Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
Solve for x.
4/5(x−3/10)=−2 1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation:
Value of x = [tex]-2\frac{1}{4}[/tex]
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Examples: (y²x² + 2xy – y)/(x – 1) = 12.
Given, equation
[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]
⇒4/5[(10x-3)/10] = -9/4
⇒2/5[(10x-3)/5] = -9/4
⇒(20x-6)/25 = -9/4
⇒80x - 24 = -225
⇒80x = -225 + 24
⇒x = -201/80
⇒x = -2.5125
⇒x = [tex]-2\frac{1}{4}[/tex]
Hence, the value of x in simplest mixed number is [tex]-2\frac{1}{4}[/tex]
Learn more about algebraic equation here:
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What is the slope between the points (-2, 3) and (1, 0)
Help me please I’m bad at slopes
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
take a pic of what and where are the questions???
dividing 0.68÷0.6936
Answer:
0.9804
Step-by-step explanation:
0.68 ÷ 0.6936 = 0.98039215686275
What is the answer to 4y/y?
Answer:
4
Step-by-step explanation:
[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.
12 liters to quarts rounded to nearest hundredth
Answer:
12.6
Step-by-step explanation:
have a wonderful day :)
Can somebody please help me?!! I will give BRAINLIEST!!
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
find the slope and y intercept.
Answer:
slope: 2/3
y intercept: -1
Step-by-step explanation:
slope: rise/run
The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.
Answer:
78.5
Step-by-step explanation:
[tex]r^{2}[/tex]x3.14 (pie)
so then substitute.
5x5=25
25x3.14=78.5
Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!
Answer:
why did you need to play with you are you board of playing then stop playing game
What are the types of polygons?
Answer:
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon
Answer:
1.Regular Polygons.
2.Irregular Polygons.
3.Concave Polygons.
4.Convex Polygons.
5.Trigons.
6.Quadrilateral Polygons.
7.Pentagon Polygons.
8.Hexagon Polygons.
Step-by-step explanation:
PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)
5p + 3 = 15
please make this into a word problem
Answer:
p equals two and four tenths
Step-by-step explanation:
First let's write our equation
five p plus three equals fifteen
Subtract three from both sidesfive p equals twelve
divide both sides by 5
p equals two and four tenths
_______________________________
Word Problem
You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y = \frac{1}{8} x + 2[/tex]
joe mammamamamamamaamamamma
Answer:
this joke is getting old lol
Step-by-step explanation:
Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)
Answer:
Graph Below:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54
Answer:
y = - 4/3x - 9
Step-by-step explanation:
Answer:
[tex]y = -\frac{4}{3}x - 9[/tex]
Step-by-step explanation:
The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.
First, subtract 8x from both sides:
8x + 6y = - 54
8x - 8x + 6y = - 8x - 54
6y = -8x - 54
Divide both sides by 6 to isolate y:
[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]
[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.
please help asap…………
Answer:
not linear
Step-by-step explanation:
a linear function contains x and y only with the exponent 1.
this allows the function to be a line (hence the term "linear"), a constant ratio of y changes to x changes for any values of x which defines linear relation between x and y.
but this equation contains a term with x², which changes the size of change of y for every value of x.
e.g. when x changes by 1 from 1 to 2, y changes by 3 from 1² to 2² (1 to 4). but if x changes again by 1 from 2 to 3, y changes by 5 from 2² to 3² (4 to 9).
this is clearly not constant.
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
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Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7 A recipe calls for 40 ounces of rice. how many grams of rice does the recipe require
Answer:
So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions
Step-by-step explanation:
The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.
What are the coordinates of the transformed rectangle P'Q'R'S'?
A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)
Answer:
The answer should be A.
Step-by-step explanation:
I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)
What is the value of x?
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
therefore, value of x is 6°.
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Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12