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exis [7]
3 years ago
9

Solve this equation.

Mathematics
1 answer:
dsp733 years ago
5 0

Answer:

X=1

Step-by-step explanation:

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Put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6
Anarel [89]

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

3 0
3 years ago
The circumference of a circle is 13π ft. What is the area, in square feet? Express your answer in terms of π.
Ksenya-84 [330]

Answer:

\frac{169}{4} \pi square feet

Step-by-step explanation:

Circumference = 2πr

13π = 2πr

\frac{13}{2}=r

Area = πr²

π × \frac{13}{2}² =

\frac{169}{4}π square feet

5 0
3 years ago
Katie said, "The ratio of people to pets in my family is 2 to 1. For every two people we have one pet." If her family has three
vivado [14]
6 people because there is 2 times as many humans compared to pets. so 3 x 2 = 6!
6 0
3 years ago
Read 2 more answers
Find the product of all positive integer values of $c$ such that $3x^2+7x+c=0$ has two real roots. I will award a lot of points
Agata [3.3K]

Answer:  24

<u>Step-by-step explanation:</u>

Let's find one solution:

3x² + 7x + c = 0

a=3 b=7  c=c

First, let's find c so that it has REAL ROOTS.

⇒ Discriminant (b² - 4ac) ≥ 0

                         7² - 4(3)c ≥ 0

                         49 - 12c ≥ 0

                               -12c  ≥ -49

                                c\leq\dfrac{-49}{-12}\quad \rightarrow c\leq \dfrac{49}{12}      

Since c must be a positive integer, 1 ≤ c ≤ 4

Example: c = 4

3x² + 7x + 4 = 0

(3x + 4)(x + 1) = 0

x = -4/3, x = -1         Real Roots!

<em>You need to use Quadratic Formula to solve for c = {1, 2, 3}</em>

<em />

Valid solutions for c are: {1, 2, 3, 4)

Their product is: 1 x 2 x 3 x 4 = 24

<em />

7 0
3 years ago
What is the equation of a parabola with a focus (2,4) and directrix y = 0?
svet-max [94.6K]

Answer:

The equation of the parabola is (x-2)^2 =8(y-2)

Step-by-step explanation:

Given focus is (2,4) and the directrix is y=0 so the parabola axis is parallel to y- axis.

Focus is (α,β+a) and the directrix is of the form y = β-a

so given  focus is (2,4) compare (α,β+a)

                  here β+a = 4 and a=2 and β=2

now given directrix y = β-a = 2-2 = 0

now the general parabola is (x-α)^2 =4a(y-β) ...(1)

now substitute α =2 ,β=2 and a=2 above equation

The equation of the parabola is (x-2)^2 =8(y-2)

6 0
3 years ago
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