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Vsevolod [243]
2 years ago
15

Which strategy is the most appropriate strategy to solve 5x^2+30x ?

Mathematics
1 answer:
guapka [62]2 years ago
4 0
B. Square root property
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Volume of this prism ​
Lyrx [107]

The volume is (area of cross-section) x (length) .

-- The cross-section is a triangle.  The area of a triangle is

Area = (1/2) (base) (height) .

In this one, the base is 9/4 m and the height is 3-1/3 m .

Area = (1/2) (9/4 m) (3-1/3 m)

Area = (1/2) (9/4) (10/3)

Area = 90/24 m² .

-- Volume = (area of cross-section) x (length)

Volume = (90/24 m²) x (7-1/3 m)

Volume = (90/24) x (22/3) m³

Volume = (1,980 / 72) m³

<em>Volume = 27.5 m³  </em>

5 0
3 years ago
Solve the solution of equations. <br><br> 3x + 4y = -23<br><br> X = 3y + 1 <br><br> X = <br><br> Y =
Greeley [361]

Answer:

<h2>x = -5</h2><h2>y = -2</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}3x+4y=-23&(1)\\x=3y+1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3(3y+1)+4y=-23\qquad\text{use the distributive property}\\\\(3)(3y)+(3)(1)+4y=-23\\\\9y+3+4y=-23\qquad\text{subtract 3 from both sides}\\\\13y=-26\qquad\text{divide both sides by 13}\\\\\boxed{y=-2}\\\\\text{Put the value of }\ y\ \text{to (2)}:\\\\x=3(-2)+1\\\\x=-6+1\\\\\boxed{x=-5}

4 0
3 years ago
Read 2 more answers
Use counters or a number line to find the sum.<br> -4 + (-6)​
yawa3891 [41]

Answer:

the answer is -10

Step-by-step explanation:

7 0
2 years ago
given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl
Phantasy [73]

If two parallel lines are cut by a transversal, the corresponding angles are congruent.

3 0
2 years ago
What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin
murzikaleks [220]

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:

... m = -1/(3/5) = -5/3

The point-slope form of the equation of a line can be written as

... y = m(x -h) +k . . . . .for slope m and point (h, k)

Using the values we are given for the perpendicular line, its equation is

... y = (-5/3)(x -15) -5

Simplifying gives

... y = (-5/3)x +20

The y-intercept of the perpendicular line is 20.

7 0
2 years ago
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