Answer:
2 apples
Step-by-step explanation:
These are my 5 apples... οοοοο
If I give 3 of my apples away... οο
You can see that there are 2 apples left.
5 - 3 = 2
y
=
y=
3
x
+
28
3x+28
y
=
y=
−
4
x
−4x
Replace y = -4x into y = 3x + 28
-4x = 3x + 28
Minus both side by 3x
-7x = 28
x = -4
Recheck : - 4 x (-4) = 3 x (-4) + 28
16 = -12 +28 = 16 (t)
Answer:
(- 4, 16 )
Step-by-step explanation:
y = 3x + 28 → (1)
y = - 4x → (2)
substitute y = 3x + 28 into (2)
3x + 28 = - 4x ( add 4x to both sides )
7x + 28 = 0 ( subtract 28 from both sides )
7x = - 28 ( divide both sides by 7 )
x = - 4
substitute x = - 4 into (2)
y = - 4(- 4) = 16
solution is (- 4, 16 )
Three vertices of parallelogram PQRS are show: Q(8, 5), R(5, 1), S(2, 5)
Place statements and reasons in the table to complete the proof that shows that parallelogram PQRS is a rhombus.
[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]
How to demonstrate that a given figure represents a rhombus
In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that [tex]\overline {QR} \cong \overline {RS}[/tex] and [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex] by geometric and algebraic definitions and theorems:
[tex]Q(x,y) = (8,5)[/tex], [tex]R(x,y) = (5,1)[/tex], [tex]S(x,y) = (2,5)[/tex] Given[tex]QR = \sqrt{(5-8)^{2}+(1-5)^{2}} = 5[/tex] Pythagorean theorem/Line segment length formula[tex]RS = \sqrt{(2-5)^{2}+(5-1)^{2}} = 5[/tex] Pythagorean theorem/Line segment length formula[tex]QR = RS[/tex] (2) and (3)[tex]\overrightarrow {QR} \,\bullet\,\overrightarrow{RS} = (-3)\cdot (-3) + (-4)\cdot (4) = -7[/tex] Dot product[tex]\theta = \cos^{-1}\left(\frac{\overrightarrow{QR}\,\bullet\,\overrightarrow{RS}}{QR\cdot RS} \right) = \cos^{-1}\left(-\frac{7}{25} \right) \approx 106.260^{\circ}[/tex] Dot product[tex]\overline{QR} \cong \overline {RS}[/tex] (4) and (6)[tex]PQRS[/tex] is a rhombus. (6) and (7)/Result[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]
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The day after Thanksgiving dinner, Thomas begins a workout that burns 245 calories each day. It took him 2 weeks to burn off the calories he consumed on Thanksgiving. How many calories did Thomas consume on Thanksgiving?
Answer:
3,430 Cal.
Step-by-step explanation:
You would multiply the number of days in a week: 7 by 2 (14) and then multiply that bye 245 = 3,430
Answer:
3,430
Step-by-step explanation:
First we have 2 weeks, there are 7 days in a week.
2 x 7 = 14
He burns off 245 a day. We multiply 245 by 14 to get:
3,430
Solve for x. 3x²+13x=10 Enter your answers in the boxes.
Answer:
2/3 or -5 is correct for all future users.
Step-by-step explanation:
The roots of the quadratic equations or the values of x are -5 and 2/3.
What is a quadratic equation?A quadratic equation is an algebraic equation of degree two. An algebraic equation of degree n has exactly n number of roots.
Given a quadratic equation 3x² + 13x = 10 which can be written as,
3x² + 13x - 10 = 0.
Now two numbers that add to 13 and multiplied to -30 are 15 and - 2.
3x² + 15x - 2x - 10 = 0.
3x(x + 5) - 2(x + 5) = 0.
(x+5)(3x-2) = 0.
x + 5 = 0 OR 3x -2 = 0.
x = -5 OR x = 2/3.
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What is the value of the expression 3x-8y when x=10 and y=2?
Answer:
14
Step-by-step explanation:
3x-8y
(3*10)-(8*2)
30-16
14
Answer:
30-16
Step-by-step explanation:
Find the distance between Line c and Point A. Round to
the nearest tenth.
Answer:
The distance is approximately 3.6
Step-by-step explanation:
The distance from a point (xo, yo) to a line ax+by+c=0 is the shortest distance from the given point to any point on the line.
It can be calculated with the formula:
[tex]\displaystyle d={\frac {\mid ax_{0}+by_{0}+c\mid}{\sqrt {a^{2}+b^{2}}}}[/tex]
The coordinates of point A are (1,-2). The equation of the line must be found by knowing two clear points it passes through.
These points are (0,3) and (6,-1). First, we calculate the slope:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{-1-3}{6-0}=\frac{-4}{6}=-\frac{2}{3}[/tex]
The equation of the line in slope-point form is:
[tex]y=m(x-x_o)+y_o[/tex]
Taking the point (0,3) and the slope above:
[tex]\displaystyle y=-\frac{2}{3}(x-0)+3[/tex]
Multiply by 3:
[tex]3y=-2x+9[/tex]
Moving all terms to the left side:
[tex]2x+3y-9=0[/tex]
We now have all the required values to calculate the distance:
a=2, b=3, c=-9, xo=1, yo=-2
[tex]\displaystyle d={\frac {\mid 2\cdot 1+3\cdot (-2)+(-9)\mid}{\sqrt {2^{2}+3^{2}}}}[/tex]
[tex]\displaystyle d={\frac {\mid 2-6-9\mid}{\sqrt {13}}}\approx 3.61[/tex]
The distance is approximately 3.6
junto a una compañera o compañero realiza en un plano de un barrio ubica entre lugares importantes y escriban sus coordenadas por favor
Las coordenadas de la escuela (rojo) son (4,3), las coordenadas de mi casa (rosado) son (6,5) las coordenadas del supermercado (verde) son (11,4) y las coordenadas del restaurante (amarillo) son (9,8).
¿Qué es una coordenada?Se refiere a una expresión, valor o magnitud sobre el plano cartesiano que muestra la ubicación de un punto o referencia.
¿Cómo escribir una coordenada?Siempre se deben tener los valores de ambos ejes: el eje y (vertical) y el eje x (horizontal). Para esto primero escriba el valor del eje x luego añada una coma y escriba el valor de y.
De acuerdo a lo anterior, los lugares ubicados en el mapa tiene las siguientes coordenadas:
(4,3)
(6,5)
(11,4)
(9,8)
Aprenda más sobre coordenadas en: https://brainly.com/question/24702640
Type the correct answer in the box.
What trigonometric expression can be used to find the value of X? Replace a and b with the correct values
Answer:
a=12 b=25 degrees
Step-by-step explanation:
the tangent of the 25 degree angle gets you your answer
Trigonometry ('triangle', or 'measure') is the branch of mathematics that studies relationships between side lengths or the angles of the triangles
by the question, we have the following parameters:
Vertical Leg = x
Base length = 12
Angle at the vertical side = 25 degrees
The measure of the x is then calculated using the following tangent ratio
tan(x) = Base length / Vertical leg
Substitute known values
tan(x) = 12/x
So, the trigonometric expression that it is be used for find the value of x is tan(x) = 12/x
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Don't know this need help
Answer:
c
Step-by-step explanation:
Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 4.35 − 1.27 = ___.
Answer:
3.1
Step-by-step explanation:
When you round to the nearest tenth 4.35 is 4.4 and 1.27 is 1.3
Answer: 3.1
Step-by-step explanation: Round 4.35 and you get 4.4 round 1.27 you get 1.3 subtract them and you get 3.1
The admission fee to the Michigan State Fair is $6 for children and $4 for adults. On the first day $1250 was collected. A total of 220 children and adults attended the fair the first day. How many children and how many adults attended the fair the first day?
Write and solve a system of equations to answer the question.
Show your work here:
Question 2
Answer:
children and
adults attended the fair the first day.
Answer:
185 children and 35 adults
Step-by-step explanation:
first equation: 6x+4y=1250
second equation: x+y=220
work:
6x+4y=1250 (-1)
x+y=220 (6) we eliminate x, that's why I multiply each term by 6 and -1
-6x-4y=-1250
6x+6y=1320
2y=70
2y/2=70/2
y=35 (I used y for adults)
x+35=220
x=220-35
x=185 (and I used x for children)
hope this helps you^^
Create a data set that contains 10 values such that the mean is greater than the median.
Answer:
Go with anything, and I mean ANYTHING that is in a numerical order with an outlier
LITERALLY 1,2,3,4,5,6,7,8,9,100
you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5
will give brainliest
Through the points (-1, 1) and (-3,5)
Step-by-step explanation:
Slope of the line connecting the points (1,-1) & (3,5) is 6/2 = 3
so the equation using point form y-y1 = m(x-x1)
y+1 = 3(x-1) = 3x-3
y=3x-4
100 points for right answer
Answer:
Every point is moved so that it is three times from the y-axis... i think
Step-by-step explanation:
i used elimination method (btwn rotation and reflection also enlargement) using eyes hence not sure about answer
Help with substitution please.
If a student has a 60 percent in math what will he need to pass semester 2
Answer:
Step-by-step explanation:
Letter Grade Percentage Points Level
A+ 95-100 4.00 Exceptional
A 90 to less than 95 3.75 Excellent
B+ 85 to less than 90 3.50 Superior
B 80 to less than 85 3.00 Very Good
C+ 75 to less than 80 2.50 Above Average
C 70 to less than 75 2.00 Good
D+ 65 to less than 70 1.50 High-Pass
D 60 to less than 65 1.00 Pass
F Less than 60 0.00 Fail
Nina’s sister has 386 stickers that she wants to put in a book. Each page can hold 42 stickers. How many pages will she need? Explain your reasoning.
Answer:
10 pages
Step-by-step explanation:
386/42=9.1 pages
but you can not have .1 of a page so you add another page.
does anybody know how
2. A businessman starts
with $10 million and
loses $5 million an
hour. How much
money does he have
after eight hours
Answer:
0
Step-by-step explanation:
He loses it all in 2 hours
Answer:
-25 million
Step-by-step explanation:
Because after 2 hours you will lose all of your money and continue to go down into the negatives.
How many solutions does 4x2 + 12x + 9 = 0 have ?
Answer:
two solutions
Step-by-step explanation:
Any quadratic equation will always have two solutions.
Hope this helps!
what is the line of symmetry of the parabola y=x2+6×-9
x=6
x=-9
×=-3
Answer:
x = - 3
Step-by-step explanation:
given a parabola in standard form y = ax² + bx + c (a ≠ 0 )
then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 6x - 9 ← is in standard form
with a = 1, b = 6 , then the equation of the axis of symmetry is
x = - [tex]\frac{6}{2}[/tex] = - 3 , that is x = - 3
Max wants to rent a bicycle. The cost to rent a bike is a $5 insurance fee plus $3 per hour. Max has at most $20 to spend. Write an inequality to represent this scenario. Give a value that satisfies the inequality.
Answer: 5 + 3x ≤ 20; 5
Step-by-step explanation:
at most means not more than(less or equal to),which use the symbol ≤. Let x be the hour that Max rent.
5 + 3x ≤ 20
3x ≤ 15 [Subtract 5 from both sides.]
x ≤ 5 [Divide 3 from both sides.]
Any value less than or equal to 5 will be satisfies the inequality.
A triangle has two sides of length 6 and 12. What is the smallest possible whole-number length for the third side?
Answer: 7
To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.
So by the triangle inequality theorem, 6+x>12 meaning the minimum whole number value of x is 7.
Pls help I'll give brainly i really need it
hello
30/42 = x /49
42 x = 1 470
x = 35
30 /42 = 40/ 40 + y
30 y + 1200 = 1 680
30 y = 1 680 - 1 200
30 y = 480
y = 16
Answer:
x = 35
y = 16
Step-by-step explanation:
Both the triangles are similar by AA test of similarity.
[tex] \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}[/tex]
8) At a recent party, it cost $18.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?
Answer:
$148 pretty sure
Step-by-step explanation:
Answer:
$148
Step-by-step explanation:
Divide 18.50 by 10 to get the cost for 1 guest
18.50 / 10 = 1.85
Multiply 1.85 by 80
slope of 2,1 and 7,1
Answer:
0
Step-by-step explanation:
Answer:
0
I hope this helps!
What is the slope of the line shown?
Answers
A: 3
B:2
C:1/2
D:-3
Based on the sample in the table, how many of the 650
students in 7th grade will also like country as their favorite
type of music?
Music
Pop/Rock
Rap/Hip-hop
Country
Number
12
7
6
The sample in the table is used to show the preference of each student
156 students preferred country music
How to determine the number of students?From the question, we have:
Country = 6
Total students = 650
Total proportion = 25 i.e. 12 + 7 + 6
So, the number of students that preferred country music is:
Country = 6/25 * 650
Evaluate the product
Country = 156
Hence, 156 students preferred country music
Read more about proportions at:
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Greater than or less than
Square root of 55 or 7.7
Answer:
Square of 55 is 3025
Square of 7.7 is 5.29