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3 years ago

Determine the intercepts of the line. y = -3x+ 12 y-intercept: ( -intercept:

Mathematics

2 answers:

Marat540 [252]3 years ago

6 0

Answer:

y-intercept: (0,12)

x-intercept: (4,0)

Step-by-step explanation:

Y intercept x =0

Y= -3x+12

Y= -3(0)+12

Y = 12

x intercept y = 0

Y= -3x+12

0 = -3x+12

3x = 12

x = 4

kvv77 [185]3 years ago

3 0

Answer:

12 is the y intercept and -3x is the slope

Step-by-step explanation:

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Meow help me pls :(((

pentagon [3]

Answer:

a) 3x-5=16

b) 30cm

Step-by-step explanation:

a) 5(x-1)=2(x+8)

5x-5=2x+16

5x-2x-5=16

3x-5=16

b) solving the equation gives x=7

put x=7 into first line, 5(7-1)=30cm

to check we can place it into second one as well

2(7+8)=30cm

5 0

3 years ago

Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is (-3, -129)

7 0

3 years ago

In 2008, the total trade between the United States and Japan was $2.04 x 101^1. The total trade between the U.S. And Australia w

jolli1 [7]

Answer:

6.21 times more

Step-by-step explanation:

Assuming 2.04 x 10^11 was only a typo

you would need to first equal the powers of 10

so 20.4 x 10^10 and 3.28 x 10^10

now that they have the same powers

$\frac{20.4 * 10^{10}}{3.28 * 10^{10}} = \frac{20.4}{3.28} = 6.219512...$

if it's asking for how many times i would approximate it to 6.21 times more

3 0

3 years ago

Help me out with these please! No links to suspicious sites!

weeeeeb [17]

Answer:

1) N = 2. 2) -7/3

Step-by-step explanation:

6 = 3n

6/3 = n

2 = n

n = 2

-3 = 3t + 4

3t + 4 = -3

3t = -3 - 4

3t = -7

T = -7/3

5 0

3 years ago

Read 2 more answers

1.-si el area de un rectangulo es de 144 metros cuadrados y su altura de 8 metros ¿ cual es el valor de su base?

kari74 [83]

Step-by-step explanation:

FÓRMULA:

$144 m^{2}$ = b(8 m)

SE DESPEJA

b = $144 m^{2}$ /8 m = 18 m

5 0

3 years ago