Answer:
the answer to your question is the fourth one listed on your multiple choice, where it shows it curving at the lowest point out of all the others , in the 4th quadrant
Will mark brainliest, please answer:)
Find the value of PQ . Round the answer to the nearest tenth. Explain
( Use Pythagorean Theorem 3D rule and Question is above)
Answer:
√135
Step-by-step explanation:
3^2+b^2=12^2
9+b^2=144
9-9+b^2=144-9
b^2=135
√135=b
Rewrite the following linear equation in slope-intercept form.write your answer with no spaces. Y-5=3(x+1)
Answer:
[tex]y=3x+8[/tex]
Step-by-step explanation:
Slope-intercept form is as follows:
[tex]y=mx+b[/tex]
In this equation, "m" represents your slope and "b" represents your y-intercept.
To convert your equation into slope-intercept form, distribute your 3 across your parentheses and then add 5 to both sides to isolate for y.
[tex]y-5=3(x+1)\\y-5=3x+3\\y=3x+8[/tex]
2 Points
Which shows the equation below written in standard form?
9 - 7x = (4x-3)2 + 5
O A. 16x2 - 17x- 5 = 0
O B. 16x2-31x+ 5 = 0
O C. 16x2 - 31x- 5 = 0
O D. 16x2 - 17x+ 5 = 0
Answer:
D
Step-by-step explanation:
Given
9 - 7x = (4x - 3)² + 5 ← expand the squared factor
9 - 7x = 16x² - 24x + 9 + 5, that is
9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )
0 = 16x² - 17x + 5, that is
16x² - 17x + 5 = 0 ← in standard form → D
-2y+x=2y-8 what is the y-int and x-int?
Answer:
x-intercept (-8,0)
y-intercept (0,2)
Step-by-step explanation:
To find the x-intercept, you set y equal to 0.
Like this:
-2(0)+x=2(0)-8
0 +x=0 -8
x= -8
So the x-intercept is (-8,0).
To find the y-intercept, you set x equal to 0.
Like this:
-2y+0=2y-8
-2y =2y-8
Subtract 2y on both sides
-4y=-8
Divide both sides by -4
y=2
So the y-intercept is (0,2)
In a graph, x represents the number of months since a
business opened, and y represents the total amount of
money the business has earned. The following three
points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each
represents.
Answer:
The slope is 745 and the y-intercept is 500
The slope means The amount of money increases by $745 per month
The y-intercept means the business opened with initial amount $500
Step-by-step explanation:
* Lets explain how to solve the question
- The graph represents the relation between the number of months
since the business opened and the total amount of money the
business has earned
- The x-axis represents the number of month
- The y-axis represents the amount of money
- In the line the slopes from any two points on the line are equal
- The slope of the line whose end-points are (x1 , y1) and (x2 , y2)
is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
- The equation of the line is y = mx + c ,where m is the slope of the line
and c is the y-intercept
* Lets check is the relation between x and y is linear by calculating the
slopes between each to points
∵ (2 , 1990) , (5 , 4225) , (9 , 7205) are points from the graph
- m1 is the slope of the points (2 , 1990) and (5 , 4225) , m2 is the slope
of the points (5 , 42250) and (9 , 7205) , m3 is the slope of the points
(2 , 1990) and (9 , 7205)
∵ [tex]m_{1}=\frac{4225-1990}{5-2}=745[/tex]
∵ [tex]m_{2}=\frac{7205-4225}{9-5}=745[/tex]
∵ [tex]m_{3=\frac{7205-1990}{9-2}}=745[/tex]
∴ m1 = m2 = m3 = 745
∴ The relation between the number of months and the amount of
money is linear
* The slope is 745
∵ The form of the linear equation is y = mx + c
∵ m = 745
∴ y = 745 x + c
- The y-intercept means the line intersect the y-axis at point (0 , c),
then to find c substitute x and y of the equation by the coordinates
of any point on the line
∵ x = 2 , y = 1990
∴ 1990 = 745(2) + c
∴ 1990 = 1490 + c ⇒ subtract 1490 from both sides
∴ c = 500
∵ c is the y-intercept
* The y-intercept is 500
* The slope represents the rate of increasing of money per month
∴ The amount of money increases by $745 per month
* The y-intercept represents the initial amount of money when the
business opened
∴ The business opened with initial amount $500
Answer:
The slope is 745 and the y-intercept is 500
The slope means The amount of money increases by $745 per month
The y-intercept means the business opened with initial amount $500
Step-by-step explanation:
6x-2y=-6 find the slope and the y intercept of the line
Answer:
y-int:3
slope:-3
Step-by-step explanation:
6x-2y=-6
change to y=mx+b: -2y=-6x-6
divide by -2
y=3x+3
There are 40 students in a class. Girl:
make up 60% of the class. 25% of the
girls wear glasses. How many girls in
the class wear glasses?
Answer:
6
Step-by-step explanation:
60% of 40 = 24
25% of 24 = 6
Therefore, 6 girls in the class wear glasses.
I need help please.
Answer:
Step-by-step explanation:
1/5 + 1/5^-2
1/5 + 1/25
1/5 = 5*1 / 5*5
5/25 + 1/25
6/25 which cannot be reduced or changed.
What is the volume of the composite figure with the dimensions shown in the 3 views? (Round to the nearest tenth)
Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
Which double angle or half angle identity would you use to verify the following: csc x sec x = 2 csc 2x
Answer:
b
Step-by-step explanation:
I would use b.
Why?
[tex]2 \csc(2x)[/tex]
[tex]2 \frac{1}{\sin(2x)}[/tex]
[tex]\frac{2}{\sin(2x)}[/tex]
[tex]\frac{2}{2\sin(x)\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)\cos(x)}{/tex]
[tex]\frac{1}{\sin(x)\frac{1}{\cos(x)}[/tex]
[tex]\csc(x) \sec(x)[/tex]
I applied the identity sin(2x)=2sin(x)cos(x) in line 3 to 4.
Answer: OPTION B.
Step-by-step explanation:
It is important to remember these identities:
[tex]csc(x)=\frac{1}{sin(x)}\\\\sec(x)=\frac{1}{cos(x)}[/tex]
Knowing this, we can say that:
[tex]csc(x) sec(x)=\frac{1}{sin(x)}*\frac{1}{cos(x)}=\frac{1}{sin(x)*cos(x)}[/tex]
Now we need to use the following Double angle identity :
[tex]sin(2x)=2sin(x)cos(x)[/tex]
And solve for [tex]sin(x)cos(x)[/tex]:
[tex]\frac{sin(2x)}{2}=sin(x)cos(x)[/tex]
The next step is to make the substitution into [tex]\frac{1}{sin(x)*cos(x)}[/tex] and finally simplify:
[tex]\frac{1}{\frac{sin(2x)}{2}}=\frac{\frac{1}{1}}{\frac{sin(2x)}{2}}=\frac{2}{sin(2x)}=2csc(2x)[/tex]
Suppose Q and R are independent events. Find P (Q and R) if P(Q) = 4/7
and P(R) = 1/2
Answer:
2/7
Step-by-step explanation:
If two events A and B are independent, then P(A and B)=P(A)P(B).
So since Q and R are independent, then P(Q and R)=P(Q)P(R).
Let's substitute and evaluate:
[tex]P(Q\text{ and }R)=P(Q)\cdot P(R)=\frac{4}{7} \cdot \frac{1}{2}=\frac{4}{14}[/tex].
Both 2 and 14 are divisible by 2, so to reduce 4/14 we could divide top and bottom by 2:
4/14=(4/2)/(14/2)=2/7
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 48°. The distance between the Gladstone and the Norman is 4590 yards. The Norman measures an angle of 55° between the Gladstone and the Voyager. To the nearest yard, what is the distance between the Norman and the Voyager?
Answer:
=3501 yards.
Step-by-step explanation:
The three ships form a triangle. From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°
Let the position of the Voyager be V that of Norman be N and that of the Gladstone be G
Then, the distance between Norman and voyager is g
g/sin G=v/ Sin V
4590/Sin 77=g/Sin 48
g=(4590 Sin 48)/Sin 77
=3500.8 yards
The distance between the Norman and the voyager= 3501 yards.
A circular pie has an area of 706.5 cm2. What is the radius of
the pie?
A)225cm
B)30cm
C)15cm
D)112.5
[tex]\large\boxed{\text{C}).\,15\,\text{cm}}[/tex]
Step-by-step explanation:In this question, we're trying to find what the radius of the circular pie is.
In this question, we know that the area of the pie is 706.5 cm²
We can use the area to find our radius.
We would use the formula [tex]r=\sqrt\frac{A}{\pi}[/tex] to find the radius.
R= radius
A = Area
Your equation should look like this:
[tex]r=\sqrt\frac{706.5}{\pi}[/tex]
Now, you will solve.
[tex]r=\sqrt\frac{706.5}{\pi}\\\\\text{You can make it simpler by turning}\, \pi\,\text{into} 3.14\\\\r=\sqrt\frac{706.5}{3.14}\\\\\text{Divide 706.5 by 3.14}\\\\r=\sqrt225\\\\\text{Now, get the square root of 225}\\\\r=15[/tex]
When you're done solving, you should get 15.
This means that the radius of the pie is 15 cm.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Final answer:
To find the radius of the pie given its area of 706.5 cm², we use the formula A = πr² and solve for r, yielding an approximate radius of 15 cm. This corresponds to option C) on the given list.
Explanation:
To find the radius of the pie given its area, we can use the area formula for a circle: A = πr². Since the area of the pie is given as 706.5 cm², we can rearrange the formula to solve for the radius (r).
The rearranged formula to solve for the radius is: r = √(A/π).
Substituting the given area, we have:
r = √(706.5 cm²/π)
r = √(706.5/3.14159265359)
r ≈ √(225)
r ≈ 15 cm
Therefore, the radius of the pie is approximately 15 cm, making option C) the correct answer.
Simplify (6^-4)^6
Please help me
Answer:
6^ -24
Step-by-step explanation:
We know that a^b^c = a^ (b*c)
(6^-4)^6 = 6^ (-4*6) = 6^ -24
If a triangle has sides of lengths 5, 8 and 12, it is a right triangle. true or false
Answer:
False.
Step-by-step explanation:
To see if these sides can form a right triangle, all we need to do is see if the following equation holds [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the larger measurement. [tex]a \text{ and } b[/tex] it doesn't really matter which you assign as 5 or 8.
So I'm choosing the following [tex]a=5,b=8,c=12[/tex].
[tex]c[/tex] has to be 12 because 12 is the largest.
Now we got to see if [tex]a^2+b^2=c^2[/tex] holds.
That is, we need to see if [tex]5^2+8^2=12^2[/tex] holds.
[tex]5^2+8^2=12^2[/tex]
[tex]25+64=144[/tex]
[tex]89=144[/tex]
That's totally false. 89 is definitely not 144 so 5,8, and 12 cannot be put together to form a right triangle.
Six more than the quotient of four and a number xxx.
Answer:
[tex]\large\boxed{\dfrac{4}{x}+6}[/tex]
Step-by-step explanation:
Six more than the quotient of four and a number x:
[tex]\dfrac{4}{x}+6[/tex]
Answer:
[tex]\frac{4}{x}+6[/tex]
Step-by-step explanation:
We have been given a word phrase. We are supposed to represent our given word phrase into an algebraic expression.
The quotient of four and a number x will be 4 divided by x. We can represent this information in an expression as:
[tex]\text{Quotient of four and a number }x=\frac{4}{x}[/tex]
Six more than the quotient of four and a number x would be [tex]\frac{4}{x}+6[/tex]
Therefore, our required expression would be [tex]\frac{4}{x}+6[/tex].
Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fruit before each draw. From these 40 trials Jenson estimates that the probability of picking an orange is 0.25, the probability of picking an apple is 0.3, and the probability of picking a pear is 0.45. How many times did Jenson pick an apple during the 40 trials?
[tex]\large\boxed{12\,\text{apples}}[/tex]
Step-by-step explanation:In this question, we're trying to find how many apples Jenson picked from the basket.
Lets gather information that can help us.
Important information:
Picked a fruit from a basket 40 timesProbability of picking an apple is 0.3With the information above, we can solve the question.
We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.
The probability of picking an apple is 0.3, which is equivalent to 30%
This means that 30% of the 40 times he picked an apple.
We would multiply 40 by 0.3 to get our answer.
[tex]40*0.3=12[/tex]
This means that Jenson picked 12 apples.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Answer: B.12
Step-by-step explanation:
Did do this right using PEMDAS
8/2(2+2)
Solve:
8/2(4)
8/2*4
8/8
=1
Answer:
nope its not. You should count it like this (8 / 2) * (2 + 2)
Step-by-step explanation:
(8 / 2) * (2 + 2)
4 * 4
16
[tex]\text{Hey there!}[/tex]
[tex]\text{PEMDAS means: Parentheses, Exponents, Multiplication, Division, Addition}\\\text{, \& Subtraction}[/tex]
[tex]\text{\underline{No}, it is \underline{NOT} correct because you had to work with the parentheses first}[/tex]
[tex]\dfrac{8}{2}(2 + 2) = \ ? \\ \\ (2 + 2) = 4 \\ \\ \dfrac{8}{2}(4) = \ ? \\ \\ \dfrac{8}{2}= 4 \\ \\ \text{4(4)\ = 16} \\ \\ \boxed{\boxed{\huge\text{Answer should be: 16 }}}[/tex]
[tex]\text{You had to do what was inside the parentheses first, then}\text{ divsion}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
what is the following qoutient? 3√8/4√6
Answer:
3 sqrt(3)
----------- or -----------
2 sqrt(3) 2
Step-by-step explanation:
3 sqrt(8)
-----------------
4 sqrt(6)
3 sqrt(4*2)
-----------------
4 sqrt(3*2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
3 sqrt(4) sqrt(2)
------------------------
4 sqrt(3) sqrt(2)
Canceling the sqrt(2) and sqrt(4) is 2
3*2
----------
4 sqrt(3)
3
-----------
2 sqrt(3)
We can simplify the answer be multiplying by sqrt(3)/sqrt(3)
3 sqrt(3)
----------- * ----------
2 sqrt(3) sqrt(3)
3 sqrt(3)
-----------
2 *3
sqrt(3)
-----------
2
The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which of the statements is true?
Answer:
the answer is D
Step-by-step explanation:
if you look on the graph and compare the statements you'll see none of them correlate except for the last one. 7 erasers cost 3.50, since the point on the graph is (7, 3.50)
Answer:
The correct option is D) Seven eraser cost $3.50
Step-by-step explanation:
Consider the provided graph.
The graph shows the relationship between the total cost and the number of erasers bought at the student store.
Here the x-axis represents the number of erasers bought and the y-axis represents the total cost.
Now consider the provided options.
Options (A) Each eraser cost $1.00
This option is incorrect because when x = 1 the value of y = 0.5, that means the cost of each eraser is $0.5
Options (B) Each eraser cost $1.50
This option is incorrect as the cost of each eraser is $0.5
Options (C) Three eraser cost $6
This option is incorrect because when x = 3 the value of y = 1.5, that means the cost of 3 eraser is $1.5
Options (D) Seven eraser cost $3.50
This option is correct because when x = 7 the value of y = 3.5, that means the cost of 7 eraser is $3.5
the product of 3 different positive integers is 8 . What is the sum of these integers ?
A : 7
B : 11
C : 13
D : 14
The sum of three positive integers given their product is 7, analyze the factors of the product and sum them up.
The sum of three positive integers whose product is 8 can be found by analyzing the factors of 8.
Given that the product of three different positive integers is 8, the three integers are 1, 2, and 4. Therefore, the sum of these integers is 1 + 2 + 4 = 7.
What is the solution to the system of equations?
y = 5x + 2
3x = -y + 10
(4, -18)
(-18, -4)
(7,1)
(1,7)
Answer:
(1, 7)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=5x+2&(1)\\3x=-y+10&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\3x=-(5x+2)+10\\3x=-5x-2+10\qquad\text{add 5x to both sides}\\8x=8\qquad\text{divide both sides by 8}\\x=1\\\\\text{put the value of x to (1):}\\\\y=5(1)+2\\y=5+2\\y=7[/tex]
Oliver has 0.5 of a gallon of water. He pours all of the water into 6 containers. If he pours the same amount of water into each container, how many gallons of water does Oliver pour into each container?
PLEASE SHOW WORK
Answer:
1/12 of a gallon of water in each container
Step-by-step explanation:
Answer = [tex]\frac{Water}{Containers}[/tex] = 1/12
Answer:
Oliver poured [tex]\frac{1}{12}[/tex] gallons of water in each container.
Step-by-step explanation:
Oliver has the amount of water = 0.5 gallons.
He pours all of the water into 6 containers.
So amount of water in each container will be = [tex]\frac{\text{Total amount of water}}{\text{Number of containers}}[/tex]
= [tex]\frac{0.5}{6}[/tex]
= [tex]\frac{\frac{1}{2} }{6}[/tex]
= [tex]\frac{1}{12}[/tex] gallons of water.
Therefore, in each container amount of water poured will be [tex]\frac{1}{12}[/tex] gallons.
Find the product (7v+8)(4v2 - 8v+1)
7v(4v2-8v+1)+8(4v2-8v+1)
28v3-56v2+7v+32v2-64v+8
Answer= 28v3 -24v2 -57v +8
Pleaseeeeeeee help .......ASAP
Answer:
Option A
Step-by-step explanation:
Given:
Center of circle = (h,k)= (3,8)
Radius = r = 5
The standard form of equation of circle with center and radius is:
[tex](x-h)^2+(y-k)^2=r^2\\Putting\ the\ values\\(x-3)^2+(y-8)^2=(5)^2\\Simplifying\\x^2+9-6x+y^2+64-16y=25\\x^2+y^2-6x-16y+9+64=25\\x^2+y^2-6x-16y+73=25\\x^2+y^2-6x-16y+73-25=0\\x^2+y^2-6x-16y+48=0[/tex]
Therefore, the general form of the equation of circle given is:
[tex]x^2+y^2-6x-16y+48=0[/tex]
Hence, option A is correct ..
need help asap. Consider the diagram.
Given that r||s and q is a transversal, we know that by the [________].
ANSWER
alternate interior angles theorem
EXPLANATION
According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.
From the above diagram line r is parallel to line s, therefore
[tex] \angle \: 3 \cong \angle6[/tex]
and
[tex] \angle \: 4\cong \angle5[/tex]
because they are alternate interior angles.
See attachment for how to spot alternate interior angles.
Question:
Given that r||s and q is a transversal, we know that by the [________].
Answer:
alternate interior angles theorem
Decide whether each of the following statements is true. If false, demonstrate why.
a. 6!= 6.5!
b. 4! + 2! = 6!
C. 6!/3!=2!
Answer:
a is the only true one if you meant 6 times 5!
Step-by-step explanation:
Before we being
n!=n*(n-1)*(n-2)*...(3)(2)(1)
Example: 5!=5(4)(3)(2)(1) and 10!=10(9)(8)(7)(6)(5)(4)(3)(2)(1)
Yes that operation is multiplication.
a) Does 6!=6*5!
Let's see
6!=6*5*4*3*2*1
5!=5*4*3*2*1
So 6*5!=6(5*4*3*2*1)=6*5*4*3*2*1=6!
So true!
b) Does 4!+2!=6! ?
4!=4(3)(2)(1)
2!=2(1)
6!=6(5)(4)(3)(2)(1)
Does
4(3)(2)(1)+2(1)=6(5)(4)(3)(2)(1)
24 +2 =720
26=720 (this is not true)
So 4!+2! is not 6!
c) Does 6!/3!=2! ?
6!=6(5)(4)(3)(2)(1)
3!=3(2)(1)
If you divide 6! by 3!, then the factors 3 and 2 and 1 cancel and you are left with 6(5)(4).
So the question becomes is 6(5)(4)=2!
2!=2(1)=2
6(5)(4)=2?
No way! That is saying 120=2 which is not true.
The evaluations of the statements are: (a) false because non-integer factorials are not defined, (b) false because the sum of 4! and 2! does not equal 6!, and (c) false because 6! divided by 3! is 120, not 2!.
Explanation:Let's evaluate each statement one by one.
a. 6!= 6.5!This statement is false. The factorial function is defined for non-negative integers. Since there is no definition for non-integer factorial such as 6.5!, this comparison is invalid. A correct statement may involve only integer factorials.
b. 4! + 2! = 6!This statement is also false. To show this, let's calculate each factorial:
4! = 4 x 3 x 2 x 1 = 242! = 2 x 1 = 26! = 6 x 5 x 4 x 3 x 2 x 1 = 720Adding 4! and 2! gives 24 + 2 = 26, which is not equal to 6! (720). This statement could be corrected by finding two factorials that add up to another factorial, if such a pair exists.
c. 6!/3!=2!This statement is false. By calculating the factorials, we have:
6! = 7203! = 6Therefore, 6!/3! is equal to 720/6, which simplifies to 120, not 2 (which is the value of 2!). The correct statement is 6!/3! = 120.
Learn more about Factorials here:https://brainly.com/question/15689921
#SPJ6
Which is the equation of a line perpendicular to the line y
This is a linear equation in standard form [tex]\( Ax + By = C \).[/tex] None of the options provided in the multiple-choice question exactly match this equation in standard form
To find the equation of a line perpendicular to the given line and passing through a specific point, follow these steps:
1. Identify the slope of the original line.
The line given is [tex]\( y = -10x + 1 \)[/tex]. The slope (m) of this line is -10.
2. Find the perpendicular slope:
The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. Therefore, the perpendicular slope [tex]\( m_{\perp} \) is \( \frac{1}{10} \)[/tex] because [tex]\( m_{\perp} = -\frac{1}{m} \).[/tex]
3. Use the point-slope form to find the equation:
The point-slope form is [tex]\( y - y_1 = m_{\perp}(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is the point the line passes through, which is (5,7) in this case.
4. Plug in the point and the perpendicular slope:
[tex]\( y - 7 = \frac{1}{10}(x - 5) \)[/tex].
5. Simplify the equation to get it into slope-intercept form [tex](\( y = mx + b \))[/tex]:
[tex]\( y = \frac{1}{10}x - \frac{1}{10}(5) + 7 \)[/tex].
[tex]\( y = \frac{1}{10}x - \frac{1}{2} + 7 \)[/tex].
[tex]\( y = \frac{1}{10}x + \frac{13}{2} \)[/tex] after combining like terms.
The equation in slope-intercept form is [tex]\( y = \frac{1}{10}x + \frac{13}{2} \),[/tex]which corresponds to one of the choices given in the multiple-choice question. Let's identify which one it is.
The equation that represents a line which is perpendicular to the line [tex]\( y = -10x + 1 \)[/tex] , passing through the point (5,7), is:
[tex]\[ y = \frac{1}{10}x + \frac{13}{2} \][/tex]
This can be simplified to:
[tex]\[ 10y = x + 65 \][/tex]
Or:
[tex]\[ x - 10y = -65 \][/tex]
This is a linear equation in standard form \( Ax + By = C \). None of the options provided in the multiple-choice question exactly match this equation in standard form
Solve x^2 - 8x = 3 by completing the square. Which is the solution set of the equation?
1st one
Step-by-step explanation:
I have answered ur question
Answer:
A
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{19}[/tex]
Solution set is (4 - [tex]\sqrt{19}[/tex], 4 + [tex]\sqrt{19}[/tex] )
PLEASE HELP AND EXPLAIN HOW TO DO IT IM CONFUSED
[tex]3\sqrt5-2\sqrt7+\sqrt{45}-\sqrt{28}=\\3\sqrt5-2\sqrt7+\sqrt{9\cdot5}-\sqrt{4\cdot7}=\\3\sqrt5-2\sqrt7+3\sqrt{5}-2\sqrt{7}=\\6\sqrt5-4\sqrt7[/tex]