Step-by-step explanation:
you can let
x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)then connect this 2 points
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
Learn more about angle here:
https://brainly.com/question/28451077
#SPJ2
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Answer:
1 golf ball : $2.50
Step-by-step explanation:
You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.
if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation
Answer:
none of them bc they're all bad kids
Step-by-step explanation:
Multiply
-4/5 • 3
Write your answer in simplest form.
Answer:
[tex]-2\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across
[tex]\frac{-12}{5}[/tex] turn into mixed number
[tex]-2\frac{2}{5}[/tex]
h(8) = -2(8)^2 + 4(8)- 7
Answer:
h = - 103/8
Step-by-step explanation:
1) Re-order terms so constants are on the left
8h = = -2(8)²+4(8)-7
2) Evaluate the exponent
8h = -2·64+4(8)-7
3) Multiply the numbers
8h = -128+4(8)-7
4) Multiply the numbers
8h = -128+32-7
5) Add the numbers
8h = -103
6) Divide both sides of the equation by the same term
8h/8 = -103/8
7) Simplify
- Cancel terms that are in both the numerator and denominator
h = -103/8
Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)
Answer:
V≈471.4cm³
Step-by-step explanation:
V =
[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]
V= 471.4
Answer:
Solution :Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.
[tex] \rule{300}{1.5}[/tex]
As we know that the formula of volume of octahedron is :
[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
Substituting all the given values in the formula to find the volume of regular octahedron :
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of regular octahedron is 471.404 cm³.
[tex] \rule{300}{1.5}[/tex]
If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now
Answer:
13. 70(two digits 7 times 10 which is a multiple of 5)
Hope This Helps!!!
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute it takes him to complete the drawing.Write an equation to match the situation.
Answer:
2x+5
Step-by-step explanation:
Equation y = 3x + 5 correctly represents the situation.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.
Let x be the number of each extra minutes.
And y be the total fees.
So, the equation;
The total fee = Charges of x minutes + initial fee.
y = 3x + 5
Therefore, the equation is y = 3x + 5.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ5
Fill in the missing numbers. 9.223 x ______ = 922.3 0.09223 x _______ = 9.223 92.23 x ______ = 922.3
Answer:
1. 100
2. 10000
3. 10
Simplify
4^33 8^37
—————-
4^15 8^21
A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16
Answer:
A
Step-by-step explanation:
Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!
(x + a)^2 + b form can be achieved by a method known as completing the square.
Step 1: Divide the b term by 2 and square it
8 / 2 = 4
4^2 = 16
Step 2: Add and subtract 16 from the expression
---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.
x^2 + 8x + 16 + 14 - 16
x^2 + 8x + 16 - 2
Step 3: Factor the perfect square trinomial
(x^2 + 8x + 16) - 2
(x + 4)(x + 4) - 2
(x + 4)^2 - 2
Answer: (x + 4)^2 - 2
Hope this helps! :)
write the equation of the line given the two points. (4,-3) and (3,1)
Answer:
y=-4x+13
Step-by-step explanation:
y=mx+b
slope =
1--3/3-4
4/-1
-4/1
y-1=-4(x-3)
y-1=-4x+12
y=-4x+13
Answer:
[tex]y = -4x + 13[/tex]
Step-by-step explanation:
First, find the slope (denoted by the variable, m). Use the following equation:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]
Use the slope-intercept form. The slope-intercept form is:
[tex]y = mx + b[/tex]
Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:
[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]
Plug in the slope (m) and the y-intercept (b) to get your equation:
[tex]y = -4x + 13[/tex]
~
Can someone plz help Me?
the answer to your question is B. A 5-minute reduction in the time to run a race
Answer: B
Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness
HAVE A WONDERFUL DAY!
Please help me solve this! Very urgent :(
Answer:
last one
Step-by-step explanation:
The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?
Answer:
So 9 months is 273 days and 394200 minutes so if the butterfly spends 30 days means one month so it is 43800 minutes old .
hope it gonna help you.
Step-by-step explanation:
HELP please guys ................
Answer:
2nd choice
Step-by-step explanation:
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
?
Complete the following equation for a line passing through point C and perpendicular AB.?
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597
#SPJ3
Which of the following functions is graphed below?
Answer:
D is the correct answer
Step-by-step explanation:
I WILL GIVE BRAINLYEST PLZ ANSWER ASAP!!!!!!!!
Question 10 (Fill-In-The-Blank Worth 1 points)
(01.05 LC)
Divide 5 over 6 ÷ 1 over 12 = ____.
Answer for Blank 1:
Answer:
5/72
Step-by-step explanation:
this is the answer hope it helps
Answer:
correct answer is 10
Step-by-step explanation:
5/6÷1/12
5/6×12/1
5×2
=10
Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.
Answer:
Your answer would be y= -x + 5
Step-by-step explanation:
Hope I helped!
Answer:
-x+5
Step-by-step explanation:
khan told me ;p
create an equivalent ratio to 20:24 by dividing both sides by 4
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
Can someone please help me with this one? Tysm! ^^
The function after synthetic division f(x) = 4x3 + 3x2 − 16x − 12
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
»ANSWER«
(1) Write properties of function:
x intercept/zero:
[tex] x_{1} = \frac{3}{4} [/tex]
y intercept:
[tex]y = - 12[/tex]
domain:
[tex]( - \infty \: \infty )[/tex]
type of function: cubic fraction
standard form:
[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]
factorize form:
[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]
even/odd/neither: neither
bounce/cross x axis:
[tex]x = \frac{3}{4} \: across[/tex]
increasing interval:
[tex]( - \infty \: \infty )[/tex]
decreasing interval: no
number of positive real zeros: 1
number of possible turning point: 2
order/degree: 3
leading term:
[tex]4x ^{3} [/tex]
leading coefficent: 4
constant term: -12
end behavior:
[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]
#CarryOnLearning
thissssssssssssssssssssssssssssssssssssssss
Answer:
w represents
Step-by-step explanation:
up 2 is the y coordinates
-6 < x - 4 < 2 solve
Answer:
- 2 < x < 6
Step-by-step explanation:
- 6 < x - 4 < 2 ( add 4 to each interval )
- 2 < x < 6
what is 72=2x+16x
please please helppppp meeee
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
−3.6−1.9t+1.2+5.1t ////////////////////////////////////////////////////////////
Answer:
3.2t -2.4
Step-by-step explanation:
Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)
Need help ppl keep givin me links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Time Height
(seconds) (feet)
5
1150
10
1090
15
1030
20
970
25
910
at air balloon's initial rate of change (slope).
Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
Skills needed: Linear Equations, Substitution and Division
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
The slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] --> [tex]y_1[/tex], [tex]y_2[/tex], [tex]x_1[/tex], and [tex]x_2[/tex] are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]
[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.
==================================================================
1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.