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3 years ago

Compute $\sqrt{25^2-7^2}$.

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24$

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Someone please help me

Tresset [83]

About 14.58% it’s 3499.2 14.59% ends up being around 3501.6

3 0

3 years ago

Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$

3 0

3 years ago

Answer ASAP, will give brainliest

Eduardwww [97]

Answer:

A) 5.4 cm

Step-by-step explanation:

Length of mid segment = (sum of parallel sides )/2

Sum of parallel sides = PQ + SR = 9 + SR

$\frac{9+SR}{2}=MN\\\\\frac{9+SR}{2}=7.2 cm\\9 +SR = 7.2*2\\\\9 + SR = 14.4\\ SR = 14.4 -9 \\SR = 5.4 cm$

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3 years ago

Licemer1 [7]

Answer:

Step-by-step explanation:2r

(b) the perimeter of r+S + 5

the triangle in metres.

(c) Find the area of the triangle to 3 s.f.

Explain pls

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2 years ago

Lori want to distribute 35 peaches equally into baskets. she will use more than 1 but fewer than 10 baskets how many basket Lori

Hunter-Best [27]

Unless this is a trick question, I think 7 baskets. If you have 7 baskets then you can put 5 peaches in each basket. Hope this is right.

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3 years ago