Hi there!
[tex]\large\boxed{(2, 8)}[/tex]
Solve by setting the two equations equal to each other:
-2x² + 4x + 8 = -4x + 16
Move all terms to one side:
-2x² + 4x + 4x + 8 - 16 = 0
Simplify:
-2x² + 8x - 8 = 0
Factor out a negative 2 from each term:
-2(x² - 4x + 4) = 0
Factor:
-2(x - 2)² = 0
Set the factor equal to 0 to solve:
(x - 2)² = 0
x - 2 = 0
x = 2
Substitute this value of x into an equation to find the shared y value:
y = -4(2) + 16 = 8
maths question please help !! thank u :)
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) (Multiply both sides by 3)
3D= 2E +2F -----(3) (Expand)
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
Function g can be thought of as a scaled version of f(x)=|x|
Answer:
g(x) = 1/2 |x|
Step-by-step explanation:
Scaling f(x) means it's of the form g(x) = a|x|
From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:
1 = a|2|
a = 1/2
Therefore, g(x) = 1/2 |x|
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
Learn more about "shapes" here-
brainly.com/question/25965491
#SPJ2
Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)
Answer:
The answer is (A)
Step-by-step explanation:
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
can someone help me pls
it's easy look at the example for reference
Write two different mixed numbers where the LCD (lowest common denominator) is 15.
Answer:
1. 2 7/15
2. 4 2/15
Step-by-step explanation:
I just made up mixed numbers that have a denominator of 15. I hope this helps you!
james cuts his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Answer:
100,000 m²
Step-by-step explanation:
the area = l x w = 1000 x 100 = 100,000 m²
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Exponential
The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.
His bank balance would follow the compound interest equation which is exponential.
= 400 × 1.08^t
where t is the number of years since the deposit
What is the perimeter of the following figure
Answer:
13
Step-by-step explanation:
7 cm +1 cm +2cm +2cm :12cm
pls answer quickly before 3:30
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
HElp ASAP
A cement truck mixes 1 part cement
with 4 parts sand. If 2.5 cubic yards of
cement are used, how much sand is
needed for the mixture?
a. 6.25 cubic yards
b. 7.5 cubic yards
c. 10 cubic yards
d. 12.5 cubic yards
Answer: The answer is already there
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
x=80
Step-by-step explanation:
The base angles have to be the same since the sides are both 14
The sum of the angles of triangle is 180
50+50+x = 180
100+x= 180
x = 180-100
x= 80
Find the length of BW
Answer:
[tex]BW \approx 132.589[/tex]
Step-by-step explanation:
The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:
[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.
In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
Inverse operations,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
[tex]adjacent=\frac{21}{(tan(9))}[/tex]
[tex]adjacent\approx132.688782[/tex]
[tex]BW \approx 132.589[/tex]
If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}
Answer:
D. {1}
Step-by-step explanation:
F(x)=3x−1
Let F(x) =2
2 = 3x-1
Add 1 to each side
2+1 = 3x-1+1
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.
Answer:
Step-by-step explanation:
Equation of a parabola with vertex (h, k) is given by,
y - k = a(x - h)²
Equation of a function 'f' with vertex (0, 3) will be,
y - 3 = a(x - 0)²
y - 3 = ax²
Since, graph of this function passes through (1, 4),
4 - 3 = a(1)²
a = 1
Therefore, equation will be,
y - 3 = (x - 0)²
f(x) = x² + 3
Equation of function 'g' with vertex at (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph passes through (1, -1),
-1 = a(1)² - 3
a = 2
Therefore, equation will be,
y = 2x²- 3
g(x) = 2x² - 3
Equation of the function 'j' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax²- 3
Since, the graph of the function passes through (1, -5),
-5 = a(1)² - 3
a = -2
Therefore, function 'j' will be,
j(x) = -2x² - 3
Equation of the function 'h' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph of the function passes through (2, 1)
1 + 3 = a(2)²
4 = 4a
a = 1
Therefore, equation of the function 'h' will be,
h(x) = x² - 3
Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression
Answer:
divide, 2x+9
Step-by-step explanation:
got it right
I need help plz with this
Answer:
a) 390
b)108
I hope this answer was helpfull for you
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) [tex]2x-11=x+7[/tex]
2) [tex]x-11=7[/tex]
3)[tex]x=18[/tex]
Find the value of x. Round to the nearest tenth.
Answer:
x=5.9
Step-by-step explanation:
tan(26)=x/12. x=12*tan(26)=5.9
Solve for U 11+15u=-7+13u
Help fast please
Answer:
-9
Step-by-step explanation:
11+15u=-7+13u
or, 15u-13u = -7-11
or, 2u = -18
or, u = -9
Answered by GAUTHMATH
CAN SOMEONE PLEASE HELP ME OUT
Answer:
Similarly: yes
Similarly Statement: LMNO ≈ ZWXY
Scale factor: 2/7
Answered by GAUTHMATH
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
What is the y-intercept of f(x) = see
Picture
Answer:
(0,1)
Step-by-step explanation:
f(x) = (1/2)^x
To find the y intercept, let x = 0
f(x) = (1/2) ^0
f(x) = 1
(0,1)
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
NEED HELP ASAP!!!!!!
Performance Task Vector Operations
e) Draw u + 3v – 1/2w
Answer:
(2, -6)
Step-by-step explanation:
u = (5, 0)
v = (-2, -1)
w = (-6, 6)
(5, 0) + 3(-2, -1) - 1/2(-6, 6)
= (5, 0) + (-6, -3) + (3, -3)
= (2, -6)
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
Parker is planning to build a playhouse for his sister.The scale model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height
Answer:
[tex]10 \times 3.5 = 22x[/tex]
Step-by-step explanation:
It is given that:
Parker wishes to construct a [tex]\text{playhouse}[/tex] for his sister. The width and the height of the house is not scaled to the yard space.
So the width of the play house = 22 centimeters
The height of the play house = 10 centimeters
Bu the space in the [tex]\text{yard is large}[/tex] enough that a play house can be constructed so that it have a width of [tex]3.5[/tex] meters.
So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : [tex]10 \times 3.5 = 22x[/tex]
Answer:
The answer is C, (10) (3.5) = 22 x
Hope this helped!
P. S. : Can I get brainliest please?
