Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
HELP ME PLEASEEEEEEEEE
Answer:
x=24
Step-by-step explanation:
Hope this helps
Answer:
24°
Step-by-step explanation:
Take 2 lol
Once again, AOC is a straight angle, meaning it's 180°.
All you have to do is 180° - 156° and you'll get 24°, your answer.
A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:
[tex]<JKM+<MKL=180^\circ\\\\[/tex]
Substitute the values of both angle to solve the equation:
[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]
Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
Answer:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?
Answer:
a.-2
b.4
c.-3
Step-by-step explanation:
write a,b,c on top of each number to the left of the =0
Answer:
The values are: a ; (-2) b ; (4) c ; (-3)
Step-by-step explanation:
The quadratic equation is: ax^2+bx+c = 0
So, you can get your answers by using that.
Find last year's salary if, after a 4 % pay raise, this year's salary is $ 33,280.
Answer:
32000
Step-by-step explanation:
1.04x=33280
32000
Which statement can be represented by the equation 18+m-7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
Eighteen decreased by a number, m, is seven point two.
Step-by-step explanation:
18+m=7.2
m=7.2-18
m= -10.8
18+(-10.8)
18-10.8=7.2
Eighteen decreased by a number m is seven point two
The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
HOW TO ANALYZE WORD PROBLEM?Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.
According to this question, the following expression is given: 18+m = 7.2
The mathematical expression can also be written as m = 7.2 - 18
Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
Learn more about word problems at: https://brainly.com/question/468645
pls answer for brainliest!!! thank you
Answer:
$6 per week, $600 total
Step-by-step explanation:
$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.
After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.
$200+$200+$200 (Father+mother+Jane)=$600 total by the family
have a nice day :)
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
Answer:
The answer would be the last one
_________________________________
Solution
(5r+2)(3r-4)
=5r(3r-4)+2(3r-4)
=15r^2-20r+6r-8
=15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8.
Hope it helps
Good luck on your assignment
______________________________
The table below represents a proportional relationship. The unit rate of the relationship is
Answer:
the unit rate is 3
using special right triangles, solve for x.
Answer:
6*sqrt(3)
Step-by-step explanation:
x, 2x, x*sqrt(3)
12is 2x
the x side is x*sqrt(3)
(12/2)*sqrt(3)=x side
x side = 6*sqrt(3)
Can someone please help me answer this question?
Answer:
132.5 inches
Step-by-step explanation:
The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10
then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!
Answer:
Step-by-step explanation:
Triangle area
A=h_b*b/2
=8.5*10/2
=42.5in^2
Rectangle area
A=lw
=9*10
=90
Add all together
42.5+90
=132.5in^2
Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?
Answer:
a−b=aa=1
Step-by-step explanation:
Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.
Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1
Answer:
up 1
Step-by-step explanation:
The plus one is on the outside so it is up the number which is one
Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.
Answer:
So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
Step-by-step explanation:
If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
plz do them both since ur here now
Answer:
19 is d 26 is c 27 is b
Step-by-step explanation:
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of segment AC, then AB = BC.
AB = BC
3x - 8 = x + 12
2x - 8 = 12
2x = 20
x = 10
As per the given information, the value of x is 10. For understanding, check the calculations provided below.
MidpointA midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
Learn more information about 'Midpoint' here:
brainly.com/question/4747771
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
Answer:
∠F=56.5⁰
Step-by-step explanation:
It forms a right angled triangle.
The base of the triangle is given as 7.7 feet
The perpendicular of the triangle is given as 5.1 feet.
Find ∠E where
tan∠E=perpendicular/base
tan∠E=7.7/5.1
∠E=33.518
Find ∠F by substracting ∠G and ∠E from 180,
∠F=180-90-33.518
∠F=56.482
Round off to nearest tenth
∠F=56.5
1. Trevor's fitness trainer recommends that Trevor drink 8 fluid ounces
of water 8 times a day. Trevor has a water bottle that holds 1 1/4 pints
of water when filled. Today, he has filled the water bottle three times
and drank all of the water each time. Trevor claims that he drank the
total amount of water recommended by his fitness trainer. Explain
why Trevor's claim is not true. (Remember 8 ounces = 1 cup; 2 cups
1 pint)
=
Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints
Step-by-step explanation:
8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints
Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.
Please help me solve this puzzle.
Step-by-step explanation:
marmiad=10
trident=6
pearls =4
10+6×4
=16×4
=64
hey!!
Answer:34
Step by step explanation:
4+4+4=12
4+4+10=18
6+10+10=26
10+6*4=34
hope it helps..
If the bill is $47.96 and you leave a 15% tip, what is the tip amount?
Answer:
7.19 is the tip
Step-by-step explanation:
Take the amount of the bill and multiply by the tip percentage
47.96 * 15%
Change to decimal form
47.96 * .15
7.194
Round to 2 decimal places
7.19
Answer: $7.19
Step-by-step explanation:
15/100 = 0.15
We only want the tip, not the total cost:
Do 0.15 * $47.96 to get about $7.19
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer: i hope this is correct take care
Step-by-step explanation:
QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40
Answer:
3x^2- 30x+35=f(x)
Step-by-step explanation:
3(x^2+25-10x)-40
3x^2+75-30x-40
3x^2- 30x+35=f(x)
-3x-10=32 Icouldn't find the answer.
Answer:
x = -14
Step-by-step explanation:
-3x - 10 = 32
Add 10 on both sides
-3x = 42
divide both sides by -3 to isolate x
x = 42/-3
x = -14
Answer: -14
Step-by-step explanation:
-3x - 10 = 32
-3x = 32 + 10
x = -42/3 = -14
what is the measure of DAB
It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....
That means 65+61 = 126...
Angle DAB =126
suppose that g(x) = f (x - 2). which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left.
The graph of G (x) is the graph of f(x) shifted 2 units to the left.
Graph:For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)
It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.
In the case when a>0 so the shift is 'a' units to the left
and if a<0 so the shift is 'a' units to the right.
Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.
It is an incomplete question. Kindly find the options below.
A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left
Learn more about graph here: https://brainly.com/question/19661552
Choose the product. -6 p3 (3 p2 + 5 p - 1)
Answer:
-18p^5 - 30p^4 + 6p^3
What is the value of the rational expression below when xis equal to 3?
17 + x/x+2
A. 4
B. 3.4
C. 10
O D. 8.5
Answer: A
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(9,1) and (9,5)
The answer is 4/0 or indefinite.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Name the types of angles shown.
Check all that apply.
Answer:
Here you go!
Step-by-step explanation:
There is a 90 degree angle,
An obtuse angle
And an acute angle
Right angle (EFH)
Acute angle(GFH)
