Answer:
[tex]y=-x+10[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (2,8),and (8,2)
[tex]m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1[/tex]
Therefore, the slope of the line is -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-x+b[/tex]
2) Find the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in a given point and solve for b
[tex]8=-2+b[/tex]
Add 2 to both sides
[tex]8+2=-2+b+2\\10=b[/tex]
Therefore, the y-intercept is 10. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+10[/tex]
I hope this helps!
Pls help with all of them
Answer:
Blue area ~ 25π
Blue circumference ~ 10π
Pink area ~ 36π
Pink circumference ~ 12π
Grid area ~ 9 π
Grid Circumference ~ 6π
Red area ~ 49 π
Red Circumference ~ 14 π
Step-by-step explanation:
have a good day!! :)
What are the coordinates of the vertex
What is the area of this shape? Must use 3.14 as an approximation for pi :>
Let's split this up into two shapes: a half-circle and a triangle.
First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.
A = 1/2 * 3.14 * 8^2
A = 1/2 * 3.14 * 64
A = 3.14 * 32
A = 100.48 m^2
Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.
A = 1/2 * 12 * 8
A = 6 * 8
A = 48 m^2
Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.
100.48 + 48
148.48 m^2
Hope this helps!! :)
Step-by-step explanation:
area of the triangle
you know the height is 8 bc the radius of the circle is 8[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]
area of the half circle
[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]
area of entire shape
[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]
The angles of a trapezium are x, 2x, 3x
and 4x. Calculate the value of the second
smallest angle.
13. A set of 121 chairs needs to be arranged in
a square formation for a school assembly.
How many chairs should be lined up in each
row?
Answer:
11
Step-by-step explanation:
so basically u just square root 121 which give u 11
[tex] \sqrt{121} = 11[/tex]
Find the value of ( 2x + 10
Answer:
Solution given:
x+x+10°+40°+2x+10=360[complete turn]
4x+60°=360
4x=360-60
x=300/4=75
now
2x+10=2×75+10=160° is your answer
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall
Answer:
dα/dt = - 0,25 rad/sec
Step-by-step explanation:
The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α will be the angle between the ladder and the ground, then:
cos α = distance between the wall and the down end of the ladder (x) / length of the ladder
cos α = x/ L
- sin α * dα/dt = dx/dt * L /L²
- sin α * dα/dt = dx/dt /L
When the down end of the ladder is 8 ft apart from the wall
cos α = 8 / 10 = 0,8 then cos² α + sin²α = 1
sin² α = 1 - cos²α sin²α = 1 - (0.8)² sin²α = 0.36
sin α = 0.6
dα/dt = ?
dx/ dt = 3/2
L = 10 ft
x = 8 ft
By substitution
- 0.6*dα / dt = (3/2) / 10
dα/dt = - 1.5 / 6
dα/dt = - 0,25 rad/sec
(-) means the angle is decreasing
Monica is building a 4 ft sidewalk around her flower garden.
25 ft
4 ft
9 ft
4 ft
Find the area of the sidewalk.
Answer: 336 sq ft
Step-by-step explanation:
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
Answer:
25%
Step-by-step explanation:
25% us the answer. First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
What is the Domain and Range of f(t)?
Answer: Hm 1 second
Step-by-step explanation: 1 sec
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles
Answer:
one square, four triangles
Step-by-step explanation:
It's a pyramid, so there's only 1 base.
A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.
Stephen is taking a math test. There are 4 multiple choice questions, and each question has five possible answers. How many different
ways can Stephen complete the answer sheet?
Michelle bought a watch for $135. This price included a tax of 8%. Calculate the tax that was paid.
Answer:
The tax paid was $10.80
Step-by-step explanation:
135 time 0.08 is 10.8
Tax Paid: $10.80
Total Paid: $145.80
Answer:
145.8
Step-by-step explanation:
135x1.08=145.8
there are three questions I am giving 15 points
Aeg = 10 solve for g
Select all true statements:
Translating a segment can change the length.
Translating a polygon can change the angle measures.
Dilating a segment can change the length.
Dilating a polygon can change the angle measures.
A dilated line segment is parallel to its preimage.
Answer:
Step-by-step explanation:
Dilating a segment can change the length. TRUE
A dilated line segment is parallel to its preimage. TRUE
Dilation is a transformation that allows you to resize an object. The correct options are C and E.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.
Therefore, the statements that are true are,
Dilating a segment can change the length.A dilated line segment is parallel to its preimage.Hence, the correct options are C and E.
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hey what's the answer
show step by step explanation
if u don't know.u don't need to answer
Answer:
The 3rd one - I don't seem too sure with the answer, you know the 1st question's 2nd part, right?
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
√7+√3+√98-√18
write the answers in radical form
Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.
Step-by-step explanation:
Find the scope of the line renesented by the title, show all work
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in any two points; plug in (9,2) and (3,-2)
[tex]=\frac{-2-2}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
I hope this helps!
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
lo
2
3
si tohoto
Answer:
-3/4
Step-by-step explanation:
change them to improper fractions
-5/2 - (-7/4)
now multiply -5/2 by two so the denominators are the same
-10/4 - (-7/4)
subtracting a negative number is the same as adding a positive number
-10/4 + 7/4
= -3/4
What is the relationship between circle A and circle B? part j
Two ships leave a harbor at the same time. One ship travels on a bearing S14°W at 15 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far apart will the ships be after 3 hours?
Answer:
67.48 miles
Step-by-step explanation:
the angle between two ships =180°-75°+14°= 119°
the first ship travels for 15×3=45miles
the second ship trave 11×3=33miles
the distance between them after 3 hours=
√(45²+33³-2(45)(33)cos 119°)
=√(2025+1089+1440)
=√4554
= 67.48 miles
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
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Evaluate 150 – (2 + x) when x = 2.
The value of the expression is
The value of the expression is 86.
To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.
Value = 150 - (2 + x)³
Keep the value of x in the mentioned expression
Value = 150 - (2 + 2)³
Performing addition inside the bracket to find the value
Value = 150 - 4³
Taking cube on Right Hand Side of the equation
Value = 150 - 64
Performing subtraction to find the value of equation
Value = 86
Hence, the evaluation will give the result 86.
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To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answer:
2.8 miles
Step-by-step explanation:
From the attached sketch of the solution diagram, let x = distance of plane from runway :
The sketch gives a right angled triangle ; hence, we can apply trigonometry :
To obtain x :
Sin θ = opposite / hypotenus
Sin 5 = 1266 / x
0.0871557 * x = 1266
x = 1266 / 0.0871557
x = 14525.720 feets
Converting feets to mile :
1 mile = 5280 feets
14525.720 feets = 14525.720 / 5280
2.751 miles
To the nearest tenth of a mile ; 2.8 miles
Answer number 7 and 8 I will pick the right answer
Answer:
grrrr
Step-by-step explanation: