Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

A. -12/5
B. -4
C. 4

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation

To find k use any ordered pair from the table.

Using (1, 4 ) , then

4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1

4 = k

y = [tex]\frac{4}{x^2}[/tex] ← equation of variation

(b)

When y = 25 , then

25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )

25x² = 4 ( divide both sides by 25 )

x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]

Since x > 0 then x = [tex]\frac{2}{5}[/tex]

Answer:

S.S.S

Step-by-step explanation:

When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .

hope it is helpful to you

Answer:

7.07106781187

Step-by-step explanation:

if its just asking [tex]\sqrt50[/tex]

:D

Answer:

x=22

Step-by-step explanation:

x+14=5x-74 (being corresponding angles and correcponding angles are always equal)

14+74=5x-x

88=4x

88/4=x

22=x

Answer:

1 x (4 x 2) = 8

Step-by-step explanation:

1 x (4 x 2) = 8

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be [tex]3:4[/tex].

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are [tex]\overline{RS}[/tex] and [tex]\overline{AB}[/tex].

The ratio of [tex]\overline{RS}:\overline{AB}[/tex] is [tex]18:24\implies \boxed{3:4}[/tex].

The reason why it ideally should be [tex]3:4[/tex] and not [tex]4:3[/tex] is because the question states [tex]RTSU\sim ABCD[/tex], which mentions [tex]RSTU[/tex] first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

Answer:

a = -7, b = -1, c = 1/3

Step-by-step explanation:

-x + 1/3 - 7x² ⇒ -7x² - x + 1/3

a = -7  b = -1  c = 1/3

Answer:

Step-by-step explanation:

[tex]ax^{2} + bx + c\\-7x^{2} - x + \frac{1}{3} \\a = -7\\b = -1\\c = \frac{1}{3}[/tex]

Answer: Almost 232 students going on the field trip.

Step-by-step explanation:

Let x be the number of students going on the field trip.

As per given,

[tex]2x+35 \leq500[/tex], where [tex]x\geq2[/tex].

To solve the inequality , subtract 35 from both sides

[tex]2x\leq465\\\\x\leq232.5[/tex] [divide both sides by 2]

i.e Almost 232 students going on the field trip.

Answer:

among us lm*o na everything

Step-by-step explanation:

Needed a point sorry UenEkajeahekesknshshshh

Answer:

Step-by-step explanation:

In Sexagesimal system  we know that π=180°

            [tex](2\times \frac{\pi}{3})^{\circ} = (2 \times \frac{180}{3})^{\circ} = (2 \times 60)^{\circ} = 120^{\circ}[/tex]

Answer:

120 ° is the correct ☑ answer.

Step-by-step explanation:

We know that in Sexagesimal measure the value of π is 180 ° .

( 2 π / 3 ) = 2 × 180 ° /3 = 360 °/ 3

= 120 °

Answer:

second option ED + EF < DF

Step-by-step explanation:

in order to build a triangle or of 3 lines, every pair of 2 of these lines must be longer together than the third line.

otherwise you could put them together and place them flat alongside the third line and still cannot connect to the endpoint of the third line => no triangle possible.

ED (or DE) is half of the third line (DF or FD).

FE (or EF) is a third of the third line.

1/2 + 1/3 < 1/1 (because 1/3 < 1/2)

Answer:

ED + EF < DF or b

Answer:

BA/YX=BC/YZ=AC/XZ

Step-by-step explanation:

SINCE,

ABC AND XYZ ARE EQUILATERAL TRIANGLE

ALL THREE SIDES ARE EQUAL

Answer:

what do u want us to do pls be more clear!

Answer:

O  A. [tex](-1,2)[/tex]

Step-by-step explanation:

[tex]y=x+3[/tex]

[tex]2=-1+3[/tex]

[tex]2=2[/tex]

[tex]y=-x+1[/tex]

[tex]2=-1+1[/tex]            Since two -x's are being used, x becomes positive!

2 = 1 + 1

2 = 2

Solution: (-1, 2)

Answer:

volume of a cone formula = V=πr²h/

3

V=3.14(5)²3/3

V≈78.54

Answer:

19.20

Step-by-step explanation: used

a calc

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

(3x-4y)(3x-4y)

Answer:

[tex](3x -4y)^2[/tex]

Step-by-step explanation:

[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]

                           [tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]

a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]

                           [tex]=(3x -4y)(3x - 4y)[/tex]

[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]

Answer:

? = 15 yards

Step-by-step explanation:

h² + b² = ?²

9² + 12² = ?²

81 + 144

225

√225 = 15

Answer:

Pythagorean theorem

Step-by-step explanation:

You should use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2+ 12^2 = ?^2

81 +144 = ?^2

225 = ?^2

Take the square root of each side

sqrt(225) = sqrt(?^2)

15 =?

5896

Given data set:

6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896

To calculate the 30th percentile;

i. Rearrange the given data set in ascending order.

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

ii. Use the following formula to get the index of the value at the 30th percentile.

N = p(n)

Where;

N = the number of data points at or below the intended percentile.

p = the intended percentile.

n = the number of points in the data.

In this case;

p = 30 percent = 0.3

n = 14

Substitute these values into the equation;

N = 0.3(14)

N = 4.2

iii. From the calculated index, find the value of the 30th percentile.

If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.

For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;

[tex]\frac{5896+5896}{2}[/tex] = 5896

If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.

For example, in our case, the index is 4.2 which when rounded up becomes 4.

Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

Answer:

Step-by-step explanation:

[tex]\sf 5(x - 10) = 30 - 15x[/tex]

[tex]\sf 5x-50=30-15x[/tex]

[tex]\sf 5x-50+50=30-15x+50[/tex]

[tex]\sf 5x=-15x+80[/tex]

[tex]\sf 5x+15x=-15x+80+15x[/tex]

[tex]\sf 20x=80[/tex]

[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]

[tex]\sf x=4[/tex]

Answer:

15000 loan

Step-by-step explanation:

Suppose comparison date = 8 years

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

dhhdf Hf fu vvvvvvvbbb jcjsjjsisydydhfb DJ

Answer:

The remainder is -4112.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).

We are dividing:

[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]

We can rewrite the divisor as:

[tex]x+10=x-(-10)[/tex]

So, a = -10.

Then according to the PRT, the remainder of the operation will be:

[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]

Answer:

4 Matches

Step-by-step explanation:

According To the Question,

Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]

Thus, Total Matches = 52 / 13 ⇔ 4 Matches

Answer:

.p^2+b^2=h^2

.144+b^2=225

.b^2=81

. therefore b=9

again. to

volume =1/3πr^2

=1/3×22/7×81

=567/21

=27ft^2

Answer:

The range is between -2 and +4.

Step-by-step explanation:

To find range you just need to get X ignoring the Y.

(X+2) is X= -2

(X-4) is X = +4