Answer:
y = 4x - 18
Step-by-step explanation:
Write out y = mx + b.
The slope of the line in question is 4. Thus we have y = 4x + b.
Finally, substitute -6 for y, 3 for x and solve for b:
-6 = 4(3) + b, or -6 = 12 + b. Then b = -18, and the equation of this line is
y = 4x - 18
Answer:
18
Step-by-step explanation:
y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.
I need explanation and help me plz !!!!
Answer:
52
Step-by-step explanation:
There are a total of 380+240+110 people. (730)
0.52 are in stage 3.
0.33 in stage 2.
0.15 in stage 1.
52 people from stage 3 should be in the group.
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar
Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5
250 * 4/5 = 200 grams
1.2* 4/5 = 0.96 liters
90* 4/5 = 72 grams
a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path.
Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
Look at picture, please help
Answer:
x = 32
Step-by-step explanation:
Three angles have been shown in the figure which are located at a point of a straight line.
By the property of angles on a straight line,
Sum of the angles shown = 180°
(3x - 20)° + 30°+ (2x + 10)° = 180°
(3x + 2x) + ( -20 + 30 + 10) = 180
5x + 20 = 180
5x = 180 - 20
5x = 160
x = [tex]\frac{160}{5}[/tex]
x = 32
Therefore, x = 32 will be the answer.
Answer:
[tex]x = 32 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line =180°
[tex]3x - 20 + 30 + 2x + 10 = 180 \\ 5x + 20 = 180 \\ 5 x = 180 - 20 \\ 5x = 160 \\ \frac{5x}{5} = \frac{160}{5} \\ x = 32[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Given the sinusoidal function, g(x) =3[sin 2(x – 90°)]-1
Sketch g(x), using transformations of y = sinx, for two cycles
using either a transformation table or graphs.
Answer:
twetwe. eet wvjhcjh
Step-by-step explanation:
wetwetwet wte ucytc
If the function f(x) = |x + 5| is transformed to g(x) = –|x + 5|, which type of transformation is seen in the graph?
Answer:
You would see the graph reflected over the x axis
Step-by-step explanation:
when there is a negative in front of the equation and not in the absolute value bars then it is a reflection over the x-axis...If there is a negative in front of the x in the absolute value bars then it is a reflection over the y-axis
Is (-4, 2) a solution of 3y - 2x = 14?
Answer: I don’t know if this will help, but I do know that the function for that equation is -7
Step-by-step explanation:
A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *
Answer: The length is 18 feet.
Step-by-step explanation:
4 * 9 * l = 648 where l is the length in feet.
36 * l = 648
36l = 648
l = 18
Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer.
Answer:
[tex]y - 5 = -4(x-5)[/tex]
Step-by-step explanation:
Given
Line coordinates: (5,5)
Perpendicular slope = [tex]\frac{1}{4}[/tex]
Required
Find the point slope form of the line
First, the slope of the line has t be calculated;
Given that two lines are perpendicular;
The relationship between there slopes is given as [tex]m_1.m_2 = -1[/tex]
Let m_2 represent the slope of the second line;
such that [tex]m_2 = \frac{1}{4}[/tex]
So;
[tex]m_1 * \frac{1}{4} = -1[/tex]
Multiply both sides by 4
[tex]m_1 * \frac{1}{4} * 4 = -1 * 4[/tex]
[tex]m_1 = -1 * 4[/tex]
[tex]m_1 = -4[/tex]
Now, the equation of the line can be calculated using slope formula;
[tex]m = \frac{y - y_1}{x- x_1}[/tex]
Where
[tex](x_1,y_1) = (5,5)\\m_1 =m = -4[/tex]
So; [tex]m = \frac{y - y_1}{x- x_1}[/tex] becomes
[tex]-4 = \frac{y - 5}{x- 5}[/tex]
Multiply both sides by x - 5
[tex]-4(x-5) = \frac{y - 5}{x- 5} * (x-5)[/tex]
[tex]-4(x-5) = y - 5[/tex]
Reorder
[tex]y - 5 = -4(x-5)[/tex]
Hence, the line in point-slope form is [tex]y - 5 = -4(x-5)[/tex]
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
I need help,please as fast as possible
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Complete Question:
The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Answer:
14.7 square units
Step-by-step Explanation:
Given the triangle shown in the figure attached below, having the following measures:
<YXZ = 102°
Length of XY = z = 3
Length of YZ = x = 11
Length of XZ = y = ?
Perimeter of ∆XYZ = x+y+z = 24 units
Length XZ = y, would be 11+y+3 = 24
14+y = 24
y = 24 - 14
Therefore, y = 10
==>Required:
Area of ∆XYZ to the nearest tenth of a square unit
==>Solution:
Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X
Plug in values for x, y, and sin X:
Area of ∆ XYZ = ½×10×3×sin 102
= ½×30×0.9782
= 15 × 0.9782
= 14.673
Area of triangle XYZ approximated to the nearest tenth = 14.7 square units
The measures of is c.
Answer:
10
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hope this helps!
I don’t understand, what’s the answer and why?
The value of b when solving the equation 2 (6 + 12) = 16 is:
Answer:
Step-by-step explanation:
2(6+12)=16
2 X 6 + 2 X 12
12 + 24
26 = 16
HOPE U GE5T IT
£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer:
Step-by-step explanation:
I need assistance :D, Instructions: Using the image, find the distance between the points given on the graph.
Answer:
Step-by-step explanation:
You have to use the distance formula to find that distance. The formula is:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:
[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]
which simplifies to
[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is
[tex]d=\sqrt{17}[/tex] ≈ 4.123 units
Find the slope of the line that passes through (4, 18) and (7, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -8/3
please see the attached picture for full solution
hope it helps
Answer:
[tex]slope = \frac{8}{ - 3} [/tex]
Step-by-step explanation:
[tex](4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the value of cos(150°)?
OF
22
-
V3
2.
1500
30
-
Answer:
[tex]cos(150^o)=-\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Recall that the value of the cosine of an angle in the unit circle is the horizontal value (x-coordinate) read-out for the point on the circle's circumference that represents the given angle.
in this case, notice that [tex]150^o[/tex] corresponds to an angle in the second quadrant, and the actual coordinate values for it are given to you. therefore, use the value you read for the x-coordinate: [tex]-\frac{\sqrt{3} }{2}[/tex]
Can someone please help me
Answer:
SSS
Step-by-step explanation:
3 sides are similar, so the triangles are similar.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
what is an inverse statement
Answer:
1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc
2 | noun | a fact or assertion offered as evidence that something is true
3 | noun | (music) the presentation of a musical theme
4 | noun | a nonverbal message
5 | noun | the act of affirming or asserting or stating something
6 | noun | (computer science) a line of code written as part of a computer program
7 | noun | a document showing credits and debits
(7 meanings)
What is one value that is a solution t
o 4x+ .8>3.2 b
ut not -6 <-5x - 1
Answer:
x = 0.8
Step-by-step explanation:
What this question asks us is that what value of x solves the first inequality but does not work for the second
Let’s solve the first inequality;
4x > 3.2-0.8
4x > 2.4
x > 2.4/4
x > 0.6
Now all values of x which is greater than 0.6 is a solution to the first inequality
Now to the second, we have;
-6 > -5x -1
Using the range of values from the first inequality;
if we say x = 0.8
Then
-6 > -5(0.8) -1
-6 > -4-1
-6 > -5
But this is not right in the real sense as actually
-5 > -6
So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second
Please help me I’m stuck with this question someone help me please
Wendy and her friend Sandra went to dinner. Their total food bill was $25.00. The tax was 7%. How much was the tax? How much was the bill including the tax?
Answer:
the answer is 175
Step-by-step explanation:
you will do 2500*7/100
What is another name for ∠EBC?
Answer:
Number 4
Step-by-step explanation:
Angle CBE is the same thing as angle EBC. The only thing that matters when you're talking about ONE angle is the middle letter.
Answer:
It is number four: ∠CBE
What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units
Answer: 4 units
Step-by-step explanation:
The side that is opposite of B would be the side that is across from B
3 is across from A
5 is across from C
4 is across from B
The question is an illustration of right triangles
The length of the side opposite angle B is 4 units
From the figure, we can see that the triangle is a right triangle, with the following angles
Angle B
Angle A
Angle C
The triangle is right-angled at angle C.
From the figure, the length opposite angle B is length AC.
Where
AC = 4
Hence, the length of the side opposite angle B is 4 units
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?
Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
A teenager's heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
How to solve this:
1: 7200/24 = x/1
2: 7200/24 = 300/1
3: 300 L of blood per hour
We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1
Second step is the same 7200 divided by 24 = 300/1
So the correct answer is 300. 300 L of blood per hour.
Answer: 300 L of blood per hour.
Please mark me brainliest.
Hope this helps.
The rate of change in the volume of blood is 300 liters per hour.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.
Rate of change of volume of blood = volume of blood/time
= 7200 L /24
Apply the division operation, and we get
= 300 L/hour
The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.
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