Answer:
(0, 1)
Step-by-step explanation:
First, we need to make y the subject of the formula from both expressions
For 4x+8y=5
8y = 5- 4x
y = (5-4x)/5
Similarly for x-3y= -3
-3y = -3 - x
3y = x+3
y = (x+3)/3
Since both lines intersects, hence;
(5-4x)/5 = (x+3)/3
Cross multiply
5(x+3) = 3(5-4x)
5x + 15 = 15 - 12x
5x + 12x = 15 - 15
17x = 0
x = 0/17
x = 0
Sustitute x = 0 into any of the equations
Given that y = x+3/3
y = 0+3/3
y = 3/3
y = 1
This shows that the lines intesects at (0, 1)
(03.02 LC)
Which of the following is a function equivalent to f(x)=3(1.7)^4x (4 points)
Answer:
b. 3(8.35) ^x
Step-by-step explanation:
3(1.7) ^4x = 3 • [(1.7)⁴]^x
= 3 (8.35) ^x
Is every prime number a natural number?
Answer:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Hope that answered your question.
write a cosine function that has a midline of 5 an amplitude of 2 and a period of 5/2
Answer:
Uuy
Step-by-step explanation:
please help me with homework or i will get yelled by my teachers lolz
Answer:
the answer to this is 7.
Step-by-step explanation:
7+3=10.
what is meant ratation of the earth and draw
Answer:
Earth's Rotation
Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.
What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?
Answer:
30 cubic feet
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Height of cone (h) = 10 feet
Base surface area = π[tex]r^{2}[/tex] = 9 sq. feet
So we can calculate the volume of cone by using following formula,
volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
Volume of cone = (1/3) 9 × 10
= 3 × 10
= 30 cubic feet
Write the equation of a line that passes through the point m(2,3) and has slope 1/2.
Answer:
Step-by-step explanation:
[tex]Equation \ of \ a \ line, (y-y_1)=slope(x-x_1)[/tex]
[tex](x_1, y_1) = (2,3)[/tex]
[tex]y-3=\frac{1}{2}(x-2)\\\\y -3= \frac{1}{2}x-1\\\\y = \frac{1}{2}x-1+3\\\\y = \frac{1}{2}x+2[/tex]
There is a box with red and green apples there are 60 apples in total determine the number of green apples if 40% of the apple are red
Answer:
36 green apples
Step-by-step explanation:
Number of red apples = percentage of red apples x total number of apples in the box
percentage of red apples = 100 - 40 = 60%
0.6 x 60 = 36
Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units
up is triangle ABC congruent to triangle ABC?
Answer:
yes the triangle is congruent, because you did not use any transformations you on used translations.
but if you used transformations it would be similar not congruent
A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?
Answer:
D. y=70x
Step-by-step explanation:
The cheetah was clocked running 70 miles per hour.
i.e. in 1 hour cheetah covered 70 miles
in 2 hours cheetah covered 140 miles
in 3 hours cheetah covered 210 miles
in general, in n hour cheetah covered 70n miles
If y denote the distance covered
and x denotes the time cheetah runs
Then, y=70x
Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:
D y=70x
Six less than the product of a number n and
1
is no more than 97.
Answer:
n ≤103
Step-by-step explanation:
The product of a number n and 1 is expressed as n
Six less than the number is n - 6
If the result is no more than 97, then;
n - 6 ≤ 97
n ≤ 97 + 6
n ≤103
Hence the value of n is no more than 103
solve for x with the image below
Answer:
Step-by-step explanation:
The formula for this particular problem is
[tex]x^2=2(2+16)[/tex] and
x² = 2(18) and
x² = 36 so
x = 6
what is the dilation/scale factor?
Scale factor = (image)/(preimage)
[tex]AC=8\\\\A'C'=12[/tex]
So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]
Help , what is the measure of p
Answer:
Step-by-step explanation:
let angle p be x
x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)
x=56-27
x=29 degree
therefore p is 29 degree.
What are the roots of the quadratic equation below?
3x2 + 9x - 2 = 0
-9 + 105
O A. x =
6
O B.
X=
-3+105
2
C.
-91 57
6
OD.
x==34,57
Answer:
Step-by-step explanation:
The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.
Given is a quadratic equation,
3x² + 9x - 2 = 0
Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a
Here a = 3, b = 9 and c = -2.
Substituting the values,
x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)
= [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6
= [-9 ± √105 ] / 6
So the roots are [-9 ± √105 ] / 6.
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hi, if anyone knows this could you please help me out!
simplify ratio 12:28:20
Answer:
3 : 7 : 5
Step-by-step explanation:
Given
12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )
= 3 : 7 : 5
Greatest common factor for 28y^7x^4u^3 and 8x^4u^5
Answer:
Step-by-step explanation:
[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]
rewrite those 2 terms to better see what they have in common
[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]
because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative
The greatest common factor is:
[tex]4x^{4} u^{3}[/tex]
Find missing angleeeeeeeeeeeeeeeeeeeeeeee
Answer:
C) 80
Step-by-step explanation:
triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees
cuanto es (60 : 10 + 8) x 2
Answer:
28
Step-by-step explanation:
What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics? 0.22 0.25 0.70 0.88
Answer:
0.88
Step-by-step explanation:
We would consider the first case second column....
So 14/16 will be the probability that comes out be approximately 0.88.
Answer:
D
Step-by-step explanation:
I NEED HELP ASAP! What is the area of the following right triangle? 13 5
Answer:
Hello! answer: 30
Step-by-step explanation:
Triangle area can be found be doing base × height × 1/2 or base × height ÷ 2
So...
12 × 5 = 60 60 ÷ 2 = 30 therefore the area is 30 hope that helps!
The area of the following right-angled triangle is 30 sq units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
By the concept of Pythagoras' theorem,
13² = 5² + h².
h² = 13² - 5².
h² = 144.
h = 12.
Now, We have the height and we can find the area of the triangle,
= (1/2)×5×12.
= 30 sq units.
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Please guys say me the answer fast By full step by step process those who give me correct answer i will make him brainalist ☺️
Answer:
1. 345,600 seconds
2. 432,000 seconds
3. 1 day
4. 7500 meters
Hope that this helps!
Answer:
4 days=345600sec
5 days=432000
86400=24 hours
7.5km = 4.6miles
Step-by-step explanation:
60sec * 60= 1hour * 24 * 4=4 days if one day = 86400 sec than 4 days is 345600 and we know one day is 86400 seconds so just add that for one day
to convers km to mils you multiply the km value by .6214
Ramona wants to estimate 73% of 5,459 . To what should he round the percentage to find a reasonable estimate
Answer:
70%
Step-by-step explanation:
He should round the percentage to the nearest 10 which will give him a more reasonable prediction. Hope this helps!
help very easy 5th grade math im in rush
Answer:
C. every rhombus is a parallelogram
Answer:
every rhombus is also a parallelogram....
PLEEEEEEEEEASE HELLLPPP TEACHER IS TERRIBLE AND WONT HELP MEEEEEE
Answer:
A(-1,1) B(-3,2) C(-3,4) D(-1,5)
Step-by-step explanation:
when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.
can someone pls help me !
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST AND THANKS. find the value of x
Answer:
12
Step-by-step explanation:
20² - 16² = x²
400 - 256 = x
400 - 256 = 144
√144 = 12
HELPP WILL GIVE BRAINLEST !!!!!!!!
Answer:
8.06
Step-by-step explanation: