Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
The two angles are congruent. Find x
Granny needs to paint a Loge made using two right triangles the dimensions Of the loge are shown below what is the difference between the area of the large triangle in the area of a small triangle
Answer:
The difference is
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm; Height=9cm[/tex]
Small triangle
[tex]Base = 2cm; Height=6cm[/tex]
See attachment for logo
Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * base * height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
Answer:
Step-by-step explanation:
Base area * height
Answer:
i think that the answer is BH or Base area × Hight
The value of x is
and the value of y is
Answer:
Y = 50 degrees, X = 60 degrees
Step-by-step explanation:
Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.
Answer:
Step-by-step explanation:
Can anyone help me with this math equationv
Answer:
47/9
Step-by-step explanation:
5*9 = 45 +2 = 47
A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
3.)10/12=0.83% 12*0.83=10
%*whole
2. The volume of a cylinder is 95 cubic centimeters. Which equation
can be used to find h, the height of the cylinderę Circle the correct
answer.
Given:
The volume of a cylinder is 95 cubic centimetres.
To find:
The equation that can be used to find h, the height of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].
Now, volume of the cylinder is
[tex]V=Bh[/tex]
The volume of a cylinder is 95 cubic centimetres.
[tex]95=Bh[/tex]
[tex]\dfrac{95}{B}=h[/tex]
[tex]h=\dfrac{95}{B}[/tex]
Where B is the base area of the cylinder.
Therefore, the correct option is G.
Find the median of the data in the box plot below.
eggs
Number of eggs laid
+
0
2
4
6
8
10
12
Answer:
median is 6(sub2pewdiepie)
Step-by-step explanation:
An object has a mass of 180 kg and a volume of 6 m3.
Find the density of the object in kg/m3.
Answer:
30 kilogram/cubic meter
Step-by-step explanation:
Answer:
mass=180kg and the volume=6m³.
then the formula to find density is= mass/volume
using this formula,180kg/6m³=30kg/m³
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
I will give brainly to the first person
Answer:
Figure D is regular polygon.
Does 12,5,13 make a right triangle?
Answer:
YEs
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Yes, a right triangle can have side lengths 5, 12, and 13.
can i get brainleist plz
Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of more than 128 meters squared.
Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
Let f(x) =
= -x + 1 and find f(-4).
Select the correct response:
f(-4) = -7
of(-4) = 5
o f(-4) = -5
o f(-4)=7
Answer:
o f(-4)=7
Step-by-step explanation:
Sana makatulong:,-)
6: What is the volume of a cylinder
with a diameter of 10 feet and a
height of 8 feet? Use 3.14 for 1.
cubic feet
Answer: 628 cubic feet
Step-by-step explanation: First, find the area of the circle. Using the formula "TTr^2", you can find the area of the circle. Since the diameter is given, and not the radius, divide 10 by 2, and it gives you 5. Now, use the formula. 5 x 5 = 25, and then multiply it by 3.14 which gives you 78.5. Now that we have found the area of the circle, multiply the area by 8 to find the volume of the cylinder. 78.5 x 8 is 628 cubic feet, and that is the volume of the cylinder.
PLEASE HELP ME!!!!!!!!!!!!!!
Find the distance between a point (–3, 4) and a vertical line at x = 4. Question options: A) 8 B) –7 C) 1 D) 7
Lindsey purchased a random sample of 25 tomatoes at the farmers market. The 95% confidence interval
for the mean weight of the tomatoes is 90.6 to 112.4 grams.
What is the Point Estimate?
What is the Margin of error?
Answer:
3 & 5
Step-by-step explanation:
The value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Let's suppose m is a point estimate and ME is the margin of error.
The structure of the confidence interval is:
(m—ME, m + ME)
The given confidence interval is (90.6, 112.4)
Then, m—ME = 90.6 ..... (1)
m + ME = 112.4 ..... (2)
After solving equation (1) and (2) we get:
m = 101.5
ME = 10.9 grams
Thus, the value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ2
Express the distance 440,000,000 meters using scientific notation in meters and then in millimeters. The distance 440,000,000 meters is expressed as how many meters in scientific notation.
An airplane descends 1.6 miles to an elevation of 8.05 miles. Find the elevation of the plane before its descent.
Answer:
9.65 miles
Step-by-step explanation:
Given:
Final elevation = 8.05 miles
Change in elevation = 1.6 miles
Let Initial elevation which is the elevation before descent = x
Initial elevation - change in = final elevation
(-ve) sign because it was a descent
x - 1.6 = 8.05
x = 8.05 + 1.6
x = 9.65 miles
Hence, elevation before descent is 9.65 miles
Plot connect the points to make picture. Please
Answer:
that is what it would look like
Hope it helps!❤❤
Find x. Give your answer in
the simplest form.
Answer:
Step-by-step explanation:
We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.
Cos (45) = x/10
10 * Cos (45) = 10 * (√2 / 2)
This should equal to 5√2
Find the length of the unknown leg of the right triangle.
Answer:
Step-by-step explanation:
a² + b² = c²
side1² + side2² = hypotenuse² side 1 = 6.75 hypotenuse = 11.25
solve for side 2 = ???
side2² = hypotenuse² - side1²
side2 = [tex]\sqrt{hypotenuse^2 - side1^2}[/tex]
= √(11.25² - 6.75²)
= √(126.56 - 45.56)
= √(81)
side 2 = 9
plz hurry, i will give brainliest
Answer:
The answer is " x = - 1 "
Step-by-step explanation:
[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180
^ The you solve the equation
t = 11, t = - 1
^ and then verify the solution
t = - 11 ( False ), t = -1 ( True )
Answer = t = -1
a first number plus twice a second number is 8 twice the first number plus the second totals 25
Answer:
The first number is 14
The second number is -3
Step-by-step explanation:
x + 2y = 8
2x + y = 25
Solving simultaneously,
2x + 4y = 16
2x + y = 25
On subtracting, we have
3y = -9
y = -3
Going to substitute for y, we have
x + 2(-3) = 8
x - 6 = 8
x = 14
It is 2.3 from Debra's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
What is the slope of the line that
passes through these two points?
(-1, 4)
(2, 2)
slope
[?
Answer:
-2/3
Step-by-step explanation:
2-4 / 2-(-1)
2-4 / 2+1
-2/3
what is the volume of the bench in cub feet?
Split it into two rectangles:
6 x 2 x 2 = 24
3 x 2 x 2 = 12
Now add:
24 + 23 = 36 cubic feet
Help please i need it thanks.
Answer:
x is less than or equal to 7
Step-by-step explanation:
can someone help me with this?
Answer:
12.1 cm
Step-by-step explanation:
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answer:
Ratio (r) = 2
n = 7
Step-by-step explanation:
The formula for the sum of the nth term of a G.P is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
The sum of the reciprocal is 127/64
The formula is inverted , hence:
Sn = 1/a(1-r^n)/(1-r)
127/64 = r^(1-n)(1-r^n)/(1-r)
Hence:
1/64 = r^(1-n)
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r = 2
n = 7
HELP NEEDED ASAP HELP ME PLZ
Answer:
3
Step-by-step explanation:
105/7hrs
15/1hr
15/60min
0.25/per minute
0.25*12
= 3