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netineya [11]
3 years ago
10

In right triangle ABC, D is the midpoint of the hypotenuse AB. If AD=(5x + 1)cm and CD=(2x + 10)cm, find AB

Mathematics
1 answer:
guapka [62]3 years ago
8 0
Can you confirm is hypotenuse should be AC...

ADB would make another right triangle if I am correct and you could use the pyth theorem to determine AB<span />
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There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?
lisov135 [29]

Answer:

27 grams of sugar

Step-by-step explanation:

If 1/3 candy contains 12 grams of sugar

Then 3/4 candy contains C grams of sugar

C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar

4 0
2 years ago
A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in mil
notsponge [240]

Answer: 97.5m

Step-by-step explanation:

5 0
3 years ago
Solve for x<br> 3<br> A<br> X<br> x + 4
irinina [24]
X=4x3•A+-6 hope this helps
6 0
2 years ago
What facts are required in order to conclude that m∠ADE = m∠ABC?
mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

3 0
3 years ago
If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
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