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2 years ago

What is the answer to 7(8a + 7)

2 answers:

6 0

Answer: 56a+46

1. Multiply each term in parentheses by 7

7*8+7*7

2. Calculate the problem

56a+7*7

3. Multiply the numbers

56a+46

Goshia [24]2 years ago

4 0

58a + 49 is the correct answer

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What is the volume of the rectangular prism?3 1/2 mm 9 mm 8 1/2 mm

FinnZ [79.3K]

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm

Express the mixed fraction into decimal :

$\begin{gathered} 3\frac{1}{2}=\frac{3\times2+1}{2} \\ 3\frac{1}{2}=\frac{7}{2} \\ 3\frac{1}{2}=3.5 \end{gathered}$ $\begin{gathered} 8\frac{1}{2}=\frac{8\times2+1}{2} \\ 8\frac{1}{2}=\frac{17}{2} \\ 8\frac{1}{2}=8.5 \end{gathered}$

So, the dimensions are : 3.5mm , 9mm & 8.5mm

Volume of the prism = Length x Breadth x Height

Susbtitute the value and simplify :

Volume of the prism = ( 3.5 x 9 x 8.5 ) mm

Volume of the prism = 267.75 mm

3 0

10 months ago

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc

g100num [7]

Answer:

y - Q = -5/2(x - P)

Step-by-step explanation:

The equation of a line in point slope form is expressed as y - y0 = m(x-x0)

(x0, y0) is the point

m is the slope

Given the equation

y = 2/5x− 4.

Slope m = 2/5

Slope of the perpendicular line = -1/(2/5) = -5/2

Point;

x0 = P

y0 = Q

Substitute into the formula;

y - y0 = m(x-x0)

y - Q = -5/2(x - P)

This gives the required equation

5 0

2 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :