Answer:
a) x = -2+√3 and -2-√3
b) x = -1 + 2√3/3 and -1 - 2√3/3
c) x = 3.185 and 0.315
Step-by-step explanation:
To solve the following quadratic equation, we will use the general formula
x = -b±√b²-4ac/2a
a) x²+4x+1 = 0
a = 1, b = 4 and c = 1
Substitute into the formula
x = -4±√4²-4(1)(1)/2(1)
x = -4±√16-4/2
x = -4±√12/2
x = -4±2√3/2
x = (-4+2√3)/2 and (-4-2√3)/2
x = -2+√3 and -2-√3
b) 3x²+6x-1 = 0
a = 3, b = 6 and c = -1
Substitute into the formula
x = -6±√6²-4(3)(-1)/2(3)
x = -6±√36+12/6
x = -6±√48/6
x = -6±4√3/6
x = (-6+4√3)/6 and (-6-4√3)/6
x = -1 + 2√3/3 and -1 - 2√3/3
c) 2x² - 7x + 2 = 0
a = 2, b = -7 and c = 2
x = -(-7)±√(-7)²-4(2)(2)/2(2)
x = 7±√49-16/4
x =7±√33/4
x = 7±5.74/4
x = 7+5.74/4 and 7-5.74/4
x = 12.74/4 and 1.26/4
x = 3.185 and 0.315
Ms. Fry started walking as her New Year's resolution. She calculated that she can walk ½ mile in ¼ of an hour. What is her walking rate in miles per hour?
Answer:
the walking rate miles per hour is 2 miles per hour
Step-by-step explanation:
The computation of the walking rate miles per hour is shown below;
Given that
She can walk half mile in one-fourth of an hour
= Miles ÷ hours
= (1÷ 2) ÷ (1 ÷4)
= 0.50 ÷ 0.25
= 2 miles per hour
Hence, the walking rate miles per hour is 2 miles per hour
The same is considered
A) Simplify (z^3)^4
B) simplify 18x^8y^5 divided by 2x^5y
Answer:
A)z12 B)9x^3 y^4
Step-by-step explanation:
Washington High School has a total of 625 students. There are 250 girls in the school. What is the ratio of girls to boys at Washington High School?
A) 2:3
B) 2:5
C) 3.1
D) 3.2
Answer:
B)
Step-by-step explanation:
625:250=2.5
so i think it is B
Answer:
A 2:3
Step-by-step explanation:
625-250= 375 which is the number of boys in the school now it's 375 and 250
250:375
= 250/375
Dividing by 5/5, we have,
50/75
Again, Dividing by 5/5, we have,
10/15
Again, Dividing by 5, we have,
2/3
Hence, the ratio 250:375 in the simplest form will be 2:3
A cell phone plan costs $200 to start. Then there is a $50 charge each month
What is the label for the y axis?
Answer:Depending on how high u do it either by 0,25,50 or 0,50,100
Step-by-step explanation:
Minha says triangle A with angles measuring 34 ° and 57 ° is similar to triangle B with angles measuring 57 ° and 89 ° . What Minha said is correct, but why is she correct?
A. Minha is correct because each triangle has an angle measuring 57 °
B. Minha is correct because 180 - (34 + 57) = 89
which means two angles in triangle A are congruent to two angles in triangle B
Answer:
b
Step-by-step explanation:
Answer: D./Yes, because 180
- (34 + 57) = 89 which means two angles in triangle A are congruent to two angles in triangle B
Step-by-step explanation:
-X + 5 + 3x = 4 + 2x + 1
Answer;
its answer is 0.
Step-by-step explanation:
-X+5+3X=4+2X+1=-X+3X-2X+5-4-1=-3X+3X+5-5=cut -3X+3Xand +5-5=answer is 0I need only 16 and 17 please help
9514 1404 393
Answer:
16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))
17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))
Step-by-step explanation:
We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)
16.
a) The tail is invariant, so the rotation is (-90°, (4, 3)).
b) The tip is invariant, so the rotation is (90°, (0, 3)).
c) The origin is invariant, so the rotation is (-90°, (0, 0))
__
17.
a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).
b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).
c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).
_____
Additional comment
If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.
PLEASE HELP!!!! Which equation describes this line?
10
(1,9)
6-2,3)
O A. Y-3 = 2(x - 2)
B. y - 9 = 2(x - 1)
O C. y - 1 = 2(x - 9)
D. y-2 = 2(x - 3)
Answer:
y- 9 = 2 (x -1)
Step-by-step explanation:
im traing to make sure
Simplify the expression below.
45 × 43
A.
45
B.
48
C.
415
D.
1615
Answer:
1935 that's the answer when u simplify it
What is the slope of the line passing through the points (-1, 3) and (4, -7)?
A: -2
B: -4/3
C: 2
D: 3/4
Answer:
-7-3/4+1= -2
Hence its A
Choose the fraction that is equal to:
Answer:
245/999
Step-by-step explanation:
A mechanic charges $43 per hour for labor and $217 for parts. The total bill is $432. How
many hours did the mechanic work?
Answer:
5 hours
Step-by-step explanation:
217+43+43+43+43+43=432
HURRY
Which is the largest ratio?
StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3
StartFraction 5 Over 36 EndFraction
Image with alt text: StartFraction 5 Over 36 EndFraction
2:9
2:9
3 to 18
3 to 18
1:3
1:3
Answer:
D: 1:3
Step-by-step explanation:
I took the test and got it right
1. Nico has the following marbles.
.
5 red
4 yellow
3 black
2 white
Nico will randomly choose one marble. What is
the probability that he will choose a white
marble?
B.
c.
Answer:
2/14
Step-by-step explanation:
See there is a total of 14 marbles overall. the question is asking what is the chance that you will pick a white marble out of the 14 marbles in total. Therefore you only have a 2/14 or 1/7 of a chance that you will pick that white marble.
h e l p please. can't solve
Answer:
[tex] \frac{1}{2} 3 \\ [/tex]
Step-by-step explanation:
Your welcome
What's the expression that is equal to (9x+ 3) - (5x-7)
Answer:
4x+10
Step-by-step explanation:
Answer: 4x + 10
Step-by-step explanation:
(9x + 3) - (5x - 7)
Distribute
9x + 3 - 5x + 7
Combine like terms
4x + 10
4x + 10 is the simplified version of the original expression so they're equivalent.
Edit: I made a mistake at first, then changed it to the right one. This one is correct. :)
A circle has a radius of 4 x^3 y^5 cm. The area of a circle can be found using A equals pi r^2
What is the area of this circle in square centimeters?
Answer:
Step-by-step explanation:
There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.
This diagram shows the circumference, diameter, center, and radius on a circle.
line v has a slope of - 5/2. line w has a slope of - 2/5. are line v and line q parallell, perpendicular, or neither?
Answer:
neither
Step-by-step explanation:
Parallel lines need to have the same slope.
Perpendicular lines have opposite reciprocal slopes.
-5/2 and -2/5 are opposite reciprocals nor are they equal.
What are the coefficients of the like terms in this expression?
18x 9xy + 12x
please help me please will give brainliest to anyone
Answer:C
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
1/2(6a+8)
Please help me
Step-by-step explanation:
Given
1/2 ( 6a + 8)
Taking common
= 1/2 * 2( 3a + 4)
= 3a + 4
Hope it will help you :)❤
Answer:
3a+4
Step-by-step explanation:
Simplify 1/2
Then you should do 1/2*(6a+8)
Then you pull out the like terms
6a + 8 = 2* (3a + 4)
Answer:
3a + 4
find the measure of the missing angle
Step-by-step explanation:
given
as it is right angled triangle so
Let the unknown angle be x Then
90° + 40° + x = 180° ( being sum of angles of triangle)
130° + x = 180°
x = 180° - 130°
Therefore x = 50°
Hope it will help you :)❤
Answer:
The other angle will be 50°.
Step-by-step explanation:
Given that the diagram shows a right angle triangle (90°) and the total sum of angles of a triangle is 180°. In order to find the other angle, you have to subtract :
x + 40° + 90° = 180°
x + 130° = 180°
x = 180° - 130°
x = 50°
please help me before i fail!! Find the solution(s) of the following equation.
c^2 = 144/169
Choose all answers that apply:
A) c = 12/13
B) c = -12/13
C) c = 14/15
D) c = -14/15
E) None of the above
Answer: A or B but really A
Step-by-step explanation:
c² = 144/169
√c² = √144/169
c = 12/13
or
-12/13² = 144/169
Hope that helped! I recommend choosing A
The solutions to the equation c² = 144/169 are c = 12/13 and c = -12/13, as they satisfy the equation when substituted into it. Thus, options A and B are the correct answers.
The equation is given as follows:
c² = 144/169
To find the solutions of the equation c² = 144/169, we can take the square root of both sides of the equation.
√(c² = ±√(144/169)
Since the square root of a number can be positive or negative, we have two possibilities for the solutions:
c = ±√(144/169)
Simplifying the square root of 144/169 gives:
c = ±(12/13)
So, the solutions to the equation are:
A) c = 12/13
B) c = -12/13
Therefore, options A and B are the correct answers.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ4
Which symbol replaces the box to make the statement true? 18÷6+3□6+12÷3 = >
Answer:
True answer is <
Step-by-step explanation:
18÷6+3
=3+3
=9
and
6+12÷3
=6+4
=10
Ans:<
Answer:
<
Step-by-step explanation:
PLEASE HELP,, MARKING BRAINLIEST!!!
Given coordinates T(10,18) and the midpoint of segment ST at (5,-8), what are the coordinates of point S?
Answer:
S = (-4, -34)
Step-by-step explanation:
T=(10, 18) is one end of the segment
the midpoint is located at (5, -8)
therefore, using the formula for midpoint, we can find the other end of the segment (point S)
Midpoint x-value = xa + (xb - xa)/2
in our case;
5 = 10 + (xb-10)/2
3 - 10 = (xb-10)/2
-7 = (xb-10)/2
-14 = xb-10
xb = -14 + 10 = - 4
Now for the y value of the midpoint:
Midpoint y-value = ya + (yb - ya)/2
in our case:
-8 = 18 + (yb - 18)/2
- 26 = (yb - 18)/2
- 52 = yb - 18
yb = -52 + 18 = -34
Then. point S is located at: S = (-4, -34)
Answer: (0, -34)
Step-by-step explanation:
[tex]M(5,-8)=(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2})\\(5,-8)(\frac{10 + x_{2} }{2} ,\frac{18 + y_{2} }{2})[/tex]
[tex]5=(\frac{10 +x_{2} }{2})\\ 10=10+x_{2} \\-10-10\\0 = x_{2}\\x_{2} =0[/tex] [tex]-8=(\frac{18 +y_{2} }{2})\\ -16=18+y_{2} \\-18-18\\-34 = y_{2}\\y_{2} =-34[/tex]
Coordinates of point S = (0, -34)
can someone please help me !!!!!!
Answer:
Slopes are= 3/2, 6, -6, -1, 1/2, 1
Vertical Intercepts are= (0,5), (0,6), (0,8), (0,7), (0,-10), (0,0)
Equations= y= -6x+8 y= 1/2x-10
Step-by-step explanation:
Hope it helped!!
what is 30% of 25.45?
Answer:
7.635
Step-by-step explanation:
i hope it helps:)
Answer:
7.635
Step-by-step explanation:
25.45 × 0.3 = 7.635
Morgan is trying to complete the square. What number should she put in the blank?
A) -9
B) 18
C) 81
D) -81
Answer:
C. 81
Step-by-step explanation:
x^2-18x+81
(x-9)(x-9)
Use intercepts to graph the linear equation -2x+7y=-21 Question 2
Identify the points corresponding to the intercepts
Answer:
The point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
The point representing the x-intercept is: (10.5, 0)
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Step-by-step explanation:
Given the linear equation
-2x+7y=-21
Determining the y-intercept
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in the equation
-2x+7y=-21
-2(0) + 7y = -21
0+7y = -21
7y = -21
divide both sides by 7
7y/7 = -21/7
y = -3
Therefore, the point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
Determining the x-intercept
We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
substituting y = 0 in the equation
-2x+7y=-21
-2x+7(0) = -21
-2x + 0 = -21
-2x = -21
divide both sides by -2
-2x / -2 = -21 / -2
x = 21/2
x = 10.5
Therefore, the point representing the x-intercept is: (10.5, 0)
The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Please check the attached graph.
Hi so i have a test tmmr about proportional relationship can anyone help me by chance at 1:40