Answer:
-4
Step-by-step explanation:
if you graph it, we can find out two points are 0,17 and 1,13
we can find the slope from rise/run
-4 is the slope of the line represented by the equation y + 3 = -4(x-5)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation of the line is y + 3 = -4(x-5)
We have to find slope
Let us simplify the equation to slope intercept form to find slope
y+3=-4x+20
y=-4x+17
Hence, -4 is the slope of the line represented by the equation y + 3 = -4(x-5)
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Find the standard equation for the circle having the given center and radius.
center (0,0)
radius 7
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49[/tex]
enter a number in the box so that the equation will have infinitely many solutions.
Answer:
5
Step-by-step explanation:
10c+15=5(2c+3)
use distributive property
10c+15=10c+15
Hope this helps!
If not, I am sorry.
Answer:
You would have to insert 5 for there to be infinite solutions.
Three numbers have the sum of 112. The first number is twice the second and the third number us twice the first. What is the smallest of the 3 numbers?
Answer:
x = 16
Step-by-step explanation:
Let the second number be x.
The first number = 2x
The third number = 2×2x = 4x
2x + x + 4x = 112
7x = 112
x = 112/7
x = 16
10 points!! Help me out please!!
To solve this, we need to use our trigonometric equations
⇒ look at the diagram attached
Let's examine what the problem wants:
the length of the side adjacent to the 58-degree angleLet's examine what the problem gives us:
the length of the side opposite to the 58-degree anglethe angle that has a measure of 58-degreesLet's solve:
[tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]
Answer: 13.8 (rounded to nearest tenth)
Hope that helps!
What a scale drawing a tree is 4 inches tall the scale factor is 1:24. Find the actual height
Answer:
96 inches
Step-by-step explanation:
1:24
4:x
cross multiply:
x=4*24
x=96
What is limit of startfraction startroot x 1 endroot minus 2 over x minus 3 endfraction as x approaches 3? 0 one-fourth 4 dne
I'm going to assume the limit is
[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3}[/tex]
since problems like this usually involve indeterminate forms, and
√(x + 1) - 2 = x - 3 = 0
when x = 3.
To get around the discontinuity in the limand at x = 3, rationalize the numerator:
[tex]\dfrac{\sqrt{x+1} - 2}{x - 3} \times \dfrac{\sqrt{x + 1} + 2}{\sqrt{x + 1} + 2} = \dfrac{\left(\sqrt{x+1}\right)^2 - 2^2}{(x-3) \left(\sqrt{x+1}+2\right)} = \dfrac{x-3}{(x-3)\left(\sqrt{x+1}+2\right)}[/tex]
Now as x approaches 3, the factors of x - 3 cancel, the resulting limand is continuous at x = 3, and we have
[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \boxed{\frac14}[/tex]
Express 34m 8cm 6mm in mm
Answer:
34086 mm
Step-by-step explanation:
34m = 34000 mm
8cm = 80 mm
6mm = 6mm
34000+80+6 = 34086 mm
Answer:
34086 mm
34m = 34000m
8cm = 80mm
The median of the values:29,24,30,23,28,18,
Answer:
26
Step-by-step explanation:
18,23,24,28,29,30
(6 in total + 1)/2=3.5.
- the number which is 3.5 is between 24 and 28.
- middle number between these two is 26.
ASAP!!! What is the volume of this prism?
Answer:
a) 56
Step-by-step explanation:
(2x2x6)+(4x4x2)
24+32
Simplify -b/2a where a =-8 and b =-1
The correct value of this algebraic expression is -1/16
Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.
According to the rules of signals, we will have to:*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +
*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -
[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]
[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{-16}[/tex]
[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]
Therefore, the final answer to this simplification will be -1/16
PLEASE HELP!! i’ll give brainliest and no bots!
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, [?], [?]
i need the answer asap
Answer:
It b(4) because if you time 3 times 4 it equals 15.
Step-by-step explanation:
Identify the national road that follows the coastline on the eastern side of the south Africa?
The name of the national road that follows the eastern coastline of South Africa is the N2.
Which road follows South Africa's eastern coastline?The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.
It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.
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x+6/x+3 X x-6/x-3
A. 2x-12/x-3
B. x-12/x-6
C. x^2-12/x^2-6
D. x^2-36/x^2-9
d
Step-by-step explanation:
What is the domain of the function graphed below?
Answer:
A: X < 7
Step-by-step explanation:
help only answer if you’re sure
Answer: D.
Step-by-step explanation:
5/9 + 2/4
find common denominator
common denominator=36
5 x 4=20 2 x 9=18
9 x 4=36 4 x 9=36
20/36 + 18/36
20 + 18=38
38/36 simplify
1 2/36 (if not in simpliest form)
Find the measure of the three missing angles in the rhombus below.
Explain it.
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
What is a Rhombus?A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
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[tex]3x^2+8x+4=0[/tex]
Solve using the quadratic formula.
Answer:
[tex]x = -\dfrac 23\\\\x = -2[/tex]
Step by step explanation:
[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]
[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]
What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?
30y^10
5y^2
y^2
5y^10
Answer:
5y²
Step-by-step explanation:
Prime factorizing each term :
⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰
⇒ 15y⁶ = 5 x 3 x y⁶
⇒ 5y² = 5 x y²
===============================================================
From this, we understand the GCF of the numbers are :
⇒ 5 × y²
⇒ 5y²
Last month, a basketball team scored 83, 84, 85, 87, 89, 88, 67, 79, and 81 points in their games. Which data value(s) are outliers? Select all that apply.
The data value that is an outlier is 67
How to determine the outlier?The dataset is given as:
83, 84, 85, 87, 89, 88, 67, 79, and 81
To determine the outlier, we select the data values that are relatively far from others
In the above dataset, the data element 67 is far from other data values
Hence, the data value that is an outlier is 67
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wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.
Answer with step by step explanation
To find the equation of the line from the given equation, you have to make y as the subject in the equation.
Let us find now.
x + 3y = -4
3y = -4 - x
3y = -x - 4
Divide the whole equation by 3.
y = -x/3 - 4/3
Therefore, the equation of the line is:
y = -x/3 - 4/3
And now we have to find the slope and the y - intercept of the line.
That is, we have to find the m & c of y = m x + c.
Here,
m ⇒ slope
c ⇒ y - intercept
So, to find it we have to find the values which were replaced with m & c.
Let us find now.
y = m x + c
y = -x/3 - 4/3
Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.
Therefore,
slope ⇒ -1/3
y - intercept ⇒ -4/3
5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b
(a) 6ab^2 + -8a^2b + 3ab
(b) -7ab^2 + 8a^2b + 3ab
(c) 6a^2b^4 - 8a^4b^2 + 3ab
(d) 5a^2b^4 + -8a^4b^2 + 3ab
Answer:
(a) 6ab² - 8a²b + 3ab
Step-by-step explanation:
Given: 5ab² - 12a²b + 3ab + ab² + 4a²b
In this question, we will be combining like terms.
What are like terms?
Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².
Combine like terms:
5ab² - 12a²b + 3ab + ab² + 4a²b
(5ab² + ab²) + (-12a²b + 4a²b) + 3ab
6ab² - 8a²b + 3ab
Find the area of the smallest side of the right
triangle.
A = 169 ft²
A = 144 ft²
The area of the smallest side of the right triangle is 25 ft².
What is a right-angle triangle?A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.
Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.
Given that:-
The hypotenuse = 169 ft ² = 13 ft
The side with area 144 ft² = 12 ft
Using Pythagoras' identity to find the third side x ( smallest )
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = 5
Thus the area of the smallest side will be calculated as:-
A = 5²
A = 25 ft²
Therefore the area of the smallest side of the right triangle is 25 ft².
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Given circle N with chord AB, which point lies on the perpendicular bisector of AB?
The point that lies on the perpendicular bisector of AB is point N
How to determine the point?The circle is given as:
Circle N
The chord is given as:
Chord AB
The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.
This means that the point starts from point N
Hence, the point that lies on the perpendicular bisector of AB is point N
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Name the inverse opet
The inverse operation that you can use to solve this equation is
Answer:
Division
Step-by-step explanation:
You can use division to divide fractions.
Say you have a problem
3/4 divided by 2/5
Turn 2/5 into its reciprocal
That would be 5/2
then multiply 3/4 and 5/2
Which would be 15/8
Which is your answer
(not sure if this is what you are really asking)
help help help me please
Answer:
1 and 3/4
Step-by-step explanation:
KCF, Keep Change Flip
7/6 divided by 2/3 becomes 7/6 multiplied by 3/2, which is 21/12
This can be simplified to 7/4, or 1 and 3/4
what's the area of a trapezium with a height of 6cm and a length of 9cm and 15cm?
Answer:
72cm²
Step-by-step explanation:
Hello!
The formula for area of a trapezoid: [tex]A = \frac12(b_1 + b_2)h[/tex]
We find the average of the bases, and multiply it by the height.
Plug in the values and solve[tex]A = \frac12(b_1 + b_2)h[/tex][tex]A = \frac12(9 + 15)6[/tex][tex]A = \frac1224(6)[/tex][tex]A = 12(6)[/tex][tex]A = 72[/tex]The area of the trapezoid is 72cm²
1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo
La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.
¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
La suma de dos números A y B se escribe como:
A + B.
Sí ambos números son negativos, los podemos escribir como:
A = -a
B = -b
Donde a y b son positivos.
Entonces la suma de esos dos nos dará:
(-a) + (-b) = -(a + b).
Es decir, el resultado de la suma es un número negativo.
Un ejemplo es sí tomamos:
A = -1
B = -4
(-1) + (-4) = -(1 + 4) = -5.
¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?En este caso dependerá de que número tenga mayor valor absoluto.
Por ejemplo, sí usamos:
A = 2
B = -4
2 + (-4) = -2
El resultado es negativo, pues el número negativo tiene mayor valor absoluto.
Por otro lado, sí tenemos:
A = -2
B = 4
(-2) + 4 = 2
El resultado es positivo, pues el número positivo tiene mayor valor absoluto.
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what is the measure of
Answer:
what
Step-by-step explanation: