Answer:
just took the test
1st root= x1 =(17+√65)/16
2nd root =x2 =(17-√65)/16
What is Quadratic Equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown and a, b , and c represent known numbers , where a should not be equal to 0.
D = b^2 - 4 * a *c
D = (-17)^2 - (4)(8)(7)
D= 65 >0
There will be two solutions exist in this condition
1st root : (-b+√D)/2a
=(-(-17)+√65)/2*8)
1st root= x1 = (17+√65)/16
2nd root : (-b-√D)/2a
= (-(-17)-√65)/2*8)
2nd root = x2 = (17-√65)/16
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There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.
Answer:
Number of milk chocolate in beg = 56
Step-by-step explanation:
Given:
Probability of randomly choosing a dark chocolate = 3/8
Number of dark chocolate = 21
Find:
Number of milk chocolate in beg
Computation:
Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate
Number of milk chocolate in beg = 21 / [3/8]
Number of milk chocolate in beg = 21[8/3]
Number of milk chocolate in beg = 7[8]
Number of milk chocolate in beg = 56
Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000
Given:
Distance between two villages = 14 km
Map scale = 1:25000
To find:
The distance between the two villages on the map.
Solution:
Let the distance between the two villages on the map be x.
Map scale is 1:25000. So,
[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]
[tex]x=\dfrac{1}{25000}\times 14[/tex]
[tex]x=0.00056[/tex]
Therefore, the two villages are 0.00056 km apart on map.
What is the distance between (4,6) and (9,15)?
Answer:
10.2956
Step-by-step explanation:
The distance between (4,6) and (9,15) is √87.
What is distance formula?The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is
PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.
Given coordinates: (4,6) and (9,15)
Using distance formula:
=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²
= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²
=√[tex](4[/tex]) ² + (9)²
= √16 + 81
=√87.
Hence, the distance between (4,6) and (9,15) is √87 units.
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Please help me. Study island is hard
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
Pls urgent Will mark brainiest
Whats 2+2
Answer:
4 haha lol lol
Step-by-step explanation:
2+2 is 4 lol
math subject
true or false about geometry and measurement Garde 6
true or false
two rays with the same end point from an angel
I will give u branilist
Answer:
True
Step-by-step explanation:
An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.
Answer:
false
Step-by-step explanation:
two rays with don't have the same end point from an angle
x2 + y2 = 9
x + y = 2
Answer:
I think its 4,5. Not entirely sure but it makes sense
HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT
Answer:
-9
Step-by-step explanation:
[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Answer:
1140 square inches
Step-by-step explanation:
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Area of a Trapezoid
= 1/2(b1 + b2)h
b1 =
b2 =
h =
Hence, 1/2 (50 + 45) × 24
= 1/2 × 95 × 24
= 1140 Square inches
The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's
Answer:
end behavior
Step-by-step explanation:
A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192π m 3 . Round your answers to two decimal places.
Answer:
that is the procedure above
PLEASE HELP ME WITH 27,28 and 29
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
can someone help me with this math problem
Answer:
150 degrees
Step-by-step explanation:
8x-10=3x+90
solve for x in calculater
x = 20
Substitute:
3(20)+90 = 150
Answer:
Step-by-step explanation:
8x - 10 = 3x + 90
5x - 10 = 90
5x = 100
x = 20
8(20) - 10 = 160 - 10 = 150
What is the product?
Answer:
-10d⁴ + 17d²s - 6s²
Step-by-step explanation:
Multiply using FOIL
First
-2d² * 5d² = -10d⁴
Outer
-2d² * -6s = 12d²s
Inner
s * 5d² = 5d²s
Last
s * -6s = -6s²
-------------------------
Together
-10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms
-10d⁴ + 17d²s - 6s²
A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture
9514 1404 393
Answer:
5.92 inches on a side
Step-by-step explanation:
The new dimension is the original dimension multiplied by the scale factor.
(8 in)(74%) = 5.92 in
Write an equation of the line that goes through the points (-2,-2) and (-4,-4).
PLEASE ANSWER
y=x
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
Y=x
Step-by-step explanation:
it's a straight line passing by the center (0,0) at 45°
You can tell because Y is equal to X for every value of X and the points you posted fall in this case.
Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree
Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is [tex]19^{\circ}[/tex]
From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]
Suppose the height of tree is h
From figure, we can write
[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]
Similarly
[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]
Deduce the value of h
[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]
Thus, the height of the tree is 13.8 m
From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)
Answer:
Domain(-4,4) and Range:(-3,0)
Step-by-step explanation:
Because the graph goes through - 4 and 4
Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function
Answer:
No solution is possible
Step-by-step explanation:
You failed to provide the function.
This question cannot be answered,
No, 24 is not a possible output value.
The domains are -2, 0, 3, and 11.
The range is -1, 4, 14, and 38.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function is given in the figure.
The outputs are -1, 5, 14, and 38.
The domain of the function is -2, 0, 3, and 11.
The range of the function is -1, 5, 14, and 38.
Thus,
24 is not a possible output value.
Domains are -2, 0, 3, and 11.
Range are -1, 4, 14, and 38.
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How do you do this ?
Answer:
the answer is- g= 72/d minus f/d
Answer: The domain for f(x) is all real numbers GREATER than equal to 3
Answer:A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
The graph represents this relation (blank) the function that coincides with this relation is... select the correct answer from each drop down menu
Answer:
x = 5*|y|
Step-by-step explanation:
We know that the function is something of the form:
x = |a*y|
We know this because the vertex of the function is in the point where the value of the absolute part is zero, this is when y = 0
and:
x = |a*0| = 0
(0, 0)
Now let's look another point where the graph passes through to find the value of a.
We can see that the graph also passes through the point (5, 1) and (5, -1)
Then, when y = 1, we must have x = 5
Replacing these in our equation we get:
x = |a*y|
5 = |a*1|
5 = |a|
then we can have
Then we can rewrite:
x = |a*y| = |a|*|y| = 5*|y|
x = 5*|y|
The correct option is the last option.
Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?
The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.
Answer:
the third option
Step-by-step explanation:
what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in
Answer:
311.01 in^3
Step-by-step explanation:
Volume of cylinder = pi*r^2*h
Volume of cylinder = pi*9*11=311.01 in^3
m (slope) =
b ( y - intercept) =
x - intercept =
Answer:
Step-by-step explanation:
m = - 2
b = 4
x - intercept = 2
PLEASE HELP ANGLE OF TRIANGLE
Answer:
my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:
add the two known angles.
41+107 = 148
that means the exterior angle is equal to 148
x=148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,
In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.
41+107+n=180
148+n=180
n=32
So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles
180-32 = 148°
And that is you’re answer!
Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b