Answer:
y = 1
I hope this helps!
Write the quadratic equation whose roots are −6 and 4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
Answer:
4(x-4)(x+6)
Standard form: 4x^2+8x-96
Step-by-step explanation:
Since the roots are set to be -6 and 4, we need to find 2 linear equations that are equal to 0 when x is at -6 and when x is at 4, and multiply them together. That would look like this:
(x-4)(x+6)
Notice how if I plug in 4 or -6 for x, the whole thing is going to be 0.
Now, if we were to factor this, the leading coefficient would be 1. Since we want to change the leading coefficient while still preserving our roots, we can just multiply the whole polynomial by 4:
4(x-4)(x+6)
Notice if I still plug in 4 or -6 for x, the whole thing is going to be 0.
In standard form, the polynomial would be 4x^2+8x-96.
is 10227 a rational number?
Answer:
Yes, 10227 is a rational number
Step-by-step explanation:
10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable
Graph the line that passes through the points (-2,2) and (-4,2) and determine the equation of the line
[tex]y = 2[/tex]. That's your equation.
The graph is the attachment.
HELP. GET YA MONEY HERE.
Answer:
so the dude above me can get brainliest :)
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:
Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.
According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Which property of equality accurately completes the proof?
А Reflexive
B Substitution
C Subtraction
D Transitive
Answer:
The correct answer is Transitive
Combine like terms and write an equivalent expression with fewer terms. 4x + 3x Group of answer choices
7x2
7x
12x2
12x
Answer:
7x
Step-by-step explanations:
4x + 3x
7x
the measure of an angle is 14° what is the measure of its supplementary angle?
Find the value of x.
Answer:
its 90 bro whenever you see that square on a corner its always 90 degrees
Step-by-step explanation:
Answer:
The answer is 90 degrees.
Whenever you see a square in the corner, it means it's 90 degrees.
It's also red, meaning that that is what you're trying to find.
Simplify the expression
Answer:
33
Step-by-step explanation:
You have to do the problem in the brackets and then multiply by 3
Answer:
33
Step-by-step explanation:
{(3+5)x2-5}x3
{8x2-5}x3
{16-5}x3
{11}x3
33
2
Type the correct answer in each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 – 4i
Equation B (t + yi) - (-6 + 14i) = 18 + 2i
In equation A, I =
and y =
.
In equation B, 1 =
and y =
Reset
Next
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i(a + bi) - (x + yi) = (a - x) + (b - y)iEquation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer: In equation A, -1 and 3 . In equation B, 12 and 16 .
picture below
Step-by-step explanation:
....................................
Answer:
i think the anwser is the third one c
Answer:
The answer is A. m || n.
Step-by-step explanation:
The answer is A. m || n.
If the lines are parallel, then the angle to the right of angle 3 is congruent to angle 1 since they are alternate interior angles of parallel lines. That makes m(1 + m<2 + m<3 = 180 deg.
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
What is the area of rectangle A'B'C'D'?
Answer:
12
Step-by-step explanation:
Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)
The area of rectangle before and after the 95° degrees rotation about point Q will be same.
What is the area of a Rectangle?
The area of a rectangle is the product of its length and width. Mathematically -
Area = length x width
Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'
The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.
Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.
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A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Which is the best estimate of the total number of bulbs the store orders?
A.
20
×
100
B.
20
×
150
C.
25
×
150
D.
25
×
200
Answer:
b
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
if k = -3 what is the value of k + (2k - 10) ?
A. –19
B. –7
C. 1
D. –14
Answer:
A
Step-by-step explanation:
We have the expression [tex]k+(2k-10)[/tex]
We want to find the value when k is -3. So, substitute -3 for k and evaluate:
[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]
Multiply:
[tex]=-3+(-6-10)[/tex]
Subtract:
[tex]=-3+(-16)[/tex]
Add:
[tex]=-19[/tex]
Therefore, our answer is A.
2 2/3 divided by 4
help
Answer:
[tex]\frac {2} {3}[/tex] is the answer
Step-by-step explanation:
[tex]\frac {8} {3}[/tex]÷[tex]\frac {4} {1}[/tex] can be turned into [tex]\frac {8} {3}[/tex]·[tex]\frac {1} {4}[/tex] using the KCF method. now we solve:
8\4=2
[tex]\frac {2} {3}[/tex] is the answer
i need help please what is the x
Answer:
x=4
Step-by-step explanation:
well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4
What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.
Answer:
y=12/10-15.6
Step-by-step explanation:
The slope of the line is [tex]-\frac{6}{5}[/tex].
To understand more, check below explanation.
Slope of line:The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that , points are (-8, -6) and (-18, 6)
So that,
[tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]
Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].
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Find the value of f(5) for the function.
f(a)=7(a+3)-4
f(5)=
Answer:
f(5)=52
Step-by-step explanation:
f(a)=7(a+3)-4
f(5)=7(5+3)-4
f(5)=7(8)-4
f(5)=56-4
f(5)=52
f(x)=2x-6 find f(-2)
NEED ANSWER ASAP
Brian sells muffins for $0.75 and bagels for $1.25. This weekend he wants to make $300. If Brian sells 96 bagels, how many muffins does he need to sell to reach his goal?
The lunch lady has 3 pounds of lasagna. If she makes 16-pound servings using this amount of lasagna, how many servings can she make?
Answer:
3
Step-by-step explanation:
Answer:
5 1/3 servings
Step-by-step explanation:
16/3 = 5.33 = 5 1/3 servings
The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)
Answer:
y = -5/4x - 10.75
Step-by-step explanation:
First, put the equation in slope intercept form by isolating y:
5y - 4x = 10
5y = 4x + 10
y = 4/5x + 2
Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4
Plug in the slope and the given point into y = mx + b to find b:
y = mx + b
8 = -5/4(-15) + b
8 = 18.75 + b
-10.75 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -5/4x - 10.75
Answer:
5x + 4y + 43 = 0
Explanation:
y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by 5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
convert to standard form:
5x + 4y + 43 = 0
-66 = -9n + 16n + 4
Solve these step by step pls
Answer:
n= -10
Step-by-step explanation:
-66=7n+4
-7n=4+66
-7n=70
n=70/-7
n= -10
Answer:
n = -10
Step-by-step explanation:
-66 = -9n + 16n + 4
1. I started by subtracting 4 on both sides of the equation this gives you -70 = -9n + 16n
2. I then combined the like terms 16n and -9n on the right side of the equation. We do this by subtracting 9n from 16n. Which gives you -70 = 7n
3. We then divide both sides by 7 in order to get -10 = n
This gives you your final answer of n = -10
Write and solve the equation and then check your answer.
The difference between a number and four hundred forty is five hundred eighty-five.
Complete the statements.
The equation that correctly models the problem is
To undo what has been done to the variable,
both sides of the equation.
The solution of the equation is
Check the solution by substituting for the variable and simplifying.
1)Intro
Answer:the first one is n-440=585
The second one is add 440 to
The third one is n = 1025
The last one is 1025
Step-by-step explanation: got this all right on edge
Answer:
The equation that correctly models the problem is
✔ n – 440 = 585
.
To undo what has been done to the variable,
✔ add 440 to
both sides of the equation.
The solution of the equation is
✔ n = 1025
.
Check the solution by substituting
✔ 1025
for the variable and simplifying.
Square root 2-x =x-2
Answer:
The square root of 2-x+x-2 is the square root of x (2-x)
Step-by-step explanation:
Find the sum to infinity of the infinite G.P.
1-½+¼........
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
Find the total earnings based on the given information.
Base: $22,000, Total Sales: $99,000, Commission: 3%
Enter the correct answer in the box.
Answer:
$24,970
Step-by-step explanation:
22,000+(99,000•0.03)=22,000+2,970=24,970
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
HI PLEASE HELP AH - ill mark brainliest !
if you flip three coins, the probability of getting three heads is 1/8. Interpret this probability.
The interpretation of the probability is there is a 12.5% chance of obtaining three heads when three coins are flipped
The probability is given as:
[tex]\mathbf{Pr = \frac 18}[/tex]
The above represents the probability of flipping a head three times.
Express as decimal
[tex]\mathbf{Pr = 0.125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 12.5\%}[/tex]
This means that, there is a 12.5% chance of obtaining three heads when three coins are flipped
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