Answer:
420
Step-by-step explanation:
1. Find the area of the square:
5 x 5 = 25
2. Find the area of the triangle:
1/2 x base x height
1/2 x 5 x 4 = 10
3. Add the two areas:
25 + 10 = 35
4. Multiply 35 by 12:
35 x 12 = 420
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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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 )
Don't know this need help
Answer:
c
Step-by-step explanation:
slope of 2,1 and 7,1
Answer:
0
Step-by-step explanation:
Answer:
0
I hope this helps!
will give brainliest
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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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
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!
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]
Can someone please help! What is the rule? I will mark brainliest, please just help me and give me the rule.
Answer:
X+m=y
M=1/1
You add 3, then 4, 5, 6
your slope (m) will be 1/1=1
1+3=4
2+4=6
3+5=8
4+6=10
5+7=12
Hope this helps! Brainliest is appreciated :)
~Mitsuna
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
A Big Mac has about 600 calories and a mass of about 200 grams. how many calories are in 10 grams of a Big Mac?
Answer:
30 calories
Step-by-step explanation:
[tex]\frac{10g}{1} *\frac{600cal}{200g} = 30 cal[/tex]
Answer:
30cal/10grams
Step-by-step explanation:
200/10 = 20
600/20 = 30
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
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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
Hernando ate 2/8 of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally. To determine the fraction of the whole pizza that each of his friends received, hernando performed the calculations below. He concluded that each person received 1/8 of the whole pizza. Are hernandos calculations correct. Explain why or why not
Answer: The calculation is correct.
Step-by-step explanation:
If Hernando ate 2/8 of a pizza for a dinner, the remaining pizza will be:
= 1 - 2/8
= 6/8
If he gave his 6 friends the rest of the pizza and told them to share it equally, each person will get:
= 6/8 ÷ 6
= 6/8 × 1/6
= 1/8
Each person will get 1/8 each
Since he also concluded that each person received 1/8 of the whole pizza, Hernandos calculations are correct
Answer:
So B
Step-by-step explanation:
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.
What is the slope of the line shown?
Answers
A: 3
B:2
C:1/2
D:-3
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
F(x)=2x+4 translation 7 units left
F(x - 7)=2x - 10
Step-by-step explanation:
F(x)=2x+4 translation 7 units left is given as:
[tex]F(x - 7)=2(x - 7)+4 \\ \\ F(x - 7)=2x - 14+4 \\ \\ \purple{ \boxed{F(x - 7)=2x - 10 }} \\ \\ [/tex]
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)
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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
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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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
Please guys i need help with this
Answer:
4
Step-by-step explanation:
Raising 50 cents by 25 cents is adding on 25 cents. 0.50 + 0.25 = 0.75
And it was 0.75 per cup so 0.75c
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
Help with substitution please.
Help me with this pls
Answer:
127.3 feet.
Step-by-step explanation:
The line from first base to third base is the hypotenuse of a right triangle, with the right angle at home base.
Since this is a right triangle, we will use the Pythagorean Theorem to find the hypotenuse.
So, let a = one side and let b = the other side of the right triangle. And, let c = the hypotenuse.
The Pythagorean Theorem is:
c^2 = a^2 + b^2.
So, c= sqrt(a^2 + b^2)
And we have: c= sqrt(90^2 + 90^2)
= sqrt(8100 + 8100) = sqrt(16,200)
= 127.3 ft.
Conclusion: The distance from first base to third base is 127.3 ft, (approximately).
4(x^2-2x) +(x-1)(x^2+x+1)-x(x^2-4)
Answer:
4x^2−4x−1
if u need an explanation tell me
Answer:
4x² - 4x - 1
Step-by-step explanation:
Given
4(x² - 2x) + (x - 1)(x² + x + 1) - x(x² - 4) ← distribute all parenthesis
= 4x² - 8x +x ³ + x² + x - x² - x - 1 - x³ + 4x ← collect like terms
= 4x² - 4x - 1
Find g(x), where g(x) is the translation 10 units right of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)= (x-10)^2[/tex]
Step-by-step explanation:
g(x) = [tex](x-10)^{2}[/tex] is the translation 10 units right of f(x) = [tex]x^{2}[/tex].
What is translation?Translation means the displacement of a figure or a shape from one place to another.
g(x) = [tex](x-10)^{2}[/tex] where a = 1, h = 10 and k = 0.
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