Step-by-step explanation:
First, given that we must use point slope form, we can define that as
y - y₁ = m (x-x₁), with m being the slope .
To find the slope, we can use the equation
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get
[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]
as our slope. Therefore, our equation is
y - y₁ = 2 (x-x₁).
For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get
y - 1 = 2(x-0) as one equation
Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get
y - 3 = 2 (x-1) as our other equation
1
If f(x) = 3x + 2 and g(x)=x+1, which expression is equivalent to (fog)(x)?
Answer:
(3x+2)^2+1
Step-by-step explanation:
(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1
Answer:
3(x+1) + 2
Step-by-step explanation:
Solve for x and show work
Answer:
Hi,
These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?
Step-by-step explanation:
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?
I know the answer, but I just wanna know if the answer I got was right or wrong, if I'm wrong help down please
Answer:
[tex]\frac{8}{10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} +\frac{3}{10}[/tex]
[tex]\frac{5}{10} +\frac{3}{10} =\frac{8}{10}[/tex]
Hope this is helpful
make q subject in formula
t=q/2 + 5
Answer:
[tex] q = 2(t - 5) [/tex]
Step-by-step explanation:
[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]
hope this helps you.
Have a nice day!
Answer:
2 ( t - 5 ) = q
Step-by-step explanation:
t = q/2 + 5subtract 5 from both side
t - 5 = q / 2 + 5 - 5t - 5 = q / 2multiply each side by 2.
2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = qSelect the correct answer.
What is the value of g(2)
10.
13 – 9x2 + 27r - 25,1 > 2
gix)
A. 2
D
B.
OC.
-1
D. 1
How do you do this
Answer:
D=1
Step-by-step explanation:
g(x)=x³-9x²+27x-25
g(2)=(2)³-9(2)²+27(2)-25
=8-36+54-25
=1
Una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000. La empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días. Si la tasa de interés es del 24% anual, ¿cuál oferta le conviene aceptar
Answer:
La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
Step-by-step explanation:
Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:
90 días = 1/4 año
30 días = 1/12 año
84 días = 23/100 año
365 = 1
85 = X
84 / 365 = 0.23
A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300
B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300
C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172
Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
find the measure of the exter angle.
Here are 2 right triangles.
9
S
у
a. Explain how you know the right triangles are similar.
Type your response in the space below.
В І о
B
Answer:
Step-by-step explanation:
They are similar because they have two respective congruent angles
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Answer:
Subtraction property of equality
Step-by-step explanation:
In the equation, 5 is subtracted from both the sides
Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.
Answer:
[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]
[tex](b)\ Area = 16.75cm^2[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](a,b) = (-6,5)[/tex]
[tex]r = 5[/tex]
Required
The equation of the circle
This is calculated as:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
So, we have:
[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]
[tex](x+6)^2 + (y-5)^2 = 25[/tex]
Solving (b):
Given
[tex]r = 8cm[/tex]
[tex]\theta = 30^o[/tex] --- Missing from the question
Required
The area of the sector
This is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]
[tex]Area = \frac{1}{12} * 200.96[/tex]
[tex]Area = 16.75cm^2[/tex]
What is the value of f(5) in the function below?
f(x) = 1/4 •2x
A. 32
B. 16
C. 8
D.5/2
What is the smallest 6 digit palindrome that can be divided by 99?
can someone pls help for brainlest
what is 2(j-4)>=-6? solve the inequality for j
Answer:
J >= 1 or j is greater than or equal to 1
Step-by-step explanation:
Write equation:
2(j-4)>= -6
1. Distribute:
2j - 8 >= -6
2. Add 8 on both sides:
2j -8 +8 >= -6 + 8
2j >= 2
3. Divide 2 on both sides:
2j/2 >= 2/2
j >= 1
There ya go! Hope this helps, have a good night or day! ;)
What is the value of X?
What is the relationship between the marked angles?:
Linear pair
Exterior angle of a triangle
Corresponding angles
Vertical angles
Alternate interior angles
Answer:
Vertical Angles
x = 21
Step-by-step explanation:
Vertical Angles
4x + 3 = 87
4x = 84
x = 21
I was thinking the answer was three but I’m not entirely sure help pls?
Answer:
3
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?
Answer:
26
Step-by-step explanation:
Problem: f(x) = 28 + x + 7
Plug in f(-9)
New equation: f(-9) = 28 + (-9) + 7
Simplify: f(-9) = 26
Answer: f(-9) = 26
The triangle inequality
Write the following equation in slope y-intercept form and identity m and b.
x + 2y – 4 = 0
Answer:
Below:
Step-by-step explanation:
y = -0.5x + 2
m = -0.5
b = 2
3, 6, 12,
The common ratio is
Answer:
The common ratio is 2.
Step-by-step explanation:
3 : 6 : 12
1 : 2 : 4
Which expression is equivalent to the given expression?
3r2 + 53 - 7(x2 + 4)
A.
x2 + 4
B. -412 + 51 - 4
OC.-4.2 + 51 – 28
D.
12 + 28
Answer:
C. - 4x^2 + 5x - 4
Step-by-step explanation:
just expand the equation and you'll get C
Answer:
O C. [tex]-4x^2+5x-28[/tex]
Step-by-step explanation:
[tex]3x^2+5x[/tex] -7(x^2+4) Distribute
[tex]3x^{2} +5x[/tex] -7x^2-28 Multiply - 7 by 4
3x^2 [tex]+5x[/tex] -7x^2 [tex]-28[/tex] Combine Like Terms
-4x^2 [tex]+5x-28[/tex] Final Answer
PLEASE HELPP MEEE ASAPPPPP
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
Substitute 8 for x and evelute the expression below (x-+6)-2 ?
Please Help ASAP!! Due today!!
Answer:
-4 equals p=2 and a and R are at point Y downwards.
Please please help me
I really need help
The questions are
1)Calculate the perimeter of this figure.
2)Calculate the area of the shaded region.
Answer:
(1) 102.55 in
(2) 316.69 in²
Step-by-step explanation:
Applying (1)
a² = b²+c².............. Equation 1
Given: a = 25 in, b = 20 in,
25² = 20²+b²
b² = 25²-20²
b² = 225
b = √225
b = 15 in
b = diameter of the semicircle
The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in
Therefore,
P = 37+25+17+23.55 = 102.55 in
(2) Applying,
A = Area of the tripezium- area of the semi circle
A = [h(a+b)/2]-πh²/8.............. Equation 2
Given; h = 15 in, a = 17 in, b = 37 in
A = (15(17+37)/2)-(3.14×15²/8)
A = 405-88.31
A = 316.69 in²
Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?
Answer:
El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
Step-by-step explanation:
Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:
Santiago = 1/2
Alba = 1/3
2 x 3 = 6
Santiago = 1/2 = 3/6
Alba = 1/3 = 2/6
Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
I need help please! 45 points :)
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 1 unit.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The area of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]
[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]
Therefore, the area of the circle is 3.14 units².
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Select the correct answer.
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 and shape 2 are not congruent.
B.
A translation will prove that shape 2 is congruent to shape 1.
C.
A rotation and a translation will prove that shape 2 is congruent to shape 1.
D.
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.