Step-by-step explanation:
-2x - 5y = 16___(1)
2x - 3y = -16___(2)
(1) + (2) ==> -2x -5y = 16
(+) 2x -3y = -16
-8y = 0
y = 0/-8
y = 0
y=0 in (1)
(1)---> -2x-5y =16
-2x - 5(0) = 16
-2x - 0 = 16
-2x = 16
x = 16/-2
x = -8
x = -8 , y = 0
-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)
multiply eqn(1) with 2
2 × (1) : -10x + 4y = 22___(3)
(3) - (2) :. -10x + 4y = 22
(-) -3x + 4y = -13
-7x = 35
x = 35/-7
x = -5
x=-5 in (1)
(1) : -5x + 2y = 11
-5(-5) + 2y = 11
25 + 2y = 11
2y = 11 - 25
2y = -14
y = -14/2
y = -7
x = -5 , y = -7
find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place 4 9
Answer:
36.28 units
Step-by-step explanation:
perimeter of rectangle and perimeter of semi circle
2(l +h) + 1/2 (pid) + d
2(4+9)+ 1/2 (3.14 ×4) +4
2(13) + 10.28
=36.28 units
Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction
Answer:
9/20
Step-by-step explanation:
i tried and got it wrong. it is 9/20
graph of a function, f(x), has zeros at - 3, and 5. Which of
following is a factor of f(x)?
(2x - 3)
(2x + 3)
(3x + 2)
(x + 5)
The function is a quadratic function, and none of the given options is a factor of the graph of the function
How to determine the factor?The zeros of the function are given as:
-3 and 5
This means that:
x = -3 and x = 5
Rewrite as:
x + 3 = 0 and x - 5 = 0
Multiply both equations
(x + 3)(x -5) = 0 * 0
This gives
(x + 3)(x -5) = 0
Express as a function
f(x) = (x + 3)(x -5)
The above means that the factors of the function are (x + 3) and (x -5)
Hence, none of the given options is a factor of the graph of the function
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I need an equation for the line
Answer:
Y = -(1/3)X
Step-by-step explanation:
Extract two points
P1(6; -2) P2(-6; 2)
Now:
Y=mX+n. n=0 (interception with Y axis) exis)
Y=mX +0. m= (y2-y1) / (x2-x1)
m= (2+2) / (-6-6)
m= -(1/3)
Y=-(1/3)X
Can someone help me with this one math problem?
Convert 32.8% to a fraction in simplest form and a decimal.
Answer:
Step-by-step explanation:
32.8 = 164/5
= 32/4/5
as a fraction
To convert the decimal 32.8 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
32.8 = 32.8/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
32.8
1
= (32.8 × 10)
(1 × 10)
= 328/10
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,
(328÷2)
(10÷2)
= 164/5
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10
is also equal to 32/4 /5
when expressed as a mixed number.
Katrina had $138.72 in her checking account. she wrote checks to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. how much does katrina have in her account now?
x -10° 3x 5x X 2х - 10=360
Answer:
30°
Step-by-step explanation:
x+3x+(x-10)°+5x+(2x-10)°=360°
=>4x+x-10°+5x+2x+10°=360°
=>12x=360°
=>x=360°/12
=>x=30°
The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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can someone please help me
The matrix expressions are:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]How to solve the matrix expression?The rule for matrix product states that:
If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.
Then, the dimension of the product matrix is: m by p
Using the above rule, we have:
Expression 1:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
By comparison, we have:
12a + 7c = 2
5a + 3c = 3
12b+ 7d = -1
5b + 3d = 2
Using a graphing tool, we have:
a = -15, b = -17, c = 26 and d = 29
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expression 2:
[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
By comparison, we have:
6.75a + 3b = 8
-9a - 4b = 5
Using a graphing tool, the system of equation has no solution
Hence, the matrix expression cannot be solved
Expression 3:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
By comparison, we have:
-2a + 3b = 6
3a + 5b = 8
Using a graphing tool,
a = 3 and b = 4
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
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I need help, please and thank you
Answer:
1 and 1/12
hope this helped
I need help with? this question. what is 7(-7)+149-56/2=?
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22
Use the Commutative Property of
Multiplication to write a related
number sentence.
4 X 5 = 20
Answer:
5*4= 20
Step-by-step explanation:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
4*5 = 20
We can change to order and the result is still the same
5*4= 20
Answer:
so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5
Step-by-step explanation:
Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes
Answer:
C' (- 25, 5 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5
C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )
Which shape is always a parallelogram
Answer:
A Square, Rectangle, and a Rhombus
Step-by-step explanation:
I think that is all of them.
Let (-4,-5) be the point on the terminal side of theta find cos (theta), sec (theta) & cot (theta)
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]
How to Solve 1.5 kg : 350kg
30/7
Step-by-step explanation:
1.5kg : 350g
1kg = 1000g
So, 1.5kg = 1500g
1500g : 350g
1500/350 = 30/7
The answer is 30/7.
Please help Geometry
Answer:
the answer is x=16
Step-by-step explanation:
trust me bro
9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.
Answer:
One similar triangle: 15, 36 and 39
Another similar triangle: 10, 24, 26
Step-by-step explanation:
When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.
Scale factorA scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.
The original sides from the question are 5, 12 and 13.
First similar triangleLet's pick 3 to be a scale factor.
Multiply every original side by the scale factor to get the side lengths of a similar triangle.
5 × 3 = 15
12 × 3 = 36
13 × 3 = 39
∴ One similar triangle can have the sides 15, 36 and 39.
Second similar triangleLet's pick another scale factor: 2
Now, we do the same. Multiply the original sides by the scale factor.
5 × 2 = 10
12 × 2 = 24
13 × 2 = 26
∴ Another similar triangle can have the sides 10, 24 and 26.
Choosing a scale factorWe can pick almost any number to be a scale factor. If we pick a scale factor that is:
greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.We can make an infinite amount of other similar triangles just by changing the scale factor.
please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
HELPP MEEEEEEEEEEEEEE thanks
no fake answers please will mark the brain list if correct.
Answer: Equal to.
Step By Step Explanation:
Answer:
they are equal
Step-by-step explanation:
5/6 * 250
(5 * 250)/6
1250/6
208.33
(1/3 * 250) + (1/2 * 250)
(250/3) + (250/2)
500/6 + 750/6
1250/6
208.33
The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.
A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.
Which of the following is a true statement regarding the information shown in the histogram?
T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.
Answer:
Its a categorical variable
Step-by-step explanation:
I took the test on edge
Answer:
T-shirt size is a categorical variable.
Step-by-step explanation:
I used chatopenai.com
The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?
Answer:
y= x + 3
Step-by-step explanation:
I have the same question and that was the correct answer
y= x+ 3 is flatter.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
As, the slope of y = x + 3 is 1.
So, the gradient is 1.
So, y = 2x + 3 is flatter
The slope of 2x-1 is 2
and, the slope of y= -4x+3 is -4
and the gradient is -4.
So, y= -4x +3 is steeper.
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Find the missing term
(m-n)^2=m^2-_____+n^2
Answer:
2mn
Step-by-step explanation:
The expanded form of the square can be found using the distributive property.
__
(m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property
= m² -mn -nm +n² . . . . use it again
= m² -2mn +n² . . . . . . combine like terms
The missing term is 2mn.
Is X/3=5+3y/4 a linear equation
Answer:
Yes
Step-by-step explanation:
Linear EquationsA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
What is a Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)
Answer:
2ft 2ft
Step-by-step explanation:
2ft,2ft,2ft,2ft
if you work 8 hours every two days, how many hours will he work in 7 days
Answer:
28 hours for 7 days
Step-by-step explanation:
8/2 =
4
4 hours for 1 day
1 x 7 =
7
7 x 4
28
28 for 7 days
Answer:
I would say the answer is 28
Step-by-step explanation:
In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.
Mulitply 4*7
or
2 days: 8 hrs
4 days: 16 hrs
6 days: 24 hrs
7 days: 28hrs
What is the shortest distance between the line y = 3x + 5 and the
point (0,0)? Round your answer to nearest tenth.
I NEED A FAST ANSWER PLS
Answer:
1.6 to nearest tenth.
Step-by-step explanation:
This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).
Equation of that line:
Slope = -1/3 so we can write:
y - 0 = -1/3(x - 0)
So its y = -1/3 x,
The point where it intersects with the given line is now found:
-1/3x = 3x + 5
10/3 x = -5
x = -5 *3/10 = -1.5.
- and the y coordinate = 3(-1.5) + 5 = 0.5.
So the point is (-1.5, 0.5)
and the required distance = √((-1.5)^2 + 0.5^2)
= 1.58
= 1.6 to nearest tenth.
The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
Answer:
It will become 64 times larger
Step-by-step explanation:
Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?
Answer: d = 11 bc 26 - 15 would equal 11
Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.
What was the cost of one book in dollars and cents?
Answer:
$11.40
Step-by-step explanation:
Subtract the bookmark from the total amount
82.00 - 2.20 = 79.80
Divide the answer by how many books you purchased
79.80/7
= ($11.40)