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4 years ago

Write the linear equation -7x 8y=-1 in slope-intercept form

1 answer:

3 0

A slope intercept form is, take as an example: y=mx + b, because b is the number where the line intercepts the y axis.

Assuming the space inbetween -7x and 8y is a plus sign.

To get the equation in the right format, one must do the following:

8y=7x-1
y=7/8x-1/8

And theres your answer!

Note: The line intercepts the y axis in -1/8 :)
(If the space isnt a plus, i can answer diffrently in the comments.)

You might be interested in

In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=2x+15 m ∠ A = 2 x + 15 and LaTeX: m\angle B=x m ∠ B = x . Fi

Margarita [4]

Answer:
x = 55

Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.

In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°

Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55

Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°

Hope this helps :)

8 0

3 years ago

what is an equation of the line that passes through the points (-7,0)and(-6,-1)? Put your answer in fully reduced form.

Maslowich

Answer:

y= -x - 7

Step-by-step explanation:

8 0

4 years ago

What is the area, in square centimeters, of the trapezoid below?

Gnesinka [82]

Answer:

hi kenma-san!!!!!!

Step-by-step explanation:

A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.

We have to find the area of area of this trapezoid.

Area of trapezoid =

Given : Height = 6.4 cm

and parallel base is 12.9 cm and 8.6 cm.

Substitute, we have,

Area of trapezoid =

Simplify, we have,

Area of trapezoid =

Area of trapezoid = 68.8 cm²

Thus, The area of given trapezoid is 68.8 cm²

6 0

3 years ago

Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m

weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

$r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\$

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

$\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\$

Simplify the equation

$\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\$

Now we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method

$r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\$

So,

$(r-20) = 0 \\\\r = 20 \\\\$

$(r+16)=0 \\\\r = -16 \\\\$

Since rate cannot be negative, discard the negative value of r

Therefore, the rate is

$r = 20 \: mph$

3 0

4 years ago

Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%

Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

<em>Let x = the total number of seedlings</em>

<em /> $15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580$

Hence, three boys plant 580 seedlings altogether.

7 0

3 years ago