Answer:
[tex]y = \frac{2}{3} x - 8[/tex]
f(0)=-8
Step-by-step explanation:
Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m
y=m*x+q
-4=(2/3)*(6)+q
q=-8
f(0)=(2/3)*(0)-8=-8
Find the value please!!!
the answer is in the picture
if 2/a=1/b-1/d find an expression for d in terms of a and b
Answer:
Step-by-step explanation:
2/a = 1/b - 1/d
2d/a = d/b - 1
2d/a - d/b = -1
d(2/a - 1/b) = -1
d(2b-a)/(ab) = -1
d(a-2b)/(ab) = 1
d = ab/(a-2b)
Amanda is playing her new video game, Track Runner. At first, she earned 20 points for winning a sprint. Then in the next race, she got – 25 points when she knocked over most of her hurdles. What is Amanda's total score now? To solve the problem, Amy added 20+( – 25) and came up with an answer of 5 points. Is Amy correct? Why or why not?
Answer: Amy is incorrect. The answer is -5 points.
Step-by-step explanation:
From the question, we are informed that Amanda earned 20 points for winning a sprint in the first race but got -25 points in the second race.
Based on the information above, Amanda's total score now will be:
= 20 + (-25)
= 20 - 25
= -5
The answer is -5 points.
Amy is wrong because (+) × (-) = (-)
A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?
Answer: a good amount
Step-by-step explanation:
because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry
Somebody please help me! Very confused, the help is very much appreciated!
Answer:
18
Step-by-step explanation:
Because the diagonals in a parallelogram bisect each other, RS = SP = 18
BRAINLIEST PLEASEEEEE
Drag the tiles to the correct boxes to complete the pairs.Match each function to its domain
Answer:
f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5
Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.
f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8
Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).
f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0
Explanation: Again, you can't square root negative numbers.
f(x) = 8x : All real numbers
Not much to explain for this one, any real number makes this equation true.
If f(x) = 6x - 4. what is f(x) when x = 8?
Answer:
44
Step-by-step explanation:
* means multiply
put 8 where the x is
6 * 8 - 4
48 - 4
44
Pes
Refer to the figure below to answer the following questions.
2 ft
4 ft
Find the surface area. Round to the nearest tenth.
75.4 ft2
50.3ft2
62.8 ft2
0 25.1 ft2
Answer:
75.4
Step-by-step explanation:
75.4area of cylinder is 2pie r h plus 2 pie * 2^2
Subtract
[tex] - 3[/tex]
[tex] - {2y}^{3} [/tex]
[tex] - y[/tex]
[tex] - {5y}^{2} [/tex]
from
[tex] - {2y}^{3} [/tex]
[tex] + 4[/tex]
Answer:
Step-by-step explanation:
-2y³ + 4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²
= -2y³ + 2y³ +5y² + y + 4 + 3 {combine like terms}
= 5y² +y + 7
PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS
Answer:
$29.69
Step-by-step explanation:
23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)
25.872 * 0.1475 = $3.81612 is the sales tax.
Total is 25.872 + 3.81612 ~ $29.69
One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs of the triangle.
Answer: 21, 28
Step-by-step explanation:
Side #1 = xSide #2 = x + 7Hypotenuse = 35Use the Pythagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]:
a = xb = x + 7c = 35Substitute in the values & solve:
[tex]x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21[/tex]
-28 is not a possible solution since you can't have negative inches...
a = x = 21b = x + 7 = 21 + 7 = 28c = 35PLEASE ANSWER ASAAPPPPPPPP
Answer:
3
Step-by-step explanation:
Can somebody help me
Log problem below in the picture
Your answer is 2.98004491789381.
A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet
Answer:
1344.
Step-by-step explanation :
.
The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A jet travels 832 km in 5 hours.
Then the speed of the jet will be
Speed = 832 / 5
Speed = 166.4 km per hours
If the jet fly for 12 hours, then the distance cover will be
Distance = Speed x Time
Distance = 166.4 x 12
Distance = 1996.8 km
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
Question 4 of 10
Which describes the graph of y=-(x - 3)^2 + 2?
O A. Vertex at (-3,2)
O B. Vertex at (3,-2)
C. Vertex at (3,2)
O D. Vertex at (-3,-2)
Answer:Vertex at (3, -2)
Step-by-step explanation:
Find the missing side or angle. Round to the nearest tenth. C=95° a=5 c=6 A=[?]°
Answer:
Missing angle A = 56.1° (approximately)
Step-by-step explanation:
<A = arcsin(a×sin(C)/c)
= arcsin(5×sin 95/6)
= 56.1154084° ≈ 56.1°
Answered by GAUTHMATH
A tower is 543m from your house. The angle of elevation to the top of the tower is 33.4°. How high is the tower?
Answer:
358
Step-by-step explanation:
the step by step is in the photo so look at it
find the area of the rhombus. pic included, thank you
Answer:
80in 2
Step-by-step explanation:
Answer:
a=(d1×d2)÷2
(20×12)÷2
240/2
120
Find the missing angle measures.
Answer:
<ABD = 42 degrees
<ABC = 84 degrees
Step-by-step explanation:
<ABC = 42 + 42 = 84
Please help. I don’t understand I rlly appreciate it if you help!
Hi there!
We know that the angles ∠B and ∠A are supplementary because they are both interior angles. Therefore:
180 = ∠A + ∠B
Rewrite:
180 = (6x - 48) + (4x + 38)
Combine like terms:
180 = 10x - 10
Solve for x:
190 = 10x
x = 19
Solve for ∠B by plugging in this value of x:
∠B = 4(19) + 38
∠B = 76 + 38
∠B = 114
help.........................
Answer:
solution
here,
Step-by-step explanation:
f={(2,1/2), ( 3, 1/3) , (4, 1/4)}
Range = { / (\ frac 12\) , \ (\ frac 13\) ,
\( \ frac 14\ )}
Inverse function ( f-^1 ) = {( 1/2, 2) ,( 1/3 ,3) , 1/4, 4 )} is the required answer
Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?
Answers:
y intercept = -4
slope = -1
==========================================
Explanation:
The given equation is the same as y = -1x + (-4)
Compare this to y = mx+b form, and we see that
m = -1 is the slope
b = -4 is the y intercept
To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.
Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 = -1/1.
Complete the equation: 2^2 – 14x + __ = (_)^2
A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7
Find all solutions to the equation.
cos x = sin x (6 points)
Answer:
Step-by-step explanation:
cos x=sinx
divide by cos x
1=tan x
tan x=1
[tex]tan x=1=tan \frac{\pi }{4}=tan (n\pi +\frac{\pi }{4})\\x=n\pi +\frac{\pi }{4} ,\\where~n~is~an~integer.[/tex]
what do you understand by socialization
Find each measure
Please help me
Answer:
11. 90
12. 90
13. 90
14. 90
15. 180
16. 135
17. 225
18. 270
Step-by-step explanation:
Answer:
BC=90
AC=90
AE=90
EB=90
ACB=180
AD=135
CBF=225
ADC=270
Step-by-step explanation:
for numbers 11-14 they're all linear pairs which means they're each 90 degrees
and as long as O is the center point, all the arcs are the same value as the degree.
for numbers 16-17 you can assume that line FO and DO bisects the right angles which makes them 45 degrees
and for 18, you just multiply 3 and 90 degrees
Can you please tell me the answer step by step??
Answer:
a)4
Step-by-step explanation:
(a+b)²=43 eqn 1
(a²+b²)=35 eqn 2
solving eqn 2 by putting the value of (a+b)² by eqn 1
(a+b)²-2ab=3543-2ab=35-2ab=35-43ab= -8/-2ab =4hope it helps
stay safe healthy and happy.Let N be the smallest positive integer whose sum of its digits is 2021. What is the sum of the digits of N + 2021?
Answer:
[tex]10[/tex].
Step-by-step explanation:
See below for a proof of why all but the first digit of this [tex]N[/tex] must be "[tex]9[/tex]".
Taking that lemma as a fact, assume that there are [tex]x[/tex] digits in [tex]N[/tex] after the first digit, [tex]\text{A}[/tex]:
[tex]N = \overline{\text{A} \, \underbrace{9 \cdots 9}_{\text{$x$ digits}}}[/tex], where [tex]x[/tex] is a positive integer.
Sum of these digits:
[tex]\text{A} + 9\, x= 2021[/tex].
Since [tex]\text{A}[/tex] is a digit, it must be an integer between [tex]0[/tex] and [tex]9[/tex]. The only possible value that would ensure [tex]\text{A} + 9\, x= 2021[/tex] is [tex]\text{A} = 5[/tex] and [tex]x = 224[/tex].
Therefore:
[tex]N = \overline{5 \, \underbrace{9 \cdots 9}_{\text{$224$ digits}}}[/tex].
[tex]N + 1 = \overline{6 \, \underbrace{000 \cdots 000000}_{\text{$224$ digits}}}[/tex].
[tex]N + 2021 = 2020 + (N + 1) = \overline{6 \, \underbrace{000 \cdots 002020}_{\text{$224$ digits}}}[/tex].
Hence, the sum of the digits of [tex](N + 2021)[/tex] would be [tex]6 + 2 + 2 = 10[/tex].
Lemma: all digits of this [tex]N[/tex] other than the first digit must be "[tex]9[/tex]".
Proof:
The question assumes that [tex]N\![/tex] is the smallest positive integer whose sum of digits is [tex]2021[/tex]. Assume by contradiction that the claim is not true, such that at least one of the non-leading digits of [tex]N[/tex] is not "[tex]9[/tex]".
For example: [tex]N = \overline{(\text{A})\cdots (\text{P})(\text{B}) \cdots (\text{C})}[/tex], where [tex]\text{A}[/tex], [tex]\text{P}[/tex], [tex]\text{B}[/tex], and [tex]\text{C}[/tex] are digits. (It is easy to show that [tex]N[/tex] contains at least [tex]5[/tex] digits.) Assume that [tex]\text{B} \![/tex] is one of the non-leading non-"[tex]9[/tex]" digits.
Either of the following must be true:
[tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex] is a "[tex]0[/tex]", or[tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex] is not a "[tex]0[/tex]".If [tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex], is a "[tex]0[/tex]", then let [tex]N^{\prime}[/tex] be [tex]N[/tex] with that "[tex]0\![/tex]" digit deleted: [tex]N^{\prime} :=\overline{(\text{A})\cdots (\text{B}) \cdots (\text{C})}[/tex].
The digits of [tex]N^{\prime}[/tex] would still add up to [tex]2021[/tex]:
[tex]\begin{aligned}& \text{A} + \cdots + \text{B} + \cdots + \text{C} \\ &= \text{A} + \cdots + 0 + \text{B} + \cdots + \text{C} \\ &= \text{A} + \cdots + \text{P} + \text{B} + \cdots + \text{C} \\ &= 2021\end{aligned}[/tex].
However, with one fewer digit, [tex]N^{\prime} < N[/tex]. This observation would contradict the assumption that [tex]N\![/tex] is the smallest positive integer whose digits add up to [tex]2021\![/tex].
On the other hand, if [tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex], is not "[tex]0[/tex]", then [tex](\text{P} - 1)[/tex] would still be a digit.
Since [tex]\text{B}[/tex] is not the digit [tex]9[/tex], [tex](\text{B} + 1)[/tex] would also be a digit.
let [tex]N^{\prime}[/tex] be [tex]N[/tex] with digit [tex]\text{P}[/tex] replaced with [tex](\text{P} - 1)[/tex], and [tex]\text{B}[/tex] replaced with [tex](\text{B} + 1)[/tex]: [tex]N^{\prime} :=\overline{(\text{A})\cdots (\text{P}-1) \, (\text{B} + 1) \cdots (\text{C})}[/tex].
The digits of [tex]N^{\prime}[/tex] would still add up to [tex]2021[/tex]:
[tex]\begin{aligned}& \text{A} + \cdots + (\text{P} - 1) + (\text{B} + 1) + \cdots + \text{C} \\ &= \text{A} + \cdots + \text{P} + \text{B} + \cdots + \text{C} \\ &= 2021\end{aligned}[/tex].
However, with a smaller digit in place of [tex]\text{P}[/tex], [tex]N^{\prime} < N[/tex]. This observation would also contradict the assumption that [tex]N\![/tex] is the smallest positive integer whose digits add up to [tex]2021\![/tex].
Either way, there would be a contradiction. Hence, the claim is verified: all digits of this [tex]N[/tex] other than the first digit must be "[tex]9[/tex]".
Therefore, [tex]N[/tex] would be in the form: [tex]N = \overline{\text{A} \, \underbrace{9 \cdots 9}_{\text{many digits}}}[/tex], where [tex]\text{A}[/tex], the leading digit, could also be [tex]9[/tex].
Help me solve for X I forgot how to this
Step-by-step explanation:
hope it helps you.........
Answer:
[tex]here \: is \: your \: solution : - \\ \\ here \: is \: a \: right \: traingle \: with \\ \\ base \: = 52 \: units \\ \\ hypotenuse \: = 65 \: units \\ \\ perpendicular \: = {?} \\ \\ we \: need \: to \: find \: perpendicular \\ \\ by \: using \: pythagorus \: theorem : - \\ \\ perpendicular ^{2} \: = base ^{2} + perpendicular ^{2} \: \\ \\ perpendicular^{2} \: = 65 {}^{2} - 52 {}^{2} \\ \\ perpendicular {}^{2} = (4225 - 2704) \\ \\ perpendicular {}^{2} = 1521 \\ \\ perpendicular = \sqrt{1521} \\ \\ perpendicular = 39 \: units \: \\ \\ hope \: it \: helps \: you \: [/tex]