Answer:
x = 19 1/3
Step-by-step explanation:
6/14 = 7/(x-3)
Using cross products
6 * (x-3) = 7*14
6x -18 = 98
Add 18 to each side
6x-18+18 =98+18
6x = 116
Divide each side by 6
6x/6 = 116/6
x =58/3
x = 19 1/3
Answer= 58/3
Step by Step
Step 1: Cross-multiply.
6*(x−3)=(7)*(14)
6x−18=98
Step 2: Add 18 to both sides.
6x−18+18=98+18
6x=116
Step 3: Divide both sides by 6.
6x /6 = 116 /6
x= 58 /3
Find the slope and the y-intercept of the line.
- 8x+4y=-4
Write your answers in simplest form.
slope:
.
08
Undefined
X
$
?
y-intercept: 1
Answer:
slope - (2x)
y-intercept - (-1)
Step-by-step explanation:
-8x + 4y = - 4
4y = 8x - 4
y = 2x - 1
Find the value of x. Round to the nearest tenth.
15.9
12.4
12.8
16.3
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 28 = 14/x
x cos 28 = 14
x = 14 / cos 28
x=15.85598
Rounding to the nearest tenth
x = 15.9
Solve x∕4 + y∕3 = 1 for x.
Answer:
x = [tex]\frac{12-4y}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{4}[/tex] + [tex]\frac{y}{3}[/tex] = 1
Multiply through by 12 to clear the fractions
3x + 4y = 12 ( subtract 4y from both sides )
3x = 12 - 4y ( divide both sides by 3 )
x = [tex]\frac{12-4y}{3}[/tex]
Plz help me with this problem guys
what is the value of 14 - a² given a = -3? A. 23 B. 11 C. 8 D. 5
Answer:
The answer is D. 5
Step-by-step explanation:
14-(-3)^2=
14-9=5
The value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.
We have the following function of [tex]a[/tex] -
f(a) = 14 - [tex]a^{2}[/tex]
We have to determine the value of this function at a = -3.
What is the value of f(x) = 2x - 3 at x = 3?\The value of f(x) = 2x - 3 at x = 3 can be calculated as follows -
f(3) = 2 x 3 - 3 = 6 - 3 = 3
According to the question -
f(a) = 14 - [tex]a^{2}[/tex]
Now, the value of the function f(a) can be calculated as follows -
f(- 3) = 14 - [tex](-3)^{2}[/tex]
f(- 3) = 14 - 9
f(- 3) = 5
Hence, the value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.
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Use the least common denominator of 10 and 15 to solve 2/10+7/15 .
Answer: 2/3
Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.
We find the common denominator by finding
the common multiple for these 2 denominators.
Multiples of 10
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
Multiples of 15
1 x 15 = 15
2 x 15 = 30
As you can see, we have a common multiple of 30.
To get 30 in the denominator of 2/10, multiply top and bottom by 3.
To get 30 in the denominator of 7/15, multiply top and bottom by 2.
So we have 6/30 + 14/30 which is 20/30.
20/30 can be reduced to 2/3.
A triangle and the coordinates of its vertices is shown in the coordinate plane below. Enter the area of this triangle in square units, rounded to the nearest tenth. square units
Answer:
22 units²
Step-by-step explanation:
1/2b*h=area
You can either count the units or use the distance formula.
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
b = 4 units
h = 11 units
area = (1/2*4)*11 = 22 units²
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 40 dumpster loads of waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week. A f(x) = −2x + 40. B f(x) = 2x + 40 C f(x) = −2x + 50 D f(x) = 2x + 50
Answer:
The answer is A f(x) = -2x + 40
Step-by-step explanation:
it has a negative 2 because the dumps are decreasing by 2 every week and x is the amount of weeks and + 40 because that is the amount you started with.
Solving Inequalities and graphing them.
Answer:
I used to know this not anymore sry g
which is a true statement about an exterior angle of a triangle
Answer:
D
Step-by-step explanation:
The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same flat/straight line and that makes a pair.
Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.
So, the correct answer would be D.
The true statement about an exterior angle of a triangle is C; It forms a linear pair with one of the interiior angles of the triangle .
What is the Exterior Angle of a Triangle Property?An exterior angle of a triangle is equal to the sum of the opposite interior angles.
We know that the exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same straight line and that makes a pairs.
Therefore we can say that it is formed by a linear pair with one of the interior angles of the triangle.
So, the correct answer would be C.
Learn more about exterior angles;
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Could you help with maths please? All shown on the picture :)
Answer:
4 is tenths (a) and 5 is hundredths (b)
Step-by-step explanation:
Now, 0.45
0 indicates the ones place (it comes before the decimal)
0.45 can also be written as:
0.4+0.05
= 4/10+5/100
what can we conclude from this?
we can say that 4 is in the tenths whilst 5 is in the hundredths.
therefore, a is 4 and b is 5.
Hope this helps you! :)
What is the 6th row of Pascal's triangle?
Answer:
1, 6, 15, 20, 15, 6, 1
In the expression 2^3 the 2 is known as the
base
exponent
rational number
irrational number
Answer:
Hey there!
In this problem, 2 is known as the base.
Let me know if this helped :)
Answer:
The Base
Step-by-step explanation:
The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.
2 is being raised to the third power. This means that 2 is the base of the power.
3 would be the exponent in the power.
Brainilest Appreciated.
What is the value of the 6 in 13.76?
Answer:
0.06
Step-by-step explanation:
This is because the 6 is in the hundredths place.
━━━━━━━☆☆━━━━━━━
▹ Answer
0.06 (Hundreths)
▹ Step-by-Step Explanation
The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
If ∠A and ∠B are vertical angles, what is true about their measures?
Answer:
they are equal due to the vertical angles theorem
vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answer:
They are equal
Step-by-step explanation:
I just had it on a exam and can I have brainliest Im trying to level up
HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4
Answer:
2 hrs, 24 min
Step-by-step explanation:
Sally: in one hour, she can paint 1/4 of the room.
Joe: in one our, he can paint 1/6 of the room
Hour one: 1/4+1/6=3/12+2/12=5/12
1÷5/12=1*12/5=12/5
12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes
Answer: 2.4 hours
Step-by-step explanation:
1/4 1/6
LCM
3/12+2/12=5/12 repricical 12/5 =2.4
what seven divided by 4
Answer:
7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.
Step-by-step explanation:
Pls mark as brainliest answer
The calculated division of the numbers seven divided by 4 is 1 3/4
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
seven divided by 4
When represented as an equation, we have
seven divided by 4 = 7/4
Divide 7 by 4
So, we have the following result
seven divided by 4 = 1 3/4
Using the above as a guide, we have the following:
the result is 1 3/4
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A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist
Answer:
37.5 mi/h
Step-by-step explanation:
time = distance / speed
On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.
On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.
__
speed = distance / time
The average speed for the whole trip was ...
speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h
His average rate of speed was 37.5 miles per hour.
4x + 5 = x + 26 need help
Answer:
x = 7
Step-by-step explanation:
4x + 5 = x + 26
4x - x = 26 - 5
3x = 21
x = 21/3
x = 7
Check:
4*7 + 5 = 7 + 26
28 + 5 = 33
6) By which least number should each of the following numbers be divided to make them perfect squares?
a) 3920
3920|2
1960|2
980|2
490|2
245|5
49|7
7|7
1
[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]
It's 5
If P = (3,4), Find: Rx=1 (P)
Answer:
-1, 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer is (-1,4)
multiplying polinomiyal(5x+2)(3x+4)
Answer:
(5x+2) (3x+4)
= 15x²+20x+6x+8
= 15 x²+ 26x+8
Hope this helps ^_^
Answer:
Step-by-step explanation:
Use FOIL method
(5x + 2)(3x + 4) = 5x * 3x + 5x *4 + 2*3x +2*4
= 15x² + 20x + 6x + 8 { now add like terms}
= 15x² + 26x + 8
Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm
Answer:
A=45cm^2
Step-by-step explanation:
A= h/2(b1 + b2) for trapezoid
A=(5/2(6+12))cm^2
A=(2.5(18))cm^2
A=45cm^2
If Y varies directly as x
write down the equation
connecting y and x. If y = 10
when x=5, find the value
of y when x= 16
Answer:
32
Step-by-step explanation:
If y is 2 times as much as x, then 1 = 2
5 x 3 = 15 + 1 = 16
10 x 3 = 30 + 2 = 32, or 16 x 2 = 32
Please tell me if I'm wrong.
Solve for x. 23x +2=15x+48x+6
Answer:
[tex]x = - \frac{1}{10} [/tex]Step-by-step explanation:
23x +2 = 15x+48x+6
To solve for x group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
23x - 15x - 48x = 6 - 2
Simplify
- 40x = 4
Divide both sides by -40
[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]We have the final answer as
[tex]x = - \frac{1}{10} [/tex]Hope this helps you
10 points to the person who answers this question.
Answer:
your answer is
2 X l+b
2 X 6x + 3x
8x + 10...
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values. the coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ (-2, 2) the coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ (4, -2) the coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ (3, -1) the coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ (4, 2)
Answer:
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.
Given Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
If a point X(x, y) is rotated 90° counterclockwise, the new location X' is at (-y, x)
If a point X(x, y) is rotated 90° clockwise, the new location X' is at (y, -x)
If a point X(x, y) is rotated 180° clockwise, the new location X' is at (-x, -y)
If a point X(x, y) is rotated 270° counterclockwise, the new location X' is at (y, -x)
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Answer:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise, the new point is at A'(-y, x).
If a point A(x, y) is rotated 90° clockwise, the new point is at A'(y, -x). If a point A(x, y) is rotated 180° counterclockwise, the new point is at A'(-x, -y).
If a point A(x, y) is rotated 270° counterclockwise, the new point is at A'(y, -x).
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is D'(-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is C"(3, -1).
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is A''"(4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is B"(4, 2)
Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps
Answer:
1.2 milli ampsStep-by-step explanation:
From ohms law the expression for voltage is given as
[tex]V= IR[/tex]
Now given that
Voltage, V= [tex]2.4*10^3[/tex] volts
Resistance R= [tex]2*10^6[/tex] ohms
Applying ohms law the current can be calculated by making I the subject of formula
that is I= V/R
[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]
The current in amps is 1.2 milli amps
1/4(8x-4)=
need help please answer
Answer:
2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)
Step-by-step explanation:
if the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H
Answer:
h = 12Step-by-step explanation:
To find the value of h use the formula for finding the slope of a line
That's
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where ( x1, y1) and (x2 ,y2) are the points
From the question
slope = - 3
The points are [4,-9] and [-3,h]
Substitute these values into the equation
We have
[tex] - 3 = \frac{h + 9}{ - 3 - 4} [/tex]
[tex] - 3 = \frac{h + 9}{ - 7} [/tex]
Cross multiply
That's
- 3(-7) = h + 9
21 = h + 9
h = 21 - 9
We have the final answer as
h = 12Hope this helps you