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3 years ago

If c=4h calculate C when h=7

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

8 0

C = 4h or c = 4 * h
Substitute h for 7 in c = 4h
C = 4 x 7
4 x 7 = 28
c = 28

ra1l [238]3 years ago

6 0

Hey there!
In this problem, we see that c is equal to four multiplied by h.
If we plug in our value for h, we get:
c = 4(7)
Simplify right side:
c = 28
Hope this helps!

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The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r

insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Area of a rectangle:

A rectangle has width $w$ and length $l$ . The area is the multiplication of these measures, that is:

$A = wl$

The length of a rectangle is the sum of the width and one.

This means that $l = w+1$ , or $w = l - 1$

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

$wl = 72$

$(l-1)l = 72$

$l^2 - l - 72 = 0$

Quadratic equation with $a = 1, b = -1, c = -72$ . So

$\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289$

$l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9$

$l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8$

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0

2 years ago

Someone pls help me, with this science problem

andrew11 [14]

Answer:

I think it is C-D.

Step-by-step explanation:

3 0

2 years ago

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

lesya692 [45]

Answer:

A)segment A"B"= AB / 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?

coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)

A)segment A"B"= AB / 2

B)segment AB = segment A"B"/ 2

C)segment AB / segment A"B"= 1/2

D)segment A"B" / segment AB = 2

A"B" = AB / 2

Because

1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB

2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).

Therefore A"B" = (1/2)AB, or AB/2.

4 0

3 years ago

What is the slope of 4x+5y= -10

Aleonysh [2.5K]

Answer:

$-\frac{4}{5}$

Step-by-step explanation:

To find the slope, rearrange the equation to y=mx+b or y=mx+c.

$4x+5y=-10$

Subtract 4x from both sides:

$5y=-10-4x$

Divide 5 on both sides:

$y=\frac{-10-4x}{5}$

$y=-\frac{4}{5} x-2$

In the equation of y=mx+b/y=mx+c, m will be the slope.

Therefore, the slope is $-\frac{4}{5}$

6 0

3 years ago

A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original numbe

elena-s [515]

Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number

3 0

3 years ago