Answer:
Step-by-step explanation:
equation of a line
y=mx+b
y=0*x+b
y=0+b
y-0=b
since the line passes through the point (-7,4) it satisfies the equation
4-0=b
4=b
substituting the value of b in
y-0=b
y-0=4 is the required equation.
i need to gina the length of the side
Answer:
15
Step-by-step explanation:
9 squared + 12 squared = x squared
81 + 144 = x
81 + 144 = 225
the sqaure root of 225 = 15
An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
Which best describes the number
71
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
Please please help please
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.
The length of the hypotenuse in a right triangle is 12 inches.
What is the Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.
Let the length of the hypotenuse be x.
Here, x²=8²+9²
x²=64+81
x²=145
x=√145
x=12.04
x≈12 inches
Therefore, the length of the hypotenuse is 12 inches.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ6
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answer:
and the question is? I'm confused
need help in this question
Answer:
B) 9
Step-by-step explanation:
110 + 75 + 11x - 9 + 8x + 13 = 360
19x + 189 = 360
19x (+ 189 - 189) = 360 - 189
19x = 171
19x/19 = 171/19
x = 9
what is the smallest angle of this triangle
17,26,29
Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
This is the transitive property :)
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
Find the value of x
Answer:
use Pisagorth theormi
23²=18²+x²
x²=23²-18²
23²=529
18²=324
x²=205
so the x =√205
its nearly equal 14.3.....
A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
What is the area, in square units, of the shaded region? (nearest tenths place)
Answer:
169.6
Step-by-step explanation:
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
what is the value of -35•(5/7)?
Answer:
[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
question in picture,
find all angles that satisfy the equation below.
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
Which equation is equivalent to -4(y-2)=12?
1. -4(y-2)=3
2. -4(y-2)=-3
3. y-2=12
4. y-2=3
5. y-2=-3
Please I’ll mark you brainliest if you answer
Answer:
–4(y–2)=12
y–2=12/–4
y–2=–3
The choose (5)
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
Help!!! Whats x ive been struggling
Answer:
x = 2
Step-by-step explanation:
GIVEN :-
KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 unitsTO FIND :-
The value of xSOLUTION :-
To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-
[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]
[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]
Cross multiply the denominators.[tex]=> 3(x + 6) = 12 \times x[/tex]
[tex]=> 3x + 18 = 12x[/tex]
Substract both the sides from 3.[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]
[tex]=> 9x = 18[/tex]
Divide both the sides by 9[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]
[tex]=> x = 2[/tex]
can someone please help with this and kinda explain this to me again please
Answer:
3rd Option;
x = 4
y = 116
Step-by-step explanation:
Let's start by solving for "x" first:
=> We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:
Side 1 = It's opposite side
=> 16 = 3x + 4
=> 16 - 4 = 3x
=> 12 = 3x
=> 12/3 = x
=> 4 = x
Now that we know x, let's find the y-value;
=> We know that opposite angles in a parallelogram are congruent, therefore we can say;
Angle 1 = It's opposite angle
=> 56 = y - 60
=> 56 + 60 = y
=> 116 = y
Hope this helps!
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answer:$450 i think?
Step-by-step explanation:
Describe the transformation