Find the gradient of the line segment between the points (-3,2) and (4,4).
Answer:
slope = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]
Answer:
= 2
7
Step-by-step explanation:
slope = y2 - y1
x2 - x1
=4 - 2
4 - -3
= 2
7
y - 4 = 2
x - 4 7
7(y - 4) = 2(x - 4)
7y - 28 = 2x - 8
7y = 2x - 8 + 28
7y = 2x + 20
7 7 7
Gradient = 2
7
Can someone answer this for me?
Answer:
sin = opposite / hypotenuse
cos = adjacent/hypotenuse
sin U = 4/5
cos U = 3/5
sin T = 3/5
cos T= 4/5
HCF of smallest 2 digit composite number and smallest 3 digit prime number is?
Answer:
HCF = 1
Step-by-step explanation:
Smallest 2 digit composite number = 10
Smallest 3 digit prime number = 101
Factors of 10 = 1 , 2 , 5
Factors of 101 = 1 , 101
HCF = 1
find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m
Answer:
A =374.1 m^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
A = 25.8*14.5
A =374.1 m^2
Answer:
Area of rectangle is 374.1 m ²
Step-by-step explanation:
Given That :-Length of rectangle = 25.8 mBreadth of rectangle = 14.5 mTo Find :- Area of rectangleFormula Used :-Area of rectangle = Length × Breadth
Solution : -Using Formula
Area of rectangle = Length × Breadth
substitute the values.
Area of rectangle = 25.8 m × 14.5 m
multiply, we get
Area of rectangle = 374.1 m ²
Therefore, the area of rectangle is 374.1 m ²
Figure ABCD is rotated clockwise about the origin through 360 degrees. Identify the transformed figure.
Answer: 360 is a complete circle meaning the figure will be back where it was originally
Step-by-step explanation:
Explain why angle “a” must be 135
i need help in this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
A rectangle if formed by placing two identical squares side by side. The perimeter of the rectangle is 6 cm. What is the total area of the squares.
Answer:
2 cm²
Step-by-step explanation:
Perimeter of a rectangle = perimeter of a square + perimeter of a square
2 congruent squares, side by side
The perimeter of the two squares = 6*sidelength.
Perimeter of a rectangle = 6 cm
The perimeter of the two squares = 6 * length
= 6l
Perimeter of a rectangle = The perimeter of the two squares
6 = 6l
l = 6/6
l = 1
Length = 1 cm
What is the total area of the squares.
Area of a square = lenght²
Area of two squares = 2(length ²)
= 2(1²)
= 2(1)
= 2 cm²
If two side of a right angle triangle is 25cm and 15cm what is the length of the unknown side
Answer:
29.2 cm
Step-by-step explanation:
The two leg lengths are 15 and 25 cm and we are to find the length of the hypotenuse. The Pythagorean Theorem applies here because this is a right triangle.
a^2 + b^2 = c^2 becomes 15^2 + 25^2 = 225 + 625 = 850
The hypotenuse length is thus √850 ≈ 29.2 cm
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
Find the area of the figure. (Sides meet at right angles.)
Answer:
28 square feet
Step-by-step explanation:
the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.
10x2=20
4x2=8
20+8=28
NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
help pls. cant figure it out.
[tex]\longrightarrow{\green{a\:=\:2}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
➡[tex]\:4a + 1 = a + 7[/tex]
Combining like terms, we have
➡[tex]\:4a - a = 7 - 1[/tex]
➡[tex]\:3a = 6[/tex]
➡[tex]\:a = \frac{6}{3} [/tex]
➡[tex]\:a = 2[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➪ [tex] \: 4 \times 2 + 1 = 2 + 7[/tex]
➪ [tex] \: 8 + 1 = 9[/tex]
➪ [tex] \: 9 = 9[/tex]
➪ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds since he let the mass free. How many seconds, to the nearest tenth, will it take for the mass to return to its original position?
Answer: 1.8 s
Step-by-step explanation:
Given
The height of the spring mass system above the table is given by
[tex]h(t)=6.85\cos (3.42t)+9[/tex]
The mass is performing S.H.M with frequency [tex]\omega =3.42[/tex]
and [tex]\omega T=2\pi[/tex]
[tex]\therefore T=\dfrac{2\pi }{\omega}[/tex]
time when mass returns to its original position
[tex]T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s[/tex]
The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
Calculation of the time in seconds:Since the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds
So here the time should be
[tex]= 2\pi \div 3.42\\\\= 2\times 3.14\div 3.42[/tex]
= 1.8 seconds
Therefore, The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
Learn more about time here: https://brainly.com/question/24308516
Someone pls help me ill hive out brainlist pls don’t answer if you don’t know
Answer:
B. 14 and 15
hope this helps
have a good day :)
Step-by-step explanation:
the square root of 200 is 14.14213562 so it has to be between 14 and 15
Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M. Una hora mas tarde se encuentra a 109 km de La Romana sabiendo que la distancia de Santo Domingo a La Romana es de 130 km
V: velocidad
T: tiempo
D: distancia
V= D/T
Answer:
Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Step-by-step explanation:
Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:
130 - 109 = 21 km por hora
130 / 21 = 6.19
1 = 60
0.19 = X
0.19 x 60 = 11.4
Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
ASAP what is the answer?
Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
PLSSS ANSWER FASTTT
If angle ACB is 34 degrees, what is the measure of angle ADB?
A
Answer:
34 because the shape is split.
Step-by-step explanation:
the correct answer
A school bus has 25 seats, with 5 rows of 5 seats, 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second grade students occupy the first row?
ОА 2P20
OB gPg 20115
oc. gg* 25 C14
OD. SPg ISPIS
Ol. 9Pg x 2g Cis
Answer:
5P5 × 20P15
Step-by-step explanation:
i think...
sorry if im wrong
good luck
Given the function f(x) = −5x^2 − x + 20, find f(3).
Answer:
f(3) = -28
Step-by-step explanation:
f(3) = -5(3²) - 3 + 20
= -5(9) - 3 + 20
= -45 - 3 + 20
= -48 + 20
= -28
What are plane shapes
Answer:
A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.
Answer:
A closed two dimensional or flat shape figure is called plane shape.
A rectangle has length (x+3)cm and width (x-2).Given that it's area is 50cm2,find the dimensions of the rectangle
Answer:
length- 10cm, width- 5cm
Step-by-step explanation:
You want to convert this into an algebraic equation.
Since a=lw, in this case, 50=lw. Subbing (x+3) for l and (x-2) for w, we get the equation (x+3)(x-2)=50.
Using FOIL, we can expand the brackets to make x²-2x+3x-6=50 and collect like terms to x²+x-6=50.
We want all the numbers on one side (to use the null factor law), so we subtract 50 from both sides. This gives x²+x-56=0.
From there, we factorise it, which becomes (x-7)(x+8)=0. (I used the cross method for this)
With the null factor law, one of the brackets must be equal to 0, meaning x-7=0 or x+8=0. This gives x as either 7 or -8.
With measurement, units must be positive, meaning it has to be 7. We can sub this for x in the 2 equations (length and width) to get the answers.
Length=x+3 becomes 7+3, which is 10cm.
Width=x-2 becomes 7-2, which is 5cm.
**This content involves writing, expanding, and factorising quadratic equations, and the null factor law which you may wish to revise. I'm always happy to help!
Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
State what additional information is required in order to know that the triangles are congruent for the reason given
r=x(a+b) solve for A
Answer:
Step-by-step explanation:
r=x(a+b)/x
r/x=a+b-b
r/x-b=a
PLz solve quick i need help asap. : )
Answer:
20 degrees
Step-by-step explanation:
the two angles must be congruent
4x - 23 = 2x + 17
2x = 40
x = 20
Determine if the points A(1,-3), B(4,4), and C(5,8) are collinear.
0 Yes
Ο Νο.
O We do not have enough information to solve this problem.
Answer:
no
Step-by-step explanation:
since;
(4--3)/(4-1)≠(8-4)/(5-4)
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
Maria rolls a six sided die. What is the possibility that she rolls a prime number?
1/6
1/3
1/2
2/3
Answer:
1/2
Step-by-step explanation:
2, 3, and 5 are the prime numbers. Therefore, it would be 3/6 or 1/2 chance she rolls a prime number.