^x[/tex]Explanation:
According to the question:
We need to describe the transformation:
So,
We can see that in the transfer function, there is given that a negative sign.
So,
The transformation is:
Reflection on the x-axis: reflected:
Final answer:
Hence, the correct option is A.
rewrite 3^15x3^-3/3^-5x3^7 as a single term of the form 3", where n is an integer.
Answers
Using the law of indices
[tex]\frac{3^{15-3}}{3^{-5+7}}[/tex]This can further be simplify into;
[tex]\frac{3^{12}}{3^2}[/tex][tex]=3^{12-2}[/tex][tex]=3^{10}[/tex]5. There are 2850.5 miles between Houston, TX and
Vancouver, Canada. How many meters is that equal to if 1
mile is equal to 1.6 km?
1km = 1000m
Answers
Answer:
Step-by-step explanation:123123km equals to 110m
The Busy Bee store bottles fresh jars of honey at a constant rate. In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey.
Determine the constant of proportionality.
36
12
4
0.08
Answers
If the Busy Bee store bottles fresh jars of honey at a constant rate and In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey, then the constant of proportionality is 12
The Busy Bee store bottles fresh jar of honey at a constant rate.
That means number of bottle is directly proportional to the time taken
Number of bottle they bottles = k × Time taken
Where k is the constant of proportionality
In 3 hours, it bottles 36 jar
36 = k ×3
k = 36/3
k = 12
In 7 hours, it bottles 84 jar
84 = k × 7
k = 84/7
k = 12
Hence, if the Busy Bee store bottles fresh jars of honey at a constant rate and In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey, then the constant of proportionality is 12
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(m^a*m^a+2)^4 Simplify this expression
Answers
Answer:
m^8a+8m^6a+24m^4a+32m^2a+16
Step-by-step explanation:
Simple binomial theorem.
(x+y)n = nC0 xny0 + nC1 xn-1y1 + nC2 xn-2 y2 + ... + nCn-1 x1yn-1 + nCn x0yn
OR
(x+y)n = ∑nk=0nCk xn-kyk = ∑nk=0nCk xkyn-k
plugging the numbers into this theorem yields that answer.
pre calculus homework please help
Answers
[tex]\begin{cases} f(x)=5x-2\\\\ g(x)=x^2-5x+11\\\\ (f\circ g)(x)=f(~~g(x)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(1)=(1)^2 -5(1)+11\implies g(1)=7 \\\\\\ f(~~g(1)~~)\implies f(~~7~~)=5(7)-2\implies \stackrel{(f\circ g)(1)}{f( ~~ 7 ~~ )}=33[/tex]
What is the distance between the following points?The answer choices areA- 9B- 10C- square root of 21D- square root of 58
Answers
Given:
Points: (3, -9) and (6, -2) on a coordinate plane
To find:
The distance between the two points
To determine the distance between the points, we will apply the formula:
[tex]$$dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$$[/tex][tex]\begin{gathered} x_1=3,y_1=-9,x_2=6,y_2\text{ = -2} \\ dis\tan ce\text{ = }\sqrt{(-2-(-9))^2+(6-3)^2} \\ dis\tan ce\text{ = }\sqrt{(-2+9)^2+(6-3)^2} \\ dis\tan ce\text{ = }\sqrt{(7)^2+(3)^2} \end{gathered}[/tex][tex]\begin{gathered} distance\text{ = }\sqrt{49\text{ + 9}} \\ distance\text{ = }\sqrt{58} \end{gathered}[/tex]