The base and height of an isosceles triangle can be found by using the Pythagorean theorem.The hypotenuse is also the base of the triangle.
First, you need to determine the length of the two sides that are equal, which are referred to as the "legs" of the triangle. Then, use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the triangle.
Once you have determined the length of the hypotenuse, the height of the triangle can be found using the formula, h = √(b^2 - (l/2)^2). In this formula, b is the length of the hypotenuse, and l is the length of the legs.
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Solve using elimination.
2x - y = 0
3x - 2y = -3
Question 1 options:
(5, 10)
(-3,6)
(3,6)
(5,9)
Answer:
x=3,y=6
Step-by-step explanation:
2x−y=0
3x−2y=−3
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
2x−y=0,3x−2y=−3
To make 2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by 2.
3×2x+3(−1)y=0,2×3x+2(−2)y=2(−3)
Simplify.
6x−3y=0,6x−4y=−6
Subtract 6x−4y=−6 from 6x−3y=0 by subtracting like terms on each side of the equal sign.
6x−6x−3y+4y=6
Add 6x to −6x. Terms 6x and −6x cancel out, leaving an equation with only one variable that can be solved.
−3y+4y=6
Add −3y to 4y.
y=6
Substitute 6 for y in 3x−2y=−3. Because the resulting equation contains only one variable, you can solve for x directly.
3x−2×6=−3
Multiply −2 times 6.
3x−12=−3
Add 12 to both sides of the equation.
3x=9
Divide both sides by 3.
x=3
The system is now solved.
x=3,y=6
Find the constant a, P and Q such
that 3x²-12x+16=a(x+p) +q
Answer:
Step-by-step explanation:
Rewrite 3x²-12x+16 as follows:
3(x^2 - 4x) + 16
Complete the square of x^2 - 4x; it is (x - 2)^2 - 4. We then have:
3( (x - 2)^2 - 4) + 16, or:
3(x - 2)^2 - 12 + 16, or
3(x - 2)^2 + 4
Then a = 3, p = -2 and q = 4
********************************************************************
Completing the square of x^2 - 4x is done as follows:
1. Identify the coefficient of x: It is -4.
2. Take half of this result: It is -2
3. Square this, and then add the square to x^2 - 4x, and then subtract it:
x^2 - 4x = x^2 - 4x + 4 - 4
4. Rewrite this result in the form (x - a)^2 - c:
(x - 2)^2 - 4
5. Now follow the remainder of the problem solution (given above)
Help is for today!!!
Ayuda es para hoy.!!
Answer:
x=20 degrees
Step-by-step explanation:
So, lets recall some things.
First off, opposite angles are the same.
So this would make x equal 20.
But lets test this.
When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.
This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point
So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.
I attached a image below.
I hope this explains this to you and helps! :D
==================================================================
Respuesta:
x = 20 grados
Explicación paso a paso:
Entonces, recordemos algunas cosas.
En primer lugar, los ángulos opuestos son iguales.
Entonces esto haría que x sea igual a 20.
Pero probemos esto.
Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.
Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto
Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.
Adjunto una imagen a continuación.
¡Espero que esto te explique esto y te ayude! :D
Darwin is out shopping in find $50.00 scooter that was marked down by 50% how much was the item originally?
Answer:
100
Step-by-step explanation:
Because if 50 percent of x is 50 than x = 100
What is the volume of this figure? Round your answer to the nearest tenth
Answer:
6430.72 centimeter cubic
Even more geometry stuff pls help
Answer:
[tex]z=\frac{25}{3}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{5^2-3^2}=4[/tex].
Using the geometric mean theorem,
[tex]4^2=3(z-3) \\ \\ 16=3z-9 \\ \\ 25=3z \\ \\ z=\frac{25}{3}[/tex]
Answer and you get 100 points.
Answer:
my best guess would be C, sectionalism
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
A) -2 - i√3 , -2 + i√3
Step-by-step explanation:
Solve using quadratic formula
x² + 4x + 7 = 0
The Almighty Formula
= -b ± √b² - 4ac/2a
Where ax + bx² + c = 0
From the above question
a = 1, b = 4, c= 7
Hence,
-4 ± √4² - 4 × 1 × 7/2 × 1
-4 ± √16 - 28/2
=( -4 ± √-12)/2
Since
b² - 4ac < 0
We have two complex roots
Simplifying
( -4 ± √-12)/2
= -4/2 ± √-12/2
= -2 ± 2√3i/2
= -2 ± √3i
Therefore,
-2 - √3i , -2 + √3i
or
-2 - i√3 , -2 + i√3
Option A , is the correct answer
Tom is adding soil to his raised garden bed. The depth of the soil is currently 8 inches, and for each bag of soil he adds, the depth will increase by 1/2 of an inch. You can use a function to describe the depth of the soil in the garden bed after Tom adds x bags of soil.
Write an equation for the function. If it is linear, write it in the form h(x)=mx+b. If it is exponential, write it in the form h(x)=a(b)^x.
The function that describes the depth of the soil is h(x) = -(1/2)x + 8.
Where x is the number of bags of soil.
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,
Depth of the soil = 8 inches
One bag of soil increases by 1/2 of an inch.
Now,
The function denotes the depth of the soil.
h(x) = -(1/2)x + 8
Where x is the number of bags of soil
Thus,
The function is h(x) = -(1/2)x + 8.
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Find $(-1)^{-10} (-1)^{-9} (-1)^{-8} \cdots (-1)^9 (-1)^{10}$. (The dots $\cdots$ mean that there are 21 numbers being added, one for each integer from $-10$ to 10.)
The sum of the sequence [tex](-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}[/tex] is 1
Consider given sequence [tex](-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}[/tex]
here, the dots . . . means that there are 21 numbers being added, one for each integer from −10 to 10.
We need to find the sum.
We can observe that the above sequence is a geometric sequence with the common ratio r = -1 and the first term a1 = [tex](-1)^{-10}[/tex] i.e., a1 = 1
We know that the formula of the sum of n-terms of a geometric sequence is:
[tex]S_n= a_1 \times (\frac{1-r^n}{1 -r} )[/tex]
For n = 21, r = -1 and a1 = 1
[tex]S_{21}=1 \times (\frac{1-(-1)^{21}}{1-(-1)} )\\\\S_{21 }= 1\times (\frac{1-(-1)}{1 +1} )\\\\S_{21 }=\frac{1+1}{2} \\\\S_{21 }= \frac{2}{2} \\\\S_{21 }= 1[/tex]
Therefore, [tex](-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}[/tex] = 1
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Please tell me someone know I have to go back to school tomorrow
An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.
What is a reflection?In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.
In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By reflecting the given function across the across the y-axis (y = x), we have the following:
f(x) = x/3 - 6
g(x) = f(-x)
g(x) = -x/3 - 6.
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According to the table, what is Omar’s bank balance? $761.25 $810.30 $814.75 $1,186.25
PLease hurry its timeeddd
Answer:
$761.25, A on edg
Step-by-step explanation:
The bank balance of omar from the given account is; $761.25
How to balance an account?To get his account balance after the credit and debit, we need to add all the amount debited and deduct from all the amount credited.
Total amount debited = 425 + 22.3 + 26.75
Total amount debited = $474.05
The total amount credited + balance = $1015.50 + $219.8 = $1235.3
Thus;
Omar's bank balance = $1235.3 - $474.05
Omar's bank balance = $761.25
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is y2=x-1 a function i will give brainliest
BC is tanget to the circle centered at A with a radius of 2. What is the length of CD?
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
The awnser is d.
Step-by-step explanation:
I dont know how I got it I just guessed and got it right. Dont do that sketch download.
Given that sin θ = 0.5, where π/2 < θ < π , find cos θ .
Answer:
cos theta is -0.866
Step-by-step explanation:
We have the range as between 90 and 180 degrees (pi is the same as 180 degrees)
The quadrant we are considering here is the 2nd quadrant
Mathematically;
if sin theta = 0.5
theta = arc•sin 0.5
theta = 30 degrees
The angle on the second quadrant is of the likes;
180-theta
so we have 180-30
and that is 150 degrees
cos (150) is thus; -0.866
In the figure, mzEDF = 42°. Which other angle must have the same measure?
OA. ZGDF
B. ZEGF
OC. ZDEG
D.
LEGD
D
42°
C
E
IL
In the quadrilateral, ∠GEF will be same as angle ∠EDF=42°°
A quadrilateral shape is what?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example.
A parallelogram is a trapezoid, right?A parallelogram has two pairs of parallel sides, whereas a trapezoid only has one pair. Consequently, a parallelogram is a trapezoid.
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Answer:
EGF
Step-by-step explanation:
Got it right on plato.
Find the volume of the right prism with a cylindrical hole. Round to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
First, you get the volume of the right prism by multiplying the length times the width times the height, which is 2.5 cubed. Then we subtract the volume of the cylindrical hole. We do this by doing pi times the radius squared times the height, which is pi times 0.75 squared times the height. This will yield 11.2 cubic millimeters.
Gwen scans a photo that is 4inches wide by 6 inches long into her computer. If she scales the length down to 3inches how wide should the similar photo be?
The similar photo should be 4.5 inches wide.
What is scale factor?Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -
y = Kx
K = y/x
where -
{K} is scale factor. It also tells by how many times is {y} greater than {x}.
Given is that Gwen scans a photo that is 4 inches wide by 6 inches long into her computer. Now, she scales the length down to 3 inches.
We can write -
y₁/x₁ = y₂/x₂
6/4 = 3/x₂
x₂ = 6 x 3/4
x₂ = 6 x 0.75
x₂ = 4.5
Therefore, the similar photo should be 4.5 inches wide.
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How do you find the value of x in a two step equation?
Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.
Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.
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Which side is adjacent to
Answer:
from B-A is adjacent
because of the 90 degree
How do you find the dilation of a function?
Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. The scale factor is equal to the ratio of these distances.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
A graph's form is altered by dilations, frequently leading to "movement" in the process. In the figure above, the green curve has been "transformed" into the red curve. It has been three times "dilated" (or stretched) horizontally. A dilatation is an axial stretching or contraction brought on by multiplication or division.
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what is 30x30x30x30 plz i need help
Answer:
810000
Step-by-step explanation:
May someone please help me.
Answer: x=9
Step-by-step explanation:
Here the given angles are,
50,80,6x-4
The sum of the angles of a triangle is 180 degrees and hence
50+80+6x-4=180
130+6x-4=180
126+6x=180
6x=180-126
6x=54
x=54/6
x=9
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A farmer sells 6.8 kilograms of pears and apples at the farmer's market.
3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Write answer as a fraction and decimal!
PLZ HELP!!!
if im not mistaken it is 6.05 because if 3/4 (0.75) is the weight of pears, you subtract that by the total weight and the remanding is your weightof apples
PLEASE HELP!!!!!
What is the distance between the points X(-4,3) and Y(2, -7) rounded to the nearest tenth? show your work.
O 11.7 units
O 8.0 units
O 16.0 units
O 4.5 units
Answer:
11.7 units
Step-by-step explanation:
sq root(2--4)^2+(-7-3)^2
sq root(6)^2 + (-10)^2
sq root (36)+(100)
sq root 136
equals 11.66 which rounds up to 11.7
the cylinder below has a volume of 80 cm³. what is the value for r?
Answer:
r= 7.09 cm (3s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cyinder = \pi {r}^{2}h }[/tex]
Given: h= 5cm, volume= 80cm³
πr²(5)= 80
Divide both sides by 5π:
[tex] {r}^{2} = \frac{80}{5\pi} [/tex]
Simplify:
[tex] {r}^{2} = 16\pi[/tex]
Square root both sides:
[tex]r = \sqrt{16\pi} [/tex]
r= 7.09 cm (3s.f.)
plzz help asap, I'll mark you the brainliest if you tell me how to solve this with step by step explanation ❤❤
if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?
A) 0
B) 1
C) 2
D) 3
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] + [tex]\frac{1}{z}[/tex] = 0 , then
[tex]\frac{yz+zx+xy}{xyz}[/tex] = 0 , so
yz + zx + xy = 0
Now
(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) , that is
1² = x² + y² + z² + 2(0) , thus
x² + y² + z² = 1
whats 1.5 divided by 1.5
Answer:
1
hope this helped
Step-by-step explanation:
Answer:
so 1.5 ÷1.5= 1
Step-by-step explanation:
Points E and Flie on a circle, centre O.
The radius of the circle is 10 cm.
The area of the shaded sector is 65cm².
Diagram not drawn to scale
Calculate the size of angle EOF
(3 marks)
The measure of the angle of the shaded sector with an area of 65 cm² is 74.5°
What is an equation?An equation is used to show the relationship between numbers and variables.
The area of a two dimensional shape is the amount of space it occupies.
The area of a sector in a circle is given by:
Area = (Ф/360) * π * radius²
Where Ф is the sector angle
Given that sector area is 65 cm², radius is 10 cm, hence:
Area = (Ф/360) * π * radius²
Substituting gives:
65 = (Ф/360) * π * 10²
Ф = 74.5°
The measure of the angle is 74.5°
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Triangle congruence
Which statements are true? Select all that apply.