if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept

[tex]\longrightarrow{\green{90}}[/tex] 

Step-by-step explanation:

[tex]f(x) = 4 {x}^{2} + x - 5[/tex]

Now,

[tex]f( - 5) = 4( { - 5})^{2} + ( - 5) - 5 \\ \\ = 4 \times 25 - 5 - 5 \\ \\ = 100 - 5 - 5 \\ \\ = 100 - 10 \\ \\ = 90[/tex]

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

And,

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\sf\pink{(+\:x\:-)\:=\:-}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

Answer

p = 19/40

Please give brainliest

9514 1404 393

Answer:

  y = 3x -29

Step-by-step explanation:

The parallel line will have the same slope: 3. The y-intercept can be found from ...

  b = y -mx

  b = 1 -(3)(10) = 1 -30 = -29

Then the slope-intercept equation is ...

  y = 3x -29

Answer:

[tex]\frac{x^2}{16}+\frac{y^2}{25}=1[/tex]

Step-by-step explanation:

The equation of an ellipse with a center at [tex](h, k)[/tex] and vertices at [tex](h\pm a, k)[/tex] and [tex](h, k\pm b)[/tex] is given by [tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex].

Since two vertices are located at (-4, 0) and (0, 5), the other vertices must be located at (4, 0) and (0, -5).

What we know:

Thus, we have:

[tex]\frac{(x-0)^2}{4^2}+\frac{(y-0)^2}{5^2}=1\implies \boxed{\frac{x^2}{16}+\frac{y^2}{25}=1}[/tex]

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

rate of change: 15 pages per day

initial value: 50 pages

Step-by-step explanation:

In this scenario, the rate of change is 15 pages per day. This means that every single day Angelica can read 15 pages of the book and that is the number by which her total read pages will change. In 10 days Angelica can read 150 pages (10 days * 15 pages per day). Since the question states that in 10 days Angelica has read 200 pages then this means that the initial value of pages read would be 50 since this would be the number of missing pages to obtain the 200 read pages in a span of 10 days...

200 - 150 = 50 pages.

Answer:

The answer is 90 degrees

Answer:

third angle is 90 degree

Step-by-step explanation:

one angle is 50 degree

another angle is 40 degree

third angle = ?

let third angle be x

50 + 40 + x =180 degree (sum of interior angles of a trianglle)

90 + x =180

x = 180 - 90

x = 90 degree

Answer:

x = -1

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

This is from a website so you might have to rephrase it but Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if:

y=kx

for some constant k , called the constant of variation or constant of proportionality . (Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

The graph of the direct variation equation is a straight line through the origin.

Answer:

40 tubes

Step-by-step explanation:

1 liter = 1,000 milliliters

2 liters = 2,000 milliliters

3 liters = 3,000 milliliters

A tube of toothpaste = 75 ml

How many tubes can be filled using 3 litres of toothpaste?

Let

x = number of tubes

x tubes of toothpaste = 3000 ml

x = 3000 ml / 75 ml

x = 40

x = number of tubes = 40 tubes

Answer:

A)  opposite angles are congruent

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

Answer:

1. Unbiased

2. Biased

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

Cross multiply

36 = x²

Take the square root of both sidesw

x = ±6

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

Answer:

25

Step-by-step explanation:

this is a right triangle so you can use the Pythagorean Theorem where the sum of the square of each leg is equal to the square of the hypotenuse

missing length is a leg and we can assign the variable 'a'

the other leg can be 'c' and the hypotenuse can be 'c'

a² + 35² = 43²

a² + 1225 = 1849

subtract 1225 from each side to get:

a² = 624

take the square root of each side to get:

a = [tex]\sqrt{624}[/tex]

[tex]\sqrt{624}[/tex] is equal to 25 by the nearest tenth

Answer:

x=12.124

Step-by-step explanation:

here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

here and b are legs and c is hypotenuse

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 =196-49

x^2 =147

x=[tex]\sqrt{147}[/tex]

x=12.1243

x=12.124 (after converting to the nearest hundredth)

Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

THE CREDIT GOES TO (IjlalHashmi)

Answer:

[tex]9.38 \times 10^{2}[/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       [tex]m \times 10^n[/tex],

where m is a number between 1 and 10.

Answer:

[tex]9.38 \times {10}^{2} [/tex]

Step-by-step explanation:

All numbers in standard form are written

[tex]m \times {10}^{n} [/tex]

Answer:

yes it is because a right angle triangle has a 90 degree angle and the other sides are equal

Answer:

[tex]9^3[/tex]

Step-by-step explanation:

Rules Used

[tex]a ^x \cdot a^y = a^{x+y}[/tex]

[tex]\frac{b^x}{b^y} = b^{x-y}[/tex]

[tex]\frac{9^6 \cdot 9^0 \cdot 9^4}{9^7} = 9^{6 + 0 + 4 -7} = 9^{10-7} = 9^3[/tex]

Answer:

9^3

Step-by-step explanation:

When we want to multiply exponents, we use the formula a^m x a^n= a^m+n.

In this case, we can see that 9 is our a, and their respective exponents are mn and n.

9^6 x 9^0 x 9^4 = 9^6+0+4= 9^10

When dividing exponents we subtract the exponents for each number from the top. For example, 9^10/9^7= 9^10-7= 9^3

If we want to simplify this even further, 9^3 = 729.

Hope this helps!

:)